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707.093 | Bayesian Learning of Neural Networks for Signal/Background
Discrimination in Particle Physics | Neural networks are used extensively in classification problems in particle
physics research. Since the training of neural networks can be viewed as a
problem of inference, Bayesian learning of neural networks can provide more
optimal and robust results than conventional learning methods. We have
investigated the use of Bayesian neural networks for signal/background
discrimination in the search for second generation leptoquarks at the Tevatron,
as an example. We present a comparison of the results obtained from the
conventional training of feedforward neural networks and networks trained with
Bayesian methods.
| physics.data-an | neural networks are used extensively in classification problems in particle physics research since the training of neural networks can be viewed as a problem of inference bayesian learning of neural networks can provide more optimal and robust results than conventional learning methods we have investigated the use of bayesian neural networks for signalbackground discrimination in the search for second generation leptoquarks at the tevatron as an example we present a comparison of the results obtained from the conventional training of feedforward neural networks and networks trained with bayesian methods | [['neural', 'networks', 'are', 'used', 'extensively', 'in', 'classification', 'problems', 'in', 'particle', 'physics', 'research', 'since', 'the', 'training', 'of', 'neural', 'networks', 'can', 'be', 'viewed', 'as', 'a', 'problem', 'of', 'inference', 'bayesian', 'learning', 'of', 'neural', 'networks', 'can', 'provide', 'more', 'optimal', 'and', 'robust', 'results', 'than', 'conventional', 'learning', 'methods', 'we', 'have', 'investigated', 'the', 'use', 'of', 'bayesian', 'neural', 'networks', 'for', 'signalbackground', 'discrimination', 'in', 'the', 'search', 'for', 'second', 'generation', 'leptoquarks', 'at', 'the', 'tevatron', 'as', 'an', 'example', 'we', 'present', 'a', 'comparison', 'of', 'the', 'results', 'obtained', 'from', 'the', 'conventional', 'training', 'of', 'feedforward', 'neural', 'networks', 'and', 'networks', 'trained', 'with', 'bayesian', 'methods']] | [-0.004407911146781669, -0.0006216333672506316, -0.040346315496841846, 0.13373007696498646, -0.06859016733432419, -0.2165869555509325, 0.00046859126213645, 0.45760817548490307, -0.26323112125477094, -0.31284414422227425, 0.06475323048456876, -0.23061384909440963, -0.23896724758460447, 0.24233451303947465, -0.08010778660373238, 0.15192944918016202, 0.15782338034445315, 0.04339538196270522, -0.0946953668673732, -0.30095935826388637, 0.28510675428623566, 0.06555960132750903, 0.33780988014376395, -0.022780917291895728, 0.10822735576147444, -0.04844786206801851, -0.009763631948761725, -0.006826110717871886, -0.06051479675283844, 0.20005766467552297, 0.34621090225331236, 0.2236678498179725, 0.3623484278495392, -0.45138188263171175, -0.2763700143570143, 0.1774963103234768, 0.17721161128576385, 0.15830594078334195, -0.023795015663412147, -0.3386014528739988, 0.09128835008432565, -0.1859805015323872, 0.05601548822596669, -0.14918334915543371, -0.09445501971738728, 0.00867681580940994, -0.31549619634248566, 0.03421704257966616, 0.05594576024607326, 0.08751731575205085, -0.01630166286518902, -0.16999210856771202, 0.003199389659579885, 0.12104572253197096, 0.02055127705248554, 0.040422657214293486, 0.11213831613925966, -0.23324145702121968, -0.2761323705179554, 0.3311973386077901, -0.06263898354199626, -0.19940519493512726, 0.16000012620195245, 0.038928014864580016, -0.1807099689907405, 0.05937364110409209, 0.30547599789550467, 0.12536629612735484, -0.19579047619710477, -0.011664499451531871, -0.026226855537153027, 0.1393540472137543, 0.0146303691671052, -0.02360762044619978, 0.17319804398222627, 0.3638063546772418, 0.03143598499388717, 0.13824860708071232, -0.1695164167871594, -0.06715188743651249, -0.22052375595556217, -0.05547634582296851, -0.21056943907391992, 0.00154272663626778, -0.09692261114767543, -0.13863362716458572, 0.38131930938597475, 0.18995401690180383, 0.1868304278848044, 0.1700009576965835, 0.3058921235791418, 0.06148602587845846, 0.14051845041888483, 0.10441006562055162, 0.28538823280525344, 0.11649730428006877, 0.2047163141326288, -0.09655538265197014, 0.0898417048522512, 0.03676907405299082] |
707.0931 | The low-luminosity tail of the GRB distribution: the case of GRB 980425 | (abridged) The association of GRB 980425 with SN 1998bw at z=0.0085 implies
the existence of a population of GRBs with an isotropic-equivalent luminosity
which is about 10^4 times smaller than in the standard cosmological case. We
investigate two scenarios to explain a weak GRB : a normal (intrinsically
bright) GRB seen off-axis or an intrinsically weak GRB seen on-axis. For each
of these two scenarios, we first derive the conditions to produce a GRB
980425-like event and we then discuss the consequences for the event rate. If
we exclude the possibility that GRB 980425 is an occurence of an extremely rare
event observed by chance during the first eight years of the 'afterglow era',
the first scenario implies that (i) the local rate of standard bright GRBs is
much higher than what is usually expected; (ii) the typical opening angle is
much narrower than what is derived from observations of a break in the
afterglow lightcurve. In addition, we show that the afterglow of GRB 980425 in
this scenario should have been very bright and easily detected. For these
reasons the second scenario appears more realistic. We show that the parameter
space of the internal shock model indeed allows GRB 980425-like events, in
cases where the outflow is only mildly-relativistic and mildly-energetic. The
rate of such weak events in the Universe has to be much higher than the rate of
standard bright GRBs to allow the discovery of GRB 980425 during a short period
of a few years. However it is still compatible with the observations as the
intrinsic weakness of these GRB 980425-like bursts does not allow detection at
cosmological redshift. We finally briefly discuss the consequences of such a
high local rate of GRB 980425-like events for the future prospects of detecting
non-electromagnetic radiation, especially gravitational waves.
| astro-ph | abridged the association of grb 980425 with sn 1998bw at z00085 implies the existence of a population of grbs with an isotropicequivalent luminosity which is about 104 times smaller than in the standard cosmological case we investigate two scenarios to explain a weak grb a normal intrinsically bright grb seen offaxis or an intrinsically weak grb seen onaxis for each of these two scenarios we first derive the conditions to produce a grb 980425like event and we then discuss the consequences for the event rate if we exclude the possibility that grb 980425 is an occurence of an extremely rare event observed by chance during the first eight years of the afterglow era the first scenario implies that i the local rate of standard bright grbs is much higher than what is usually expected ii the typical opening angle is much narrower than what is derived from observations of a break in the afterglow lightcurve in addition we show that the afterglow of grb 980425 in this scenario should have been very bright and easily detected for these reasons the second scenario appears more realistic we show that the parameter space of the internal shock model indeed allows grb 980425like events in cases where the outflow is only mildlyrelativistic and mildlyenergetic the rate of such weak events in the universe has to be much higher than the rate of standard bright grbs to allow the discovery of grb 980425 during a short period of a few years however it is still compatible with the observations as the intrinsic weakness of these grb 980425like bursts does not allow detection at cosmological redshift we finally briefly discuss the consequences of such a high local rate of grb 980425like events for the future prospects of detecting nonelectromagnetic radiation especially gravitational waves | [['abridged', 'the', 'association', 'of', 'grb', '980425', 'with', 'sn', '1998bw', 'at', 'z00085', 'implies', 'the', 'existence', 'of', 'a', 'population', 'of', 'grbs', 'with', 'an', 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707.0932 | Extension of automorphisms to C*-crossed products with non-trivial
centre | Given a quasi-special endomorphism $\rho$ of a C*-algebra A with nontrivial
center, we study an extension problem for automorphisms of A to a minimal
cross-product B of A by $\rho$. Exploiting some aspects of the underlying
generalized Doplicher-Roberts duality theory based on Pimsner algebras, an
obstruction to the existence of such extensions is found and described in terms
of sections of a suitable group bundle.
| math.OA | given a quasispecial endomorphism rho of a calgebra a with nontrivial center we study an extension problem for automorphisms of a to a minimal crossproduct b of a by rho exploiting some aspects of the underlying generalized doplicherroberts duality theory based on pimsner algebras an obstruction to the existence of such extensions is found and described in terms of sections of a suitable group bundle | [['given', 'a', 'quasispecial', 'endomorphism', 'rho', 'of', 'a', 'calgebra', 'a', 'with', 'nontrivial', 'center', 'we', 'study', 'an', 'extension', 'problem', 'for', 'automorphisms', 'of', 'a', 'to', 'a', 'minimal', 'crossproduct', 'b', 'of', 'a', 'by', 'rho', 'exploiting', 'some', 'aspects', 'of', 'the', 'underlying', 'generalized', 'doplicherroberts', 'duality', 'theory', 'based', 'on', 'pimsner', 'algebras', 'an', 'obstruction', 'to', 'the', 'existence', 'of', 'such', 'extensions', 'is', 'found', 'and', 'described', 'in', 'terms', 'of', 'sections', 'of', 'a', 'suitable', 'group', 'bundle']] | [-0.18314470569384866, 0.048886064378621086, -0.11484281459706835, 0.06596982308292354, -0.10516777346492745, -0.10080965757515514, 0.013301274286277476, 0.2917049786556163, -0.33724468434229493, -0.20439953252207488, 0.0992054457328777, -0.2417719528748421, -0.1700924519846012, 0.16723199500120245, -0.11832029134166078, -0.002931130766228307, 0.016450135910417885, 0.155886851309333, -0.14423650233948138, -0.17956908847736486, 0.4033620887857978, 0.025126514405201306, 0.19351916025334504, 0.08077520103324787, 0.15291988132230472, 0.04452365757606458, -0.013129906885296805, 0.03667720655721496, -0.1490389509308443, 0.14923450194874022, 0.2506310328026302, 0.08685010971021256, 0.23167056540842168, -0.34575967336422764, -0.1597699443664169, 0.1708532571210526, 0.09558896544695017, -0.005569787776039448, -0.07216193427484541, -0.2968588658841327, 0.11375241925998125, -0.2280538546910975, -0.17716962607664755, -0.057863454159814864, 0.0660903918560507, -0.026181304336205358, -0.2789599944917427, -0.017186084325658157, 0.08455425860302057, 0.1316578875266714, -0.09070380712728365, -0.05383796155365417, -0.04358862264780328, 0.04538620041421382, -0.01332293944506091, 0.036533274807879934, 0.1216212096514937, -0.12551507267926354, -0.1754119535908103, 0.3931943908100948, -0.07222871085104998, -0.2477001199604274, 0.13797778118532733, -0.11308897364506265, -0.17745543345517945, 0.10162781258986797, 0.09171249585779151, 0.1538015567639377, -0.07389432859781664, 0.1907720273876521, -0.14726286387303844, 0.08509212471835781, 0.025737188159837388, 0.008389432914555073, 0.14526050802669488, 0.13348133784893434, 0.07572086946311174, 0.1467922960728174, 0.05610314979639952, -0.04256812485982664, -0.39639548829291016, -0.19939555440214463, -0.08496527884562965, 0.11819862948323134, -0.0677170851702158, -0.1709058354899753, 0.42689058555697557, 0.04337893353658728, 0.2478608282035566, 0.05866867455188185, 0.1968215512097231, 0.09025104447209742, 0.07007364085166046, 0.04975192161077757, 0.12002095482830555, 0.2953586427065602, -0.04122935427585617, -0.1783446624831413, -0.03159451179817552, 0.18035793519266008] |
707.0933 | An ultraluminous supersoft source with a 4 hour modulation in NGC 4631 | Context. Supersoft X-ray sources (SSSs) are characterised by very low
temperatures (< 100 eV). Classical SSSs have bolometric luminosities in the
range of 10^36-10^38 erg/s and are modelled with steady nuclear burning of
hydrogen on the surfaces of white dwarfs. However, several SSSs have been
discovered with much higher luminosities. Their nature is still unclear. Aims.
We report the discovery of a 4h modulation for an ultraluminous SSS in the
nearby edge-on spiral galaxy NGC 4631, observed with XMM-Newton in 2002 June.
Temporal and spectral analysis of the source is performed. Methods. We use a
Lomb-Scargle periodogram analysis for the period search and evaluate the
confidence level using Monte-Carlo simulations. We measure the source
temperature, flux and luminosity through spectral fitting. Results. A
modulation of 4.2+-0.4 h (3 sigma error) was found for the SSS with a
confidence level >99%. Besides dips observed in the light curve, the flux
decreased by a factor of 3 within ~10h. The spectrum can be described with an
absorbed blackbody model with kT~67eV. The absorbed luminosity in the 0.2-2 kev
energy band was 2.7x10^38 erg/sec while the bolometric luminosity was a hundred
time higher (3.2x10^40 erg/s), making the source one of the most luminous of
its class, assuming the best fit model is correct. Conclusions. This source is
another very luminous SSS for which the standard white dwarf interpretation
cannot be applied, unless a strong beaming factor is considered. A stellar-mass
black hole accreting at a super Eddington rate is a more likely interpretation,
where the excess of accreted matter is ejected through a strong optically-thick
outflow. The 4 h modulation could either be an eclipse from the companion star
or the consequence of a warped accretion disk.
| astro-ph | context supersoft xray sources ssss are characterised by very low temperatures 100 ev classical ssss have bolometric luminosities in the range of 10361038 ergs and are modelled with steady nuclear burning of hydrogen on the surfaces of white dwarfs however several ssss have been discovered with much higher luminosities their nature is still unclear aims we report the discovery of a 4h modulation for an ultraluminous sss in the nearby edgeon spiral galaxy ngc 4631 observed with xmmnewton in 2002 june temporal and spectral analysis of the source is performed methods we use a lombscargle periodogram analysis for the period search and evaluate the confidence level using montecarlo simulations we measure the source temperature flux and luminosity through spectral fitting results a modulation of 4204 h 3 sigma error was found for the sss with a confidence level 99 besides dips observed in the light curve the flux decreased by a factor of 3 within 10h the spectrum can be described with an absorbed blackbody model with kt67ev the absorbed luminosity in the 022 kev energy band was 27x1038 ergsec while the bolometric luminosity was a hundred time higher 32x1040 ergs making the source one of the most luminous of its class assuming the best fit model is correct conclusions this source is another very luminous sss for which the standard white dwarf interpretation cannot be applied unless a strong beaming factor is considered a stellarmass black hole accreting at a super eddington rate is a more likely interpretation where the excess of accreted matter is ejected through a strong opticallythick outflow the 4 h modulation could either be an eclipse from the companion star or the consequence of a warped accretion disk | [['context', 'supersoft', 'xray', 'sources', 'ssss', 'are', 'characterised', 'by', 'very', 'low', 'temperatures', '100', 'ev', 'classical', 'ssss', 'have', 'bolometric', 'luminosities', 'in', 'the', 'range', 'of', '10361038', 'ergs', 'and', 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707.0934 | Multiperiodic pulsations in the Be stars NW Ser and V1446 Aql | Aims: We present accurate photometric time series of two Be stars: NW Ser and
V1446 Aql. Both stars were observed at the Observatorio de Sierra Nevada
(Granada) in July 2003 with an automatic four-channel Str\"omgren photometer.
We also present a preliminary theoretical study showing that the periodic
variations exhibited by these stars can be due to pulsation.
Methods: An exhaustive Fourier analysis together with a least-square fitting
has been carried out on the time series for all four Str\"omgren bands. Several
independent frequencies and non-periodic trends explain most of the variance. A
theoretical non-adiabatic code applied to stellar models for these stars shows
that g-modes are unstable.
Results: Both stars show rapid variations in amplitude, probably due to a
beating phenomenon. Four significant frequencies have been detected for each
star. Comparison of the observed amplitude ratios for each pulsational
frequency with those calculated from theoretical pulsation codes allows us to
estimate the pulsation modes associated with the different detected
frequencies. NW Ser seems also to show unstable p-modes and thus could be one
of the newly discovered $\beta$ Cephei and SPB hybrid stars. Further
spectroscopic observations are planned to study the stability of the detected
frequencies.
| astro-ph | aims we present accurate photometric time series of two be stars nw ser and v1446 aql both stars were observed at the observatorio de sierra nevada granada in july 2003 with an automatic fourchannel stromgren photometer we also present a preliminary theoretical study showing that the periodic variations exhibited by these stars can be due to pulsation methods an exhaustive fourier analysis together with a leastsquare fitting has been carried out on the time series for all four stromgren bands several independent frequencies and nonperiodic trends explain most of the variance a theoretical nonadiabatic code applied to stellar models for these stars shows that gmodes are unstable results both stars show rapid variations in amplitude probably due to a beating phenomenon four significant frequencies have been detected for each star comparison of the observed amplitude ratios for each pulsational frequency with those calculated from theoretical pulsation codes allows us to estimate the pulsation modes associated with the different detected frequencies nw ser seems also to show unstable pmodes and thus could be one of the newly discovered beta cephei and spb hybrid stars further spectroscopic observations are planned to study the stability of the detected frequencies | [['aims', 'we', 'present', 'accurate', 'photometric', 'time', 'series', 'of', 'two', 'be', 'stars', 'nw', 'ser', 'and', 'v1446', 'aql', 'both', 'stars', 'were', 'observed', 'at', 'the', 'observatorio', 'de', 'sierra', 'nevada', 'granada', 'in', 'july', '2003', 'with', 'an', 'automatic', 'fourchannel', 'stromgren', 'photometer', 'we', 'also', 'present', 'a', 'preliminary', 'theoretical', 'study', 'showing', 'that', 'the', 'periodic', 'variations', 'exhibited', 'by', 'these', 'stars', 'can', 'be', 'due', 'to', 'pulsation', 'methods', 'an', 'exhaustive', 'fourier', 'analysis', 'together', 'with', 'a', 'leastsquare', 'fitting', 'has', 'been', 'carried', 'out', 'on', 'the', 'time', 'series', 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'cephei', 'and', 'spb', 'hybrid', 'stars', 'further', 'spectroscopic', 'observations', 'are', 'planned', 'to', 'study', 'the', 'stability', 'of', 'the', 'detected', 'frequencies']] | [-0.10419724099815655, 0.1293286200262045, -0.10785085496564324, 0.07746841719759126, -0.1100142672777367, -0.13050808317195148, 0.06629137628986381, 0.41323035206550207, -0.16545226108581304, -0.311056327394759, 0.10048921852229306, -0.2902303022655617, -0.1036094877191294, 0.25494629847697725, -0.07337373189437084, 0.038327991139167586, 0.1443225871025322, -0.04720579558649124, -0.010349238974352677, -0.24153891664404326, 0.2043497478756576, 0.061863311692529045, 0.19546168905993302, -0.06838377212675718, -0.00979831113647192, -0.12033552689662871, -0.10374929917355379, -0.041848598637928565, -0.15069363340533948, 0.022726107235902394, 0.2890410973388405, 0.08799504368974176, 0.20575459206667848, -0.3693838558422449, -0.21642850004136563, 0.027677118176451097, 0.1875754270881701, 0.057027968464013284, 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707.0935 | Magnetic double gradient instability and flapping waves in a current
sheet | A new kind of magnetohydrodynamic instability and waves are analyzed for a
current sheet in the presence of a small normal magnetic field component
varying along the sheet. These waves and instability are related to existence
of two gradients of the tangential and normal magnetic field components along
the normal and tangential directions with respect to the current sheet. The
current sheet can be stable or unstable if the multiplication of two magnetic
gradients is positive or negative. In the stable region, the kink-like wave
mode is interpreted as so called flapping waves observed in the Earth's
magnetotail current sheet. The kink wave group velocity estimated for the
Earth's current sheet is of the order of a few tens kilometers per second. This
is in good agreement with the observations of the flapping motions of the
magnetotail current sheet.
| physics.space-ph physics.plasm-ph | a new kind of magnetohydrodynamic instability and waves are analyzed for a current sheet in the presence of a small normal magnetic field component varying along the sheet these waves and instability are related to existence of two gradients of the tangential and normal magnetic field components along the normal and tangential directions with respect to the current sheet the current sheet can be stable or unstable if the multiplication of two magnetic gradients is positive or negative in the stable region the kinklike wave mode is interpreted as so called flapping waves observed in the earths magnetotail current sheet the kink wave group velocity estimated for the earths current sheet is of the order of a few tens kilometers per second this is in good agreement with the observations of the flapping motions of the magnetotail current sheet | [['a', 'new', 'kind', 'of', 'magnetohydrodynamic', 'instability', 'and', 'waves', 'are', 'analyzed', 'for', 'a', 'current', 'sheet', 'in', 'the', 'presence', 'of', 'a', 'small', 'normal', 'magnetic', 'field', 'component', 'varying', 'along', 'the', 'sheet', 'these', 'waves', 'and', 'instability', 'are', 'related', 'to', 'existence', 'of', 'two', 'gradients', 'of', 'the', 'tangential', 'and', 'normal', 'magnetic', 'field', 'components', 'along', 'the', 'normal', 'and', 'tangential', 'directions', 'with', 'respect', 'to', 'the', 'current', 'sheet', 'the', 'current', 'sheet', 'can', 'be', 'stable', 'or', 'unstable', 'if', 'the', 'multiplication', 'of', 'two', 'magnetic', 'gradients', 'is', 'positive', 'or', 'negative', 'in', 'the', 'stable', 'region', 'the', 'kinklike', 'wave', 'mode', 'is', 'interpreted', 'as', 'so', 'called', 'flapping', 'waves', 'observed', 'in', 'the', 'earths', 'magnetotail', 'current', 'sheet', 'the', 'kink', 'wave', 'group', 'velocity', 'estimated', 'for', 'the', 'earths', 'current', 'sheet', 'is', 'of', 'the', 'order', 'of', 'a', 'few', 'tens', 'kilometers', 'per', 'second', 'this', 'is', 'in', 'good', 'agreement', 'with', 'the', 'observations', 'of', 'the', 'flapping', 'motions', 'of', 'the', 'magnetotail', 'current', 'sheet']] | [-0.23751388789027286, 0.20985319206270006, 0.014430234000998006, 0.03275172581155818, -0.08869928295100979, -0.02769734749985899, -0.033785603382698384, 0.3561655880427725, -0.2885249634440854, -0.2662316344585437, 0.11148708243016824, -0.2616429840659064, -0.09845663889532359, 0.20789109200922598, 0.01115992354884871, 0.001321854890598882, 0.04122152640450773, 0.0536675950840598, -0.020538040959416963, -0.1496799794970442, 0.28090372223996646, 0.042414901811602734, 0.28203509125536935, -0.0064317500888765285, 0.07626556150159604, -0.11122217021627928, 0.02826306043634955, 0.07936466537523183, -0.11105719643327569, 0.08212849321245826, 0.15646865733450266, 0.01441732337765342, 0.23649728881101384, -0.5089210938769493, -0.21025028403365997, -0.0014499129003865256, 0.1563622038057677, 0.08711799381890421, -0.03232814325794423, -0.268288644600204, 0.08880518763677867, -0.11698331524075258, -0.1982266367547107, 0.004955243312572833, 0.038994526259622894, 0.062107695829418066, -0.2564414760915281, 0.1344360476192221, 0.03904288126953053, 0.0655531299923607, -0.1234360721419572, -0.0870234559042205, -0.09170425845068886, 0.05990261652526988, 0.147186299471064, 0.10536700617371247, 0.18547414904108553, -0.171513285519716, -0.06968915899344486, 0.3640671764574141, -0.11626932273950535, -0.18211938990883048, 0.1692604046405407, -0.23702935434261457, -0.023385014699892605, 0.19972966854266233, 0.144682354514869, 0.08867877508721335, -0.06647805803247707, 0.0018476335576353528, -0.027972852599952813, 0.07351865571514844, 0.13195829638849488, -0.07059960690769408, 0.32143784593120756, 0.15716322974415778, 0.10692411693094236, 0.08663736952120345, -0.17883463158345908, -0.05304563828750694, -0.31697288959575215, -0.1721106108358438, -0.11317823440395128, -0.0041143478310194615, -0.0600646537642343, -0.23566873138435454, 0.4569898215692035, 0.12974599071798457, 0.184687867626655, -0.038259247704844575, 0.31248163340090634, 0.1364946124611235, 0.05793566010195574, 0.09124639844052869, 0.31480019585155755, 0.18802136868881664, 0.1280939595894419, -0.19662861800237505, 0.0783817264378714, -0.0009350728062685016] |
707.0936 | Quantum Pattern Recognition of Classical Signal | It's the key research topic of signal processing that recognizing genuine
targets real time from the disturbed signal which has giant amount of data. A
quantum algorithm for pattern recognition of classical signal which has time
complexity O(sqrt(N)) is presented in this paper.
Key Words: Pattern recognition, Grover's algorithm, Rotation on subspace
| quant-ph | its the key research topic of signal processing that recognizing genuine targets real time from the disturbed signal which has giant amount of data a quantum algorithm for pattern recognition of classical signal which has time complexity osqrtn is presented in this paper key words pattern recognition grovers algorithm rotation on subspace | [['its', 'the', 'key', 'research', 'topic', 'of', 'signal', 'processing', 'that', 'recognizing', 'genuine', 'targets', 'real', 'time', 'from', 'the', 'disturbed', 'signal', 'which', 'has', 'giant', 'amount', 'of', 'data', 'a', 'quantum', 'algorithm', 'for', 'pattern', 'recognition', 'of', 'classical', 'signal', 'which', 'has', 'time', 'complexity', 'osqrtn', 'is', 'presented', 'in', 'this', 'paper', 'key', 'words', 'pattern', 'recognition', 'grovers', 'algorithm', 'rotation', 'on', 'subspace']] | [-0.13205360431367388, 0.05594682016481574, -0.11032424379999821, -0.006484842465187495, -0.0914402802546437, -0.1595371061971841, 0.033707268587582245, 0.3720776099138535, -0.29885091002170855, -0.34019600495230407, 0.10030260452857384, -0.23976820463744494, -0.21003016960234022, 0.23400040811863548, -0.11545285118672137, 0.1175578027737524, 0.11905914545059204, 0.12120090439342536, 0.007740648933507215, -0.3118347509835775, 0.22723656459353292, 0.07535305648567513, 0.30745022276935813, -0.04682537096624191, 0.10382660351416025, -0.026549942092970014, -0.05130292319406111, -0.10385548189067496, -0.03243410796032829, 0.08141041568552072, 0.33813471497538, 0.2805516392780611, 0.2670466542387238, -0.37058466526930434, -0.17983101731022963, 0.17183328619620836, 0.18933962967891532, 0.14719862814616555, -0.14588067576047392, -0.3530074096141526, 0.06481653071331003, -0.07684436595389763, -0.005333657967499816, -0.02958059832095527, 0.12531292830737165, -0.08365908119146927, -0.20351776463380353, 0.07066382837589257, 0.15061506650482231, 0.11617941984262031, 0.03189680019456249, -0.08280049380846322, 0.1099361818498717, 0.15658755488514614, 0.03714629289103099, 0.10276295793189022, 0.15381132487136012, -0.12037323226776117, -0.18944885298753014, 0.4170975422200102, -0.027964066785688583, -0.13451526679385167, 0.1597175438924191, -0.11359352104885218, -0.19816506151647234, 0.17248914462442583, 0.2537967562317275, 0.06513542667604409, -0.14158044981125456, 0.07359475626659472, -0.09154693262938124, 0.24338629197042722, 0.06913346477533476, 0.07349205179175791, 0.16214703138058, 0.20683080359147146, 0.08559323783713178, 0.1286961767518033, -0.1534128002716058, -0.09042735276027368, -0.19229951848347598, -0.13824444966247448, -0.2766279172546302, -0.038021953185447134, -0.12994037886472562, -0.13348091911309615, 0.43431905664217013, 0.15951586481018099, 0.13762901563985416, 0.0399590186156834, 0.38932262919843197, 0.08982949589307491, 0.0933133133669169, 0.07600080749342361, 0.13129595414144346, 0.10054403430638978, 0.12819952013579985, -0.2468832496490974, 0.14249401835975453, 0.06209425339833475] |
707.0937 | VLT observations of the Central Compact Object in the Vela Jr. supernova
remnant | X-ray observations have unveiled the existence of enigmatic point-like
sources at the center of young (a few kyrs) supernova remnants. These sources,
known as Central Compact Objects (CCOs), are thought to be neutron stars
produced by the supernova explosion, although their X-ray phenomenology makes
them markedly different from all the other young neutron stars discovered so
far.The aim of this work is to search for the optical/IR counterpart of the
Vela Junior CCO and to understand the nature of the associated Halpha nebula
discovered by Pellizzoni et al. (2002).}{We have used deep optical (R band) and
IR (J,H,Ks bands) observations recently performed by our group with the ESO VLT
to obtain the first deep, high resolution images of the field with the goal of
resolving the nebula structure and pinpointing a point-like source possibly
associated with the neutron star.Our R-band image shows that both the nebula's
flux and its structure are very similar to the Halpha ones, suggesting that the
nebula spectrum is dominated by pure Halpha line emission. However, the nebula
is not detected in our IR observations, whick makes it impossible to to
constrain its spectrum. A faint point-like object (J>22.6, H~21.6, Ks ~ 21.4)
compatible with the neutron star's Chandra X-ray position is detected in our IR
images (H and Ks) but not in the optical one (R > 25.6), where it is buried by
the nebula background. The nebula is most likely a bow-shock produced by the
neutron star motion through the ISM or, alternatively, a photo-ionization
nebula powered by UV radiation from a hot neutron star.
| astro-ph | xray observations have unveiled the existence of enigmatic pointlike sources at the center of young a few kyrs supernova remnants these sources known as central compact objects ccos are thought to be neutron stars produced by the supernova explosion although their xray phenomenology makes them markedly different from all the other young neutron stars discovered so farthe aim of this work is to search for the opticalir counterpart of the vela junior cco and to understand the nature of the associated halpha nebula discovered by pellizzoni et al 2002we have used deep optical r band and ir jhks bands observations recently performed by our group with the eso vlt to obtain the first deep high resolution images of the field with the goal of resolving the nebula structure and pinpointing a pointlike source possibly associated with the neutron starour rband image shows that both the nebulas flux and its structure are very similar to the halpha ones suggesting that the nebula spectrum is dominated by pure halpha line emission however the nebula is not detected in our ir observations whick makes it impossible to to constrain its spectrum a faint pointlike object j226 h216 ks 214 compatible with the neutron stars chandra xray position is detected in our ir images h and ks but not in the optical one r 256 where it is buried by the nebula background the nebula is most likely a bowshock produced by the neutron star motion through the ism or alternatively a photoionization nebula powered by uv radiation from a hot neutron star | [['xray', 'observations', 'have', 'unveiled', 'the', 'existence', 'of', 'enigmatic', 'pointlike', 'sources', 'at', 'the', 'center', 'of', 'young', 'a', 'few', 'kyrs', 'supernova', 'remnants', 'these', 'sources', 'known', 'as', 'central', 'compact', 'objects', 'ccos', 'are', 'thought', 'to', 'be', 'neutron', 'stars', 'produced', 'by', 'the', 'supernova', 'explosion', 'although', 'their', 'xray', 'phenomenology', 'makes', 'them', 'markedly', 'different', 'from', 'all', 'the', 'other', 'young', 'neutron', 'stars', 'discovered', 'so', 'farthe', 'aim', 'of', 'this', 'work', 'is', 'to', 'search', 'for', 'the', 'opticalir', 'counterpart', 'of', 'the', 'vela', 'junior', 'cco', 'and', 'to', 'understand', 'the', 'nature', 'of', 'the', 'associated', 'halpha', 'nebula', 'discovered', 'by', 'pellizzoni', 'et', 'al', '2002we', 'have', 'used', 'deep', 'optical', 'r', 'band', 'and', 'ir', 'jhks', 'bands', 'observations', 'recently', 'performed', 'by', 'our', 'group', 'with', 'the', 'eso', 'vlt', 'to', 'obtain', 'the', 'first', 'deep', 'high', 'resolution', 'images', 'of', 'the', 'field', 'with', 'the', 'goal', 'of', 'resolving', 'the', 'nebula', 'structure', 'and', 'pinpointing', 'a', 'pointlike', 'source', 'possibly', 'associated', 'with', 'the', 'neutron', 'starour', 'rband', 'image', 'shows', 'that', 'both', 'the', 'nebulas', 'flux', 'and', 'its', 'structure', 'are', 'very', 'similar', 'to', 'the', 'halpha', 'ones', 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707.0938 | Scaling Symmetries of Scatterers of Classical Zero-Point Radiation | Classical radiation equilibrium (the blackbody problem) is investigated by
the use of an analogy. Scaling symmetries are noted for systems of classical
charged particles moving in circular orbits in central potentials V(r)=-k/r^n
when the particles are held in uniform circular motion against radiative
collapse by a circularly polarized incident plane wave. Only in the case of a
Coulomb potential n=1 with fixed charge e is there a unique scale-invariant
spectrum of radiation versus frequency (analogous to zero-point radiation)
obtained from the stable scattering arrangement. These results suggest that
non-electromagnetic potentials are not appropriate for discussions of classical
radiation equilibrium.
| physics.class-ph physics.gen-ph | classical radiation equilibrium the blackbody problem is investigated by the use of an analogy scaling symmetries are noted for systems of classical charged particles moving in circular orbits in central potentials vrkrn when the particles are held in uniform circular motion against radiative collapse by a circularly polarized incident plane wave only in the case of a coulomb potential n1 with fixed charge e is there a unique scaleinvariant spectrum of radiation versus frequency analogous to zeropoint radiation obtained from the stable scattering arrangement these results suggest that nonelectromagnetic potentials are not appropriate for discussions of classical radiation equilibrium | [['classical', 'radiation', 'equilibrium', 'the', 'blackbody', 'problem', 'is', 'investigated', 'by', 'the', 'use', 'of', 'an', 'analogy', 'scaling', 'symmetries', 'are', 'noted', 'for', 'systems', 'of', 'classical', 'charged', 'particles', 'moving', 'in', 'circular', 'orbits', 'in', 'central', 'potentials', 'vrkrn', 'when', 'the', 'particles', 'are', 'held', 'in', 'uniform', 'circular', 'motion', 'against', 'radiative', 'collapse', 'by', 'a', 'circularly', 'polarized', 'incident', 'plane', 'wave', 'only', 'in', 'the', 'case', 'of', 'a', 'coulomb', 'potential', 'n1', 'with', 'fixed', 'charge', 'e', 'is', 'there', 'a', 'unique', 'scaleinvariant', 'spectrum', 'of', 'radiation', 'versus', 'frequency', 'analogous', 'to', 'zeropoint', 'radiation', 'obtained', 'from', 'the', 'stable', 'scattering', 'arrangement', 'these', 'results', 'suggest', 'that', 'nonelectromagnetic', 'potentials', 'are', 'not', 'appropriate', 'for', 'discussions', 'of', 'classical', 'radiation', 'equilibrium']] | [-0.14482878469529428, 0.21457229022602478, -0.08638728526896056, 0.07700984182111843, -0.011308441568185024, -0.15112201328750471, -0.010392725946707176, 0.38118546376270906, -0.23373374596181118, -0.2618237187948116, 0.007664495564127645, -0.326200875814776, -0.0625041253693706, 0.18449933710983213, -0.0008105299273999978, 0.050579569920213244, 0.020977973840579544, 0.02228936025212348, -0.0029039992499450334, -0.15021443718626182, 0.3288976527579433, 0.07314697929125812, 0.24043240837220634, 0.009297314651158392, 0.02846039863474363, 0.06793944340446317, 0.003272468965424567, 0.04117314593524349, -0.10367326095395268, 0.04121352654135767, 0.19123128873690468, 0.024064122114748676, 0.18401154610613474, -0.4273219120745756, -0.24366980582494668, 0.11217123270272372, 0.1264239451491597, 0.12920681172886825, -0.1262667004152068, -0.24148764658709798, 0.022629304500938183, -0.13098972568488015, -0.22653959292386258, -0.00671352791523903, 0.08783381447500112, 0.06131560148253125, -0.25121534019423536, 0.08886100164595612, 0.08514890668210479, 0.04155385278507459, -0.12008247589122276, -0.08124312567904744, -0.05895920841935642, 0.053148874042767136, 0.05723406820158873, 0.033935594511733926, 0.18946626472609993, -0.1337437108966845, -0.11896291149694625, 0.4353271027722833, -0.06547318765304375, -0.18888049514736144, 0.1681394368619183, -0.19475618108859932, -0.047941604258530605, 0.20960244203784636, 0.1046036066468425, 0.142725336536461, -0.13471084475064085, 0.11276448559852278, -0.02055284078663562, 0.12021155388460361, 0.15322854321887147, -0.0044057550840079784, 0.3143106314486691, 0.06437728198349704, 0.04176250438452983, 0.13875798201806158, -0.04704165881575675, -0.13083104574720242, -0.30510752237572963, -0.06295460230214711, -0.1732588746663354, 0.084987910571912, -0.062314319775952975, -0.15281175088840632, 0.300570250350129, 0.10154732498779837, 0.12402440406790725, -0.007820435659484747, 0.29320577733522774, 0.13385620578999954, 0.003522447899592166, 0.07767302068235467, 0.34299281915431196, 0.1536939735904488, 0.08938428181774762, -0.23120628855409747, -0.06450260948978973, 0.022669592610921482] |
707.0939 | The intrinsic torsion of almost quaternion-Hermitian manifolds | We study the intrinsic torsion of almost quaternion-Hermitian manifolds via
the exterior algebra. In particular, we show how it is determined by particular
three-forms formed from simple combinations of the exterior derivatives of the
local Kaehler forms. This gives a practical method to compute the intrinsic
torsion and is applied in a number of examples. In addition we find simple
characterisations of HKT and QKT geometries entirely in the exterior algebra
and compute how the intrinsic torsion changes under a twist construction.
| math.DG | we study the intrinsic torsion of almost quaternionhermitian manifolds via the exterior algebra in particular we show how it is determined by particular threeforms formed from simple combinations of the exterior derivatives of the local kaehler forms this gives a practical method to compute the intrinsic torsion and is applied in a number of examples in addition we find simple characterisations of hkt and qkt geometries entirely in the exterior algebra and compute how the intrinsic torsion changes under a twist construction | [['we', 'study', 'the', 'intrinsic', 'torsion', 'of', 'almost', 'quaternionhermitian', 'manifolds', 'via', 'the', 'exterior', 'algebra', 'in', 'particular', 'we', 'show', 'how', 'it', 'is', 'determined', 'by', 'particular', 'threeforms', 'formed', 'from', 'simple', 'combinations', 'of', 'the', 'exterior', 'derivatives', 'of', 'the', 'local', 'kaehler', 'forms', 'this', 'gives', 'a', 'practical', 'method', 'to', 'compute', 'the', 'intrinsic', 'torsion', 'and', 'is', 'applied', 'in', 'a', 'number', 'of', 'examples', 'in', 'addition', 'we', 'find', 'simple', 'characterisations', 'of', 'hkt', 'and', 'qkt', 'geometries', 'entirely', 'in', 'the', 'exterior', 'algebra', 'and', 'compute', 'how', 'the', 'intrinsic', 'torsion', 'changes', 'under', 'a', 'twist', 'construction']] | [-0.1822213950998536, 0.05868901423655632, -0.08238761081564717, 0.07598892332014923, -0.12897709373202992, -0.07734836293270857, -0.04553892991289769, 0.35806651981320325, -0.28823243942475174, -0.27184197783651876, 0.09299639513625241, -0.1948915703631029, -0.22943508581871666, 0.17846214131270421, -0.10694625000834959, -0.0678563048018188, 0.01487826862622325, 0.07915355461059002, -0.14043648542109421, -0.24252116350775085, 0.40702754908763783, 0.0034637103629548377, 0.22903231024549048, 0.05245678277513035, 0.1463846069414214, -0.02018997534859653, -0.024819185491651297, 0.031695033804081924, -0.1800764271898604, 0.15542872127356, 0.2233509788766685, 0.03917399642807318, 0.14790194863226355, -0.414928895983527, -0.1282111065644663, 0.12583488129965234, 0.10358938470301104, 0.08713925578745037, -0.04727324431410014, -0.2261345240446489, 0.08117541523150555, -0.1721328360414723, -0.1759054854387281, -0.11454541457635237, 0.031013055230354573, -0.02055729904336991, -0.21593635910894812, 0.03623789289068976, 0.08213584324367708, 0.05762235510231155, -0.11079767810907669, -0.05207586337573736, -0.07063527989042241, 0.08832620273957528, 0.03496457229754547, -0.0167128119884604, 0.12545682373456657, -0.0910423324051563, -0.10289471042228908, 0.35368704820824104, -0.0705314454304554, -0.2917946887343821, 0.12425758080875002, -0.1607543865457268, -0.13203827927184358, 0.0992169085572042, 0.13311717100441456, 0.16758931848424963, -0.07949094802124153, 0.20750648173199762, -0.04407710200402795, 0.07101462542919851, 0.12598288285250708, -0.013547635092059286, 0.16887175768227658, 0.07928365257727664, 0.05945654010695473, 0.20586892030565296, -0.0052424964563148775, -0.06691003348905503, -0.3721186122516306, -0.17548597853087036, -0.11955262940354282, 0.1356587945256473, -0.12203692786183305, -0.19226456356302993, 0.4173659806753077, 0.09274994936294673, 0.19460474261332575, 0.038123970998950846, 0.26442309226358035, 0.07470897114949256, 0.08925228262683604, 0.07128305309565693, 0.23050618675968995, 0.21563324460861977, 0.017365688617091354, -0.18671948510710512, -0.020790562141550388, 0.09738498126588217] |
707.094 | Sobolev regularity of solutions of the cohomological equation | We refine the theory of the cohomological equation for translation flows on
higher genus surfaces with the goal of proving optimal results on the Sobolev
regularity of solutions and of distributional obstructions. For typical
translation surfaces our results are sharp and we find the expected relation
between the regularity of the distributional obstructions and the Lyapunov
exponents of the Kontsevich-Zorich renormalization cocycle. As a consequence we
exactly determine the dimension of the space of obstructions in each Sobolev
regularity class in terms of the Kontsevich-Zorich exponents. For a fixed
arbitrary translation surface and a typical direction, our results are probably
not optimal but are the best which can be achieved with the available harmonic
analysis techniques we have introduced in an earlier paper.
| math.DS math.AP | we refine the theory of the cohomological equation for translation flows on higher genus surfaces with the goal of proving optimal results on the sobolev regularity of solutions and of distributional obstructions for typical translation surfaces our results are sharp and we find the expected relation between the regularity of the distributional obstructions and the lyapunov exponents of the kontsevichzorich renormalization cocycle as a consequence we exactly determine the dimension of the space of obstructions in each sobolev regularity class in terms of the kontsevichzorich exponents for a fixed arbitrary translation surface and a typical direction our results are probably not optimal but are the best which can be achieved with the available harmonic analysis techniques we have introduced in an earlier paper | [['we', 'refine', 'the', 'theory', 'of', 'the', 'cohomological', 'equation', 'for', 'translation', 'flows', 'on', 'higher', 'genus', 'surfaces', 'with', 'the', 'goal', 'of', 'proving', 'optimal', 'results', 'on', 'the', 'sobolev', 'regularity', 'of', 'solutions', 'and', 'of', 'distributional', 'obstructions', 'for', 'typical', 'translation', 'surfaces', 'our', 'results', 'are', 'sharp', 'and', 'we', 'find', 'the', 'expected', 'relation', 'between', 'the', 'regularity', 'of', 'the', 'distributional', 'obstructions', 'and', 'the', 'lyapunov', 'exponents', 'of', 'the', 'kontsevichzorich', 'renormalization', 'cocycle', 'as', 'a', 'consequence', 'we', 'exactly', 'determine', 'the', 'dimension', 'of', 'the', 'space', 'of', 'obstructions', 'in', 'each', 'sobolev', 'regularity', 'class', 'in', 'terms', 'of', 'the', 'kontsevichzorich', 'exponents', 'for', 'a', 'fixed', 'arbitrary', 'translation', 'surface', 'and', 'a', 'typical', 'direction', 'our', 'results', 'are', 'probably', 'not', 'optimal', 'but', 'are', 'the', 'best', 'which', 'can', 'be', 'achieved', 'with', 'the', 'available', 'harmonic', 'analysis', 'techniques', 'we', 'have', 'introduced', 'in', 'an', 'earlier', 'paper']] | [-0.14119882297482553, 0.07596380045607674, -0.10155825148813608, 0.09423184865797923, -0.0632810212607397, -0.10648599050833078, 0.019234613651727756, 0.33106435624299557, -0.2886324910431858, -0.2558469663760284, 0.12588604008002827, -0.2694250738581385, -0.16898603416313002, 0.24963694620059756, -0.11834432601898424, 0.12869046106783114, 0.03647875426359838, 0.052721873160481936, -0.11639201694463448, -0.2787641068935637, 0.40137439310490114, -0.020995598717978816, 0.2525862057322288, 0.08719086846170145, 0.07948634365376661, -0.05244430173491317, -0.023987890849631977, -0.002563714106781105, -0.2299176711452807, 0.17507674661275696, 0.24757439727947964, 0.03996245906218826, 0.22361390385776758, -0.35629938988060483, -0.20226769550605034, 0.11550785803682799, 0.12853011889742855, 0.09497578927917724, -0.010564785074003465, -0.29421057947343443, 0.1312848410523701, -0.09495993843680717, -0.17356811611481557, -0.10425083234724475, -0.0192671380615301, 0.062239789562981304, -0.24845939260534564, 0.056128642294646765, 0.1289022861699748, 0.12698746603209435, -0.13416099301690795, -0.07583359337972129, -0.05641950595351618, 0.14257339982418116, 0.09179030698004777, 0.05132243403032937, 0.06047352903893566, -0.12381742215844069, -0.12961037758344074, 0.3471587799845369, -0.07905566327678933, -0.2641727829681391, 0.18297219904124495, -0.1561554138192801, -0.15824139087907668, 0.0996809530912376, 0.13584971327592082, 0.14789083045793744, -0.06911096706744133, 0.12900336957309486, -0.06121208960175272, 0.12941260866033352, 0.09573168784183095, 0.026173727742085855, 0.08960086833004181, 0.0870063041291404, 0.13702587930417462, 0.12221382124958999, -0.036008868279405, -0.06162176264555958, -0.35706896232668217, -0.1852463664471861, -0.1481533677400491, 0.06236745072521621, -0.163665185969728, -0.15884937214233527, 0.40773862303893377, 0.12174675035540287, 0.18255149652590838, 0.14802106245841104, 0.21968659804944646, 0.13565288050331145, 0.04289256543587378, 0.11819945858806614, 0.23238693983805161, 0.11949085313978235, 0.0648764293277409, -0.16278548307652488, 0.05083684719023787, 0.1811116437609421] |
707.0941 | Effect of surfaces and interfaces on the electronic, magnetic and
gap-related properties of the half-metal Co$_2$MnSn | We present state-of-the-art electronic structure calculations for the
Co$_2$MnSn full-Heusler alloy. We show that in its bulk form it is a
half-metallic ferromagnet with the Fermi level being located within a tiny gap
of the minority-spin density of states. Moreover the alloy shows the
Slater-Pauling behavior with a total spin magnetic moment in the unit cell of 5
$\mu_B$. In the case of the (001) surfaces, the broken bonds at the surface
form a minority band pinned exactly at the Fermi level destroying the
half-metallicity. Our calculations reveal that both the interfaces with the
non-magnetic metal V and the semiconductor InAs are no more half-metallic due
to the different environment of the atoms of the half-metal at the interface.
These interface states although localized only at the first few interface
layers can become conducting when coupled to defect states and kill the
spin-polarization of the current injected from the half-metal into the
semiconductor or the non-magnetic metallic spacer.
| cond-mat.mtrl-sci | we present stateoftheart electronic structure calculations for the co_2mnsn fullheusler alloy we show that in its bulk form it is a halfmetallic ferromagnet with the fermi level being located within a tiny gap of the minorityspin density of states moreover the alloy shows the slaterpauling behavior with a total spin magnetic moment in the unit cell of 5 mu_b in the case of the 001 surfaces the broken bonds at the surface form a minority band pinned exactly at the fermi level destroying the halfmetallicity our calculations reveal that both the interfaces with the nonmagnetic metal v and the semiconductor inas are no more halfmetallic due to the different environment of the atoms of the halfmetal at the interface these interface states although localized only at the first few interface layers can become conducting when coupled to defect states and kill the spinpolarization of the current injected from the halfmetal into the semiconductor or the nonmagnetic metallic spacer | [['we', 'present', 'stateoftheart', 'electronic', 'structure', 'calculations', 'for', 'the', 'co_2mnsn', 'fullheusler', 'alloy', 'we', 'show', 'that', 'in', 'its', 'bulk', 'form', 'it', 'is', 'a', 'halfmetallic', 'ferromagnet', 'with', 'the', 'fermi', 'level', 'being', 'located', 'within', 'a', 'tiny', 'gap', 'of', 'the', 'minorityspin', 'density', 'of', 'states', 'moreover', 'the', 'alloy', 'shows', 'the', 'slaterpauling', 'behavior', 'with', 'a', 'total', 'spin', 'magnetic', 'moment', 'in', 'the', 'unit', 'cell', 'of', '5', 'mu_b', 'in', 'the', 'case', 'of', 'the', '001', 'surfaces', 'the', 'broken', 'bonds', 'at', 'the', 'surface', 'form', 'a', 'minority', 'band', 'pinned', 'exactly', 'at', 'the', 'fermi', 'level', 'destroying', 'the', 'halfmetallicity', 'our', 'calculations', 'reveal', 'that', 'both', 'the', 'interfaces', 'with', 'the', 'nonmagnetic', 'metal', 'v', 'and', 'the', 'semiconductor', 'inas', 'are', 'no', 'more', 'halfmetallic', 'due', 'to', 'the', 'different', 'environment', 'of', 'the', 'atoms', 'of', 'the', 'halfmetal', 'at', 'the', 'interface', 'these', 'interface', 'states', 'although', 'localized', 'only', 'at', 'the', 'first', 'few', 'interface', 'layers', 'can', 'become', 'conducting', 'when', 'coupled', 'to', 'defect', 'states', 'and', 'kill', 'the', 'spinpolarization', 'of', 'the', 'current', 'injected', 'from', 'the', 'halfmetal', 'into', 'the', 'semiconductor', 'or', 'the', 'nonmagnetic', 'metallic', 'spacer']] | [-0.1648829883568072, 0.1878019053923488, -0.002990129151660356, 0.028695469111156693, 0.021138829373380845, -0.1634608734618564, 0.11545391744455014, 0.3915766031083882, -0.2769177157348793, -0.3049851851478504, -0.01725876113551129, -0.36528827505079425, -0.07439714143420481, 0.13056576433650866, 0.08178396564967645, -0.033594971045673376, 0.007193236367459628, -0.028750337409686036, -0.12857709366199413, -0.21551565856725285, 0.2979701446550216, -0.0007061526063639837, 0.30453623418850456, 0.11028987520439609, 0.006872527481495717, -0.02564949217507509, 0.21037399923024036, 0.014345326010066613, -0.08896145754047761, 0.09313251267693, 0.2541696957852336, -0.15738291416768055, 0.21459461174531586, -0.5139722584444246, -0.1511380892642922, -0.04252603713861981, 0.09242135325630617, 0.14640006631802602, -0.08459562823003244, -0.30122665084370526, 0.09792854052903072, -0.12884490049123812, -0.11370787385904532, -0.01812897691618841, -0.04976661305186475, -0.021034218654167026, -0.18966904451817002, 0.08541282519674415, 0.07241966880140173, 0.0587114897625377, -0.1130192258171322, -0.1510589577400001, -0.16907099835948342, 0.07875051345638368, 0.03745527192801949, 0.05324380335903721, 0.18310997156414446, -0.122799869941156, -0.04990170715127591, 0.37592028294968755, -0.05281952343685375, -0.10805177139296274, 0.17297964220700465, -0.23357613159604607, -0.05440923643363699, 0.1733259689581883, 0.09198735341682561, 0.08449501323418775, -0.11107379701153515, 0.09173774046476361, -0.00012079387040108822, 0.19148815329228142, 0.025701491151799916, 0.048511036343214096, 0.27873729677740366, 0.21304466885182366, 0.06528985135518252, 0.132534387361282, -0.160316180939798, -0.03278970521145091, -0.23079447690278862, -0.22970768286710141, -0.2522687025139832, 0.05505612147755099, -0.05514119222599295, -0.23062804340426424, 0.41913194621314004, 0.10987757535793694, 0.15969416991789726, -0.03872735322909845, 0.23396106186518623, 0.09293897315684801, 0.1053590074620524, 0.08489624454764425, 0.2411997474041904, 0.14740184240508825, 0.09019241361600008, -0.25333495087369945, 0.13067109763746856, -0.04012151826973886] |
707.0942 | Metric gravity theories and cosmology:II. Stability of a ground state in
f(R) theories | A fundamental criterion of viability of any gravity theory is existence of a
stable ground-state solution being either Minkowski, dS or AdS space. Stability
of the ground state is independent of which frame is physical. In general, a
given theory has multiple ground states and splits into independent physical
sectors. All metric gravity theories with the Lagrangian being a function of
Ricci tensor are dynamically equivalent to Einstein gravity with a source and
this allows us to study the stability problem using methods developed in GR. We
apply these methods to f(R) theories. As is shown in 13 cases of Lagrangians
the stability criterion works simply and effectively whenever the curvature of
the ground state is determined. An infinite number of gravity theories have a
stable ground state and further viability criteria are necessary.
| gr-qc | a fundamental criterion of viability of any gravity theory is existence of a stable groundstate solution being either minkowski ds or ads space stability of the ground state is independent of which frame is physical in general a given theory has multiple ground states and splits into independent physical sectors all metric gravity theories with the lagrangian being a function of ricci tensor are dynamically equivalent to einstein gravity with a source and this allows us to study the stability problem using methods developed in gr we apply these methods to fr theories as is shown in 13 cases of lagrangians the stability criterion works simply and effectively whenever the curvature of the ground state is determined an infinite number of gravity theories have a stable ground state and further viability criteria are necessary | [['a', 'fundamental', 'criterion', 'of', 'viability', 'of', 'any', 'gravity', 'theory', 'is', 'existence', 'of', 'a', 'stable', 'groundstate', 'solution', 'being', 'either', 'minkowski', 'ds', 'or', 'ads', 'space', 'stability', 'of', 'the', 'ground', 'state', 'is', 'independent', 'of', 'which', 'frame', 'is', 'physical', 'in', 'general', 'a', 'given', 'theory', 'has', 'multiple', 'ground', 'states', 'and', 'splits', 'into', 'independent', 'physical', 'sectors', 'all', 'metric', 'gravity', 'theories', 'with', 'the', 'lagrangian', 'being', 'a', 'function', 'of', 'ricci', 'tensor', 'are', 'dynamically', 'equivalent', 'to', 'einstein', 'gravity', 'with', 'a', 'source', 'and', 'this', 'allows', 'us', 'to', 'study', 'the', 'stability', 'problem', 'using', 'methods', 'developed', 'in', 'gr', 'we', 'apply', 'these', 'methods', 'to', 'fr', 'theories', 'as', 'is', 'shown', 'in', '13', 'cases', 'of', 'lagrangians', 'the', 'stability', 'criterion', 'works', 'simply', 'and', 'effectively', 'whenever', 'the', 'curvature', 'of', 'the', 'ground', 'state', 'is', 'determined', 'an', 'infinite', 'number', 'of', 'gravity', 'theories', 'have', 'a', 'stable', 'ground', 'state', 'and', 'further', 'viability', 'criteria', 'are', 'necessary']] | [-0.16005184184394972, 0.12850461538749444, -0.13691211836681869, 0.07910130742534216, -0.0810545375535904, -0.16706688321932261, -0.0020880622601609175, 0.30837609848952785, -0.20061663377321146, -0.27180591728816283, 0.11966765410381494, -0.23603170383350192, -0.11561964232120107, 0.12306508712241176, -0.046855173330865245, 0.059465056055906546, 0.011702087308182868, 0.08799190341439377, -0.07744818692679392, -0.2609887518502994, 0.37472478068197396, 0.024013230452008212, 0.2727720290352938, 0.02974248219823548, 0.0955874274428126, -0.04038901785180084, 0.043976911116884884, 0.0806666958351343, -0.1453898067172589, 0.10153175420310251, 0.21939303884942973, 0.17289744681448924, 0.2640891748570851, -0.3851749714213743, -0.2517876910017942, 0.1214107623977114, 0.10382232943605353, 0.14752577158618968, 0.011579924009378944, -0.30880889902586367, 0.10264565639976245, -0.15512509249956974, -0.15390127619212396, -0.10573834825112526, 0.009452794636808225, -0.04769242262822201, -0.24604585891200312, 0.04913674281917012, 0.008416650014053752, 0.00500749007784831, -0.1557915727151801, -0.07322098856093362, -0.04825888160588359, 0.11216662945781848, 0.07950410608084066, 0.04747417181514815, 0.08308568122143399, -0.13154855957984535, -0.10415008115415364, 0.4060201183128268, -0.08721499717724857, -0.27406924752124984, 0.20427872212742693, -0.08713977500351507, -0.10664903776330957, 0.09203834113414719, 0.09454580198247124, 0.1729406880826425, -0.12237675930547125, 0.15087307755897905, -0.018060598897733794, 0.14767832796388208, 0.059870518271380395, 0.06320893143889245, 0.2526055868478742, 0.10864348927123556, 0.09754930359724936, 0.13649146215392471, -0.007602855743868138, -0.11508188470711571, -0.3536432468538249, -0.1792527469389363, -0.13407903430903498, 0.05598018606325417, -0.09327838957655493, -0.1757361623256575, 0.38426096281106237, 0.08763921194112123, 0.11710174682023657, 0.04071348076462555, 0.2598037800765527, 0.10023465148545106, 0.02199790851490936, 0.05500118916075843, 0.28076177531742114, 0.18303891664906058, 0.035471786001224574, -0.17976348981984072, -0.022303090447954376, 0.1189606510478058] |
707.0943 | On the nuclear reactions with participation of near-threshold baryon
resonances | The main features of nuclear reactions with participation of baryon
resonances ($\Delta$(1232), S(1535) and $\Lambda$(1405)), which are interpreted
as a manifestation of the bound states of nucleus and corresponding meson are
discussed.
| nucl-th | the main features of nuclear reactions with participation of baryon resonances delta1232 s1535 and lambda1405 which are interpreted as a manifestation of the bound states of nucleus and corresponding meson are discussed | [['the', 'main', 'features', 'of', 'nuclear', 'reactions', 'with', 'participation', 'of', 'baryon', 'resonances', 'delta1232', 's1535', 'and', 'lambda1405', 'which', 'are', 'interpreted', 'as', 'a', 'manifestation', 'of', 'the', 'bound', 'states', 'of', 'nucleus', 'and', 'corresponding', 'meson', 'are', 'discussed']] | [-0.07424664605529077, 0.24654356616684386, -0.09269451046542775, 0.17994551552880195, 0.009254414392935654, -0.07787422924452732, 0.05366752092396059, 0.23414260266168463, -0.15449272156242402, -0.2455757515685212, -0.041901373995407935, -0.34577238052001885, -0.08392747918203954, 0.06843461384696345, 0.11091804098818571, 0.03694031712028288, 0.021497416745630965, 0.12672799447130773, 0.045054026068218296, -0.12338380560639405, 0.4151671461520656, 0.03779393710917042, 0.12847987754691031, 0.21357420881888114, 0.010595485898515871, -0.03950995357046204, 0.005894855085399843, -0.10581257928823752, -0.06705988033284102, 0.1158493055056991, 0.3168571042197366, 0.12615794484173098, 0.12868699108460738, -0.3722621784094841, -0.11077955779769728, 0.07561222684659785, 0.2633474321675397, 0.16261652617850492, -0.043075390190126434, -0.38650054676878837, 0.038455895508729646, -0.18341577371522302, -0.1613947550856298, -0.1234428491142969, 0.02998329071147788, 0.06620867592432807, -0.27984382476537456, 0.11882318565321545, -0.007836865441453072, 0.097509462806967, -0.13904448616648873, -0.3190904315561056, -0.07654944536907057, 0.07059661315513714, 0.12592288046594588, 0.02747375286755062, 0.2493823518105332, -0.16027401522883483, -0.19963232998646074, 0.43438787283676283, 0.008790386059591848, -0.07888971082866192, 0.10617882956660563, -0.16512366516455526, -0.0946765030103345, 0.1553516228412909, 0.19762128872436382, 0.04926804729527043, -0.1296548828362457, 0.008003083564671538, -0.07039020144410672, 0.14889280146528636, 0.1016222758579158, 0.19658986551146354, 0.15551046834838006, 0.20362602666981758, -0.052849397363681945, 0.07878045674653784, -0.07767720475432373, -0.09669955979071317, -0.4227817176330474, -0.060539579283701433, -0.15691772331633874, 0.015851100966815027, -0.00504081500900699, -0.08387192425828788, 0.39353586877546004, -0.08981838344686455, 0.3127919100224972, -0.0766253732407706, 0.26121176695150716, 0.1292177197455819, 0.08334438298498431, 0.05560475230337151, 0.31069319713259896, 0.3362858464881297, 0.08175697201682676, -0.3367287068357391, 0.032701173707121806, 0.022384246443248084] |
707.0944 | The abundance of SiS in circumstellar envelopes around AGB stars | New SiS multi-transition (sub-)millimetre line observations of a sample of
AGB stars with varying photospheric C/O-ratios and mass-loss rates are
presented. A combination of low- and high-energy lines are important in
constraining the circumstellar distribution of SiS molecules. A detailed
radiative transfer modelling of the observed SiS line emission is performed,
including the effect of thermal dust grains in the excitation analysis. We find
that the circumstellar fractional abundance of SiS in these environments has a
strong dependence on the photospheric C/O-ratio as expected from chemical
models. The carbon stars (C/O>1) have a mean fractional abundance of 3.1E-6,
about an order of magnitude higher than found for the M-type AGB stars (C/O<1)
where the mean value is 2.7E-7. These numbers are in reasonable agreement with
photospheric LTE chemical models. SiS appears to behave similar to SiO in terms
of photodissociation in the outer part of the circumstellar envelope. In
contrast to previous results for the related molecule SiO, there is no strong
correlation of the fractional abundance with density in the CSE, as would be
the case if freeze-out onto dust grains were important. However, possible
time-variability of the line emission in the lower J transitions and the
sensitivity of the line emission to abundance gradients in the inner part of
the CSE may mask a correlation with the density of the wind. There are
indications that the SiS fractional abundance could be significantly higher
closer to the star which, at least in the case of M-type AGB stars, would
require non-equilibrium chemical processes.
| astro-ph | new sis multitransition submillimetre line observations of a sample of agb stars with varying photospheric coratios and massloss rates are presented a combination of low and highenergy lines are important in constraining the circumstellar distribution of sis molecules a detailed radiative transfer modelling of the observed sis line emission is performed including the effect of thermal dust grains in the excitation analysis we find that the circumstellar fractional abundance of sis in these environments has a strong dependence on the photospheric coratio as expected from chemical models the carbon stars co1 have a mean fractional abundance of 31e6 about an order of magnitude higher than found for the mtype agb stars co1 where the mean value is 27e7 these numbers are in reasonable agreement with photospheric lte chemical models sis appears to behave similar to sio in terms of photodissociation in the outer part of the circumstellar envelope in contrast to previous results for the related molecule sio there is no strong correlation of the fractional abundance with density in the cse as would be the case if freezeout onto dust grains were important however possible timevariability of the line emission in the lower j transitions and the sensitivity of the line emission to abundance gradients in the inner part of the cse may mask a correlation with the density of the wind there are indications that the sis fractional abundance could be significantly higher closer to the star which at least in the case of mtype agb stars would require nonequilibrium chemical processes | [['new', 'sis', 'multitransition', 'submillimetre', 'line', 'observations', 'of', 'a', 'sample', 'of', 'agb', 'stars', 'with', 'varying', 'photospheric', 'coratios', 'and', 'massloss', 'rates', 'are', 'presented', 'a', 'combination', 'of', 'low', 'and', 'highenergy', 'lines', 'are', 'important', 'in', 'constraining', 'the', 'circumstellar', 'distribution', 'of', 'sis', 'molecules', 'a', 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707.0945 | Capillary filling using Lattice Boltzmann Equations: the case of
multi-phase flows | We present a systematic study of capillary filling for multi-phase flows by
using mesoscopic lattice Boltzmann models describing a diffusive interface
moving at a given contact angle with respect to the walls. We compare the
numerical results at changing the density ratio between liquid and gas phases
and the ratio between the typical size of the capillary and the interface
width. It is shown that numerical results yield quantitative agreement with the
Washburn law when both ratios are large, i.e. as the hydrodynamic limit of a
infinitely thin interface is approached. We also show that in the initial stage
of the filling process, transient behaviour induced by inertial effects and
``vena contracta'' mechanisms, may induce significant departure from the
Washburn law. Both effects are under control in our lattice Boltzmann equation
and in good agreement with the phenomenology of capillary filling.
| nlin.CG | we present a systematic study of capillary filling for multiphase flows by using mesoscopic lattice boltzmann models describing a diffusive interface moving at a given contact angle with respect to the walls we compare the numerical results at changing the density ratio between liquid and gas phases and the ratio between the typical size of the capillary and the interface width it is shown that numerical results yield quantitative agreement with the washburn law when both ratios are large ie as the hydrodynamic limit of a infinitely thin interface is approached we also show that in the initial stage of the filling process transient behaviour induced by inertial effects and vena contracta mechanisms may induce significant departure from the washburn law both effects are under control in our lattice boltzmann equation and in good agreement with the phenomenology of capillary filling | [['we', 'present', 'a', 'systematic', 'study', 'of', 'capillary', 'filling', 'for', 'multiphase', 'flows', 'by', 'using', 'mesoscopic', 'lattice', 'boltzmann', 'models', 'describing', 'a', 'diffusive', 'interface', 'moving', 'at', 'a', 'given', 'contact', 'angle', 'with', 'respect', 'to', 'the', 'walls', 'we', 'compare', 'the', 'numerical', 'results', 'at', 'changing', 'the', 'density', 'ratio', 'between', 'liquid', 'and', 'gas', 'phases', 'and', 'the', 'ratio', 'between', 'the', 'typical', 'size', 'of', 'the', 'capillary', 'and', 'the', 'interface', 'width', 'it', 'is', 'shown', 'that', 'numerical', 'results', 'yield', 'quantitative', 'agreement', 'with', 'the', 'washburn', 'law', 'when', 'both', 'ratios', 'are', 'large', 'ie', 'as', 'the', 'hydrodynamic', 'limit', 'of', 'a', 'infinitely', 'thin', 'interface', 'is', 'approached', 'we', 'also', 'show', 'that', 'in', 'the', 'initial', 'stage', 'of', 'the', 'filling', 'process', 'transient', 'behaviour', 'induced', 'by', 'inertial', 'effects', 'and', 'vena', 'contracta', 'mechanisms', 'may', 'induce', 'significant', 'departure', 'from', 'the', 'washburn', 'law', 'both', 'effects', 'are', 'under', 'control', 'in', 'our', 'lattice', 'boltzmann', 'equation', 'and', 'in', 'good', 'agreement', 'with', 'the', 'phenomenology', 'of', 'capillary', 'filling']] | [-0.13417485872810336, 0.1746249823956519, -0.09632534532748321, 0.02692439885699227, 0.004857830841966132, -0.1385988029816472, 0.043646857894400586, 0.35706695378592884, -0.2577236216211467, -0.290094179517824, 0.05785280183297813, -0.28980815017939354, -0.1182568989139288, 0.1865142744153421, 0.01683460269536136, 0.05571594814512324, 0.05074690057110068, -0.06318486331968654, -0.07112853073495183, -0.14915619995973423, 0.29643923008702167, 0.06753078493428358, 0.29744362694059384, 0.10141521130964253, 0.0854865485069124, -0.0400763612194317, 0.006503303508862113, 0.1069120635602174, -0.2057188897339358, 0.029297505551618887, 0.20123651856837768, -0.05354981446731175, 0.20541535457926438, -0.4443130376649664, -0.20363542234115567, 0.020954902306965267, 0.11075982577472938, 0.11902014345445848, -0.059139165948871655, -0.24095544209934983, 0.06964349123840848, -0.15009162349936864, -0.14775614933843942, -0.01652861528877988, 0.020123657770454884, 0.07193421645908193, -0.2542906424863733, 0.13867408204770065, 0.033979406032103594, 0.05839566526507648, -0.0714741374980262, -0.0960061093990473, -0.02490629076607631, 0.12125269683504787, 0.07563300756964642, 0.008111939806794973, 0.14798959646149412, -0.18741475596548396, -0.052740901979413016, 0.41803354802970766, -0.09492028518315695, -0.1927778691661062, 0.22337372868374678, -0.1811980027524822, -0.04821595645027486, 0.17109938698378227, 0.1579021596884791, 0.05213829950837778, -0.09263441870073666, 0.03679977646733284, -0.05661500951007722, 0.17290092860051293, 0.058905320687893226, -0.03660078847490611, 0.2187522174129989, 0.19600815688431633, 0.012982992709660572, 0.15052591431109855, -0.09431642598096043, -0.14768205225428052, -0.3207295111096497, -0.12749093013703294, -0.14621094184108607, 0.035812136466042734, -0.1232794370754673, -0.15127513864212208, 0.31320636855530826, 0.12442053072418727, 0.21592073832103548, 0.07085649069425062, 0.2663129788579036, 0.11844503896390186, 0.013298055180183328, 0.07348849374226275, 0.25053370107999007, 0.11826563018526062, 0.11278990576721164, -0.2810096087987726, 0.08722845933248177, 0.05517181978521354] |
707.0946 | Open Charm Production in pp and Heavy Ion Collisions in QCD | The RHIC data on charm production are compared with the kT-factorization
approach predictions, both standard NLO QCD and FONLL. The calculated results
underestimate the STAR Collaboration data. The role of possible nuclear effects
is discussed.
| hep-ph | the rhic data on charm production are compared with the ktfactorization approach predictions both standard nlo qcd and fonll the calculated results underestimate the star collaboration data the role of possible nuclear effects is discussed | [['the', 'rhic', 'data', 'on', 'charm', 'production', 'are', 'compared', 'with', 'the', 'ktfactorization', 'approach', 'predictions', 'both', 'standard', 'nlo', 'qcd', 'and', 'fonll', 'the', 'calculated', 'results', 'underestimate', 'the', 'star', 'collaboration', 'data', 'the', 'role', 'of', 'possible', 'nuclear', 'effects', 'is', 'discussed']] | [0.02627578202768096, 0.1492477127616959, -0.14382887269769395, 0.2124326113644721, -0.041304309799202854, -0.034376719487564905, -0.010155422559806278, 0.3397693734083857, -0.11394038147159985, -0.23952139461679117, 0.013568585618798222, -0.4287365553368415, 0.08304970308340022, 0.15601854010352068, 0.08677153177559375, 0.1560946869397802, 0.2120753662660718, -0.018958617839962243, -0.058239115297328684, -0.26883480660617354, 0.32610058531032077, 0.13995022145765168, 0.28703363984823227, 0.25403064042329787, -0.02818956849431353, 0.021239606464015588, -0.16240734640741722, -0.042537375779024195, -0.14329582628394877, 0.07707801980099507, 0.2684997195644038, 0.07285924766079656, 0.10731127635974969, -0.39151959573583944, -0.13230399207345078, 0.04012609597827707, 0.06234582235504474, 0.11211813797375986, -0.0999546404296, -0.28323480763605663, 0.09204143583774567, -0.2873819433418768, -0.12005481980741024, -0.11929181848785707, -0.08918662433113371, -0.03449774065187999, -0.3250663047390325, 0.09434485672307866, -0.10228025355775441, 0.005354803381487727, -0.017013031038056528, -0.29054661647283603, -0.09253290402037757, 0.051410499374781336, 0.11688451282014804, 0.17044674694272025, 0.22159334059272492, -0.18953066275987243, -0.23814158511481115, 0.48692176810332705, -0.04101591520011425, -0.11017357451575142, 0.1094724357078251, -0.2102312505511301, -0.16225660263693759, 0.09115335643291474, 0.21151653936664974, 0.0555995843240193, -0.1979004796195243, 0.07510697282684435, 0.0218904829451016, 0.13616982001279082, 0.0030175726993807725, 0.05136022721417248, 0.12846163905092647, 0.27310473900288346, -0.1536757561777319, 0.005055980949795672, -0.11368373530650777, -0.19546417030006913, -0.3892985119351319, 0.008504465408623218, -0.08852459272103651, -0.05036482084542513, -0.1541658008866112, -0.02297162227332592, 0.3259127740881273, 0.15019257808370248, 0.2132986725441047, 0.01788175686129502, 0.35188447178474497, 0.09606079270264932, 0.082124006322452, 0.09015693673198777, 0.3472639305250985, 0.20529247066671294, 0.15153187985665031, -0.35410345613158173, 0.0889883318649871, 0.016666356148198246] |
707.0947 | Kelvin-Helmholtz instability in a weakly ionized layer | We study the linear theory of Kelvin-Helmholtz instability in a layer of ions
and neutrals with finite thickness. In the short wavelength limit the thickness
of the layer has a negligible effect on the growing modes. However,
perturbations with wavelength comparable to layer's thickness are significantly
affected by the thickness of the layer. We show that the thickness of the layer
has a stabilizing effect on the two dominant growing modes. Transition between
the modes not only depends on the magnetic strength, but also on the thickness
of the layer.
| astro-ph | we study the linear theory of kelvinhelmholtz instability in a layer of ions and neutrals with finite thickness in the short wavelength limit the thickness of the layer has a negligible effect on the growing modes however perturbations with wavelength comparable to layers thickness are significantly affected by the thickness of the layer we show that the thickness of the layer has a stabilizing effect on the two dominant growing modes transition between the modes not only depends on the magnetic strength but also on the thickness of the layer | [['we', 'study', 'the', 'linear', 'theory', 'of', 'kelvinhelmholtz', 'instability', 'in', 'a', 'layer', 'of', 'ions', 'and', 'neutrals', 'with', 'finite', 'thickness', 'in', 'the', 'short', 'wavelength', 'limit', 'the', 'thickness', 'of', 'the', 'layer', 'has', 'a', 'negligible', 'effect', 'on', 'the', 'growing', 'modes', 'however', 'perturbations', 'with', 'wavelength', 'comparable', 'to', 'layers', 'thickness', 'are', 'significantly', 'affected', 'by', 'the', 'thickness', 'of', 'the', 'layer', 'we', 'show', 'that', 'the', 'thickness', 'of', 'the', 'layer', 'has', 'a', 'stabilizing', 'effect', 'on', 'the', 'two', 'dominant', 'growing', 'modes', 'transition', 'between', 'the', 'modes', 'not', 'only', 'depends', 'on', 'the', 'magnetic', 'strength', 'but', 'also', 'on', 'the', 'thickness', 'of', 'the', 'layer']] | [-0.1636917104660016, 0.20818538531247113, 0.00519579839375284, -0.045103805512189864, -0.027918715288655624, -0.07787853186018764, 0.0433401050291852, 0.36707688028756014, -0.29171731610678964, -0.2586735042846865, 0.07230200103949755, -0.2882421555618445, -0.0877794759761956, 0.17547837656198276, 0.01563459844328463, -0.007503481198930078, 0.01353492011419601, 0.010806667659845616, -0.030741426051180396, -0.1833024624735117, 0.3644520044688963, 0.09293071453770002, 0.33710767121778595, 0.11237558420333597, 0.04561098141388761, -0.05526126677998238, 0.046028571907016966, 0.05311183390311069, -0.1574371780919642, 0.02567692491122418, 0.15088572029797231, -0.07056171985136138, 0.2747159176195661, -0.507684806568755, -0.24353190462829338, -0.022109016323358648, 0.15685585144803757, 0.10673637122122778, -0.02904534351805018, -0.20305879927861195, 0.08991981586441397, -0.112540522383319, -0.09648780868802634, 0.05788624690224727, 0.05484793427814212, 0.0002333029289729893, -0.2625302825588733, 0.06685393928880028, 0.11013227701187134, 0.06266239646356553, -0.0866541790491384, -0.11348523223358724, -0.1331735836341977, 0.10188154888649782, 0.12138264014696082, -0.0009083793265745044, 0.1737915966194123, -0.1626443561270005, -0.003957756225847536, 0.29797456012003953, -0.09959396626800299, -0.18601786553238828, 0.1993422461880578, -0.1777353570330888, 0.007173456600867212, 0.14102570481287938, 0.19533562953066494, 0.13641587746226125, -0.014022076098869244, 0.07362534403736289, -0.027407315352724657, 0.30276687706355004, 0.09347715828464263, 0.07124302737000916, 0.19382967677795224, 0.2401511231954727, 0.03755898812992705, 0.14979602286799087, -0.1539437907334003, -0.03648054818105367, -0.2619908471074369, -0.12643070719722244, -0.1668789213600879, -0.030261951113061514, -0.10678085583866859, -0.22831710578563313, 0.4273710009952386, 0.14867225002186993, 0.18335325316422516, 0.0011235481748978298, 0.2847939157289349, 0.12773011403106566, 0.17689288393076924, 0.04537900856384011, 0.3784883131583532, 0.1791461998415697, 0.08827480628258652, -0.27115066146167616, 0.13114334736019373, 0.04004286359219501] |
707.0948 | Self-adjoint, globally defined Hamiltonian operators for systems with
boundaries | For a general self-adjoint Hamiltonian operator $H_0$ on the Hilbert space
$L^2(\RE^d)$, we determine the set of all self-adjoint Hamiltonians $H$ on
$L^2(\RE^d)$ that dynamically confine the system to an open set $\Omega \subset
\RE^d$ while reproducing the action of $ H_0$ on an appropriate operator
domain. In the case $H_0=-\Delta +V$ we construct these Hamiltonians explicitly
showing that they can be written in the form $H=H_0+ B$, where $B$ is a
singular boundary potential and $H$ is self-adjoint on its maximal domain. An
application to the deformation quantization of one-dimensional systems with
boundaries is also presented.
| math-ph math.MP | for a general selfadjoint hamiltonian operator h_0 on the hilbert space l2red we determine the set of all selfadjoint hamiltonians h on l2red that dynamically confine the system to an open set omega subset red while reproducing the action of h_0 on an appropriate operator domain in the case h_0delta v we construct these hamiltonians explicitly showing that they can be written in the form hh_0 b where b is a singular boundary potential and h is selfadjoint on its maximal domain an application to the deformation quantization of onedimensional systems with boundaries is also presented | [['for', 'a', 'general', 'selfadjoint', 'hamiltonian', 'operator', 'h_0', 'on', 'the', 'hilbert', 'space', 'l2red', 'we', 'determine', 'the', 'set', 'of', 'all', 'selfadjoint', 'hamiltonians', 'h', 'on', 'l2red', 'that', 'dynamically', 'confine', 'the', 'system', 'to', 'an', 'open', 'set', 'omega', 'subset', 'red', 'while', 'reproducing', 'the', 'action', 'of', 'h_0', 'on', 'an', 'appropriate', 'operator', 'domain', 'in', 'the', 'case', 'h_0delta', 'v', 'we', 'construct', 'these', 'hamiltonians', 'explicitly', 'showing', 'that', 'they', 'can', 'be', 'written', 'in', 'the', 'form', 'hh_0', 'b', 'where', 'b', 'is', 'a', 'singular', 'boundary', 'potential', 'and', 'h', 'is', 'selfadjoint', 'on', 'its', 'maximal', 'domain', 'an', 'application', 'to', 'the', 'deformation', 'quantization', 'of', 'onedimensional', 'systems', 'with', 'boundaries', 'is', 'also', 'presented']] | [-0.15544439123031942, 0.1201030577703545, -0.023604109259124133, 0.0071011997172311745, -0.09855619916058284, -0.13064820082125037, -0.006237143293974247, 0.3916644411201173, -0.2833920137045231, -0.1719046611873869, 0.1092534355417964, -0.2897610902053086, -0.10120079442462389, 0.17868773845653546, -0.07938375390392352, 0.04691882598172982, 0.10321614595112748, 0.10322689684355592, -0.048070156432817035, -0.2370333438342873, 0.39143204280829175, -0.03314636919667271, 0.1479051021061481, 0.022129446109558675, 0.045550410913184604, -0.010508003046468614, 0.050941729791799284, -0.026544623547840488, -0.14253672216898153, 0.09411913446185396, 0.21501217966780384, 0.09419994561516858, 0.2488946414235583, -0.36691103986603146, -0.1868884326156942, 0.1658722134653796, 0.14588632069012902, 0.03955730848866416, 0.027690483418174407, -0.3345159645900725, 0.05309673102493299, -0.1277460069544217, -0.14207755786148793, -0.10947729608519598, 0.09689053107409719, -0.07170833643349978, -0.31349099386840107, 0.028472043600792876, 0.06434493661025896, 0.04437436079457799, -0.13189803229451694, -0.10633899026025245, -0.06471750049039404, 0.07437529156301567, -0.05888601190143047, 0.07888418439827721, 0.08668851562710032, -0.04649681329945142, -0.040727715746702704, 0.37237781858160857, -0.08284591161088642, -0.29051926783583265, 0.15665396419353783, -0.16520325522473517, -0.08828754232641547, 0.02561639636963051, 0.12938692816533148, 0.14276602719613213, -0.15320778889779715, 0.23781381402736868, -0.06410973312883103, 0.11182532964882372, 0.03236852111691173, 0.014944203324898325, 0.12274536698749487, 0.07264927707295468, 0.14824977146580498, 0.09228766059745698, 0.01615979929920286, -0.060918206061692314, -0.4187182414920089, -0.14617172851068702, -0.22095314482786751, 0.08240460426586264, -0.09217403102848813, -0.22522841224526155, 0.4108015250914948, 0.1155168838189677, 0.24577810732707223, -0.003078458474501918, 0.18735040437945344, 0.19021438581137076, 0.06722912448086835, 0.09110550617581194, 0.15009147957205138, 0.13153293445468583, 0.020900947336563246, -0.2504068729913536, -0.05329764790385912, 0.12827261844451757] |
707.0949 | Dynamic Aperture Optimization for the DAFNE Upgrade | Recently proposed novel idea of "crabbed waist" beam-beam collisions will be
tested at DAFNE during the collider run for the Siddharta experiment. In order
to achieve the goal luminosity, large dynamic aperture is a matter of primary
importance. A new method of a dynamic aperture optimization based on
step-by-step chromaticity compensation with choosing the "best" sextupole pair
at each step was applied to the DAFNE upgrade lattice. Several tune points were
considered taking into account both high luminosity and large dynamic aperture.
Algorithm and results of optimization will be presented.
| physics.acc-ph | recently proposed novel idea of crabbed waist beambeam collisions will be tested at dafne during the collider run for the siddharta experiment in order to achieve the goal luminosity large dynamic aperture is a matter of primary importance a new method of a dynamic aperture optimization based on stepbystep chromaticity compensation with choosing the best sextupole pair at each step was applied to the dafne upgrade lattice several tune points were considered taking into account both high luminosity and large dynamic aperture algorithm and results of optimization will be presented | [['recently', 'proposed', 'novel', 'idea', 'of', 'crabbed', 'waist', 'beambeam', 'collisions', 'will', 'be', 'tested', 'at', 'dafne', 'during', 'the', 'collider', 'run', 'for', 'the', 'siddharta', 'experiment', 'in', 'order', 'to', 'achieve', 'the', 'goal', 'luminosity', 'large', 'dynamic', 'aperture', 'is', 'a', 'matter', 'of', 'primary', 'importance', 'a', 'new', 'method', 'of', 'a', 'dynamic', 'aperture', 'optimization', 'based', 'on', 'stepbystep', 'chromaticity', 'compensation', 'with', 'choosing', 'the', 'best', 'sextupole', 'pair', 'at', 'each', 'step', 'was', 'applied', 'to', 'the', 'dafne', 'upgrade', 'lattice', 'several', 'tune', 'points', 'were', 'considered', 'taking', 'into', 'account', 'both', 'high', 'luminosity', 'and', 'large', 'dynamic', 'aperture', 'algorithm', 'and', 'results', 'of', 'optimization', 'will', 'be', 'presented']] | [-0.0594387612822983, 0.09627227186121874, -0.11112964863164557, 0.06079411584909798, -0.10853478888101462, -0.1708381434229927, -0.01939559264315499, 0.4438790751828088, -0.18321527936754542, -0.36609780345526005, 0.09546497941612163, -0.23761831366767486, -0.02364495190429605, 0.20050617846556837, -0.018433473569651446, 0.13474117615777587, 0.117082237959322, -0.07811548821628093, -0.03052866778905607, -0.2750281237893634, 0.23400917581618866, 0.16339016455846528, 0.2881732673280769, 0.08245088909235265, 0.15033683576879817, 0.048559525614190434, -0.0378451917734411, 0.04276296312196387, -0.08254907727241516, 0.061896328294662656, 0.294114976345251, 0.1296290187889503, 0.2883802351024416, -0.3961116622150358, -0.09945428249322706, 0.08233612742688921, 0.11620986222470593, 0.09637326825565348, -0.08705255796020436, -0.2733475371574362, 0.1039259295962337, -0.19306186564887565, -0.1391305324104097, -0.015911212703213096, -0.024898215181504688, 0.029930235877529614, -0.3311990167117781, -0.09100503588302268, -0.01892733431628181, 0.06184389694697327, -0.02033690820551581, -0.17351942396101852, 0.02612105223039786, 0.05606077932235268, -0.011875866459579103, 0.07234410097719067, 0.14732666338742192, -0.056830784628012526, -0.13086891603500891, 0.38146562663217387, -0.0041119137765943175, -0.10659277609601203, 0.1301159431355902, -0.14393222639337183, -0.0789125637203041, 0.17447543525033526, 0.29155920300011834, 0.060635752823307285, -0.18037484354960423, 0.018620298537684397, 0.056059049235449895, 0.17764685785190926, 0.07557557384586996, -0.01956312492903736, 0.2295304396810631, 0.26657032067370084, 0.08686654045143061, 0.14774505693672432, -0.15942177643430316, -0.03902330734482449, -0.34631757563264626, -0.08674686380351583, -0.1787302747524033, -0.05554224227606836, -0.05513996116577699, -0.021733367515520918, 0.39022919620490737, 0.14467505246090392, 0.21367315649468865, -0.015842870752223664, 0.32806407076617083, 0.09698757026344537, 0.10157235593748434, 0.020404141280353845, 0.2869726133118901, 0.08014224275506826, 0.15306989656657807, -0.2777565733865938, 0.01619427642888493, 0.0764297295982639] |
707.095 | Field induced magnetic transition and metastability in Co substituted
$Mn_{2}Sb$ | A detailed investigation of first order ferrimagnetic (FRI) to
antiferromagnetic (AFM) transition in Co (15%) doped $Mn_2Sb$ is carried out.
These measurements demonstrate anomalous thermomagnetic irreversibility and
glass-like frozen FRI phase at low temperatures. The irreversibility arising
between the supercooling and superheating spinodals is distinguised in an
ingenious way from the irreversibility arising due to kinetic arrest. Field
annealing measurements shows reentrant FRI-AFM-FRI transition with increasing
temperature. These measurements also show that kinetic arrest band and
supercooling band are anitcorrelated i.e regions which are kinetically arrested
at higher temperature have lower supercooling temperature and vice versa.
| cond-mat.str-el | a detailed investigation of first order ferrimagnetic fri to antiferromagnetic afm transition in co 15 doped mn_2sb is carried out these measurements demonstrate anomalous thermomagnetic irreversibility and glasslike frozen fri phase at low temperatures the irreversibility arising between the supercooling and superheating spinodals is distinguised in an ingenious way from the irreversibility arising due to kinetic arrest field annealing measurements shows reentrant friafmfri transition with increasing temperature these measurements also show that kinetic arrest band and supercooling band are anitcorrelated ie regions which are kinetically arrested at higher temperature have lower supercooling temperature and vice versa | [['a', 'detailed', 'investigation', 'of', 'first', 'order', 'ferrimagnetic', 'fri', 'to', 'antiferromagnetic', 'afm', 'transition', 'in', 'co', '15', 'doped', 'mn_2sb', 'is', 'carried', 'out', 'these', 'measurements', 'demonstrate', 'anomalous', 'thermomagnetic', 'irreversibility', 'and', 'glasslike', 'frozen', 'fri', 'phase', 'at', 'low', 'temperatures', 'the', 'irreversibility', 'arising', 'between', 'the', 'supercooling', 'and', 'superheating', 'spinodals', 'is', 'distinguised', 'in', 'an', 'ingenious', 'way', 'from', 'the', 'irreversibility', 'arising', 'due', 'to', 'kinetic', 'arrest', 'field', 'annealing', 'measurements', 'shows', 'reentrant', 'friafmfri', 'transition', 'with', 'increasing', 'temperature', 'these', 'measurements', 'also', 'show', 'that', 'kinetic', 'arrest', 'band', 'and', 'supercooling', 'band', 'are', 'anitcorrelated', 'ie', 'regions', 'which', 'are', 'kinetically', 'arrested', 'at', 'higher', 'temperature', 'have', 'lower', 'supercooling', 'temperature', 'and', 'vice', 'versa']] | [-0.12463082486520642, 0.3306822952494574, -0.06845853869479311, -0.00220491492908205, -0.0498161955873239, -0.14550384648812367, 0.11770538997876903, 0.3773119343475074, -0.259925836084775, -0.3197267370338997, 0.06035229823622933, -0.3273855649420749, -0.09141325245550631, 0.11578957259695491, 0.06763085205507789, -0.059919344403011644, -0.10251607445989856, -0.06591758291735618, -0.13981525581481907, -0.18550150233584092, 0.22772735622002865, 0.02227543419955865, 0.32589938511829014, 0.12371920415645708, 0.07114674642418875, -0.14183858602368477, 0.12949210200863687, 0.0657144344776221, -0.18637320971783597, -0.09085083268987744, 0.3057559518872396, -0.07218826908881412, 0.18323925164931215, -0.42450973257908353, -0.23315083231453015, 0.055601349206762796, 0.13814777342359658, 0.1539192533806351, -0.06244255169092313, -0.266023232318137, 0.01015074980829883, -0.10099821464846963, -0.0809708603097217, -0.15636936908729537, -0.035640818445244804, -0.04565823280616947, -0.21301036600387938, 0.21455598436011275, 0.08268698788774402, 0.20266830188262722, -0.09382476501733712, -0.12585418660740327, -0.11700934286573497, 0.007346946811910881, 0.06338510936146359, 0.062295885366873575, 0.25137542802131857, -0.10653558293225891, -0.08108741267705741, 0.31035422109087685, -0.031087012615107993, 0.05328004844689175, 0.25391268377121456, -0.22334303865816607, -0.13058657622794903, 0.3139288474947376, 0.0981539282137933, 0.043869678161370204, -0.09881951705471653, -0.01245127597022751, 0.09776399201592026, 0.19389976821232424, 0.032961137268854225, 0.04126083640553786, 0.25289046589750797, 0.19725908445821994, 0.007362203391613034, 0.21217346766396708, -0.10563336856126704, -0.10773978349955185, -0.22643282190572633, -0.16951319403723691, -0.19925100431504214, 0.06416259242383682, -0.15699408910017076, -0.13992630541527076, 0.29003566895287647, 0.2094666339740481, 0.1621527776385293, -0.008071065595646834, 0.22770468031218194, 0.09766970704557658, -0.005278948324975436, 0.05210288533050081, 0.2784677205263111, 0.2111562485502952, 0.2254890222304865, -0.30787565696569485, 0.10239737709154091, 0.008435278828508908] |
707.0951 | Do Solar system tests permit higher dimensional general relativity? | We perform a survey whether higher dimensional Schwarzschild space-time is
compatible with some of the solar system phenomena. As a test we examine five
well known solar system effects, viz., (1) Perihelion shift, (2) Bending of
light, (3) Gravitational redshift, (4) Gravitational time delay and (5) Motion
of test particle in the framework of general relativity with higher dimensions.
It is shown that the results related to all these physical phenomena are mostly
incompatible with the higher dimensional version of general relativity except
that of Motion of test particle. We compare all these results with the
available data in the literature.
| gr-qc | we perform a survey whether higher dimensional schwarzschild spacetime is compatible with some of the solar system phenomena as a test we examine five well known solar system effects viz 1 perihelion shift 2 bending of light 3 gravitational redshift 4 gravitational time delay and 5 motion of test particle in the framework of general relativity with higher dimensions it is shown that the results related to all these physical phenomena are mostly incompatible with the higher dimensional version of general relativity except that of motion of test particle we compare all these results with the available data in the literature | [['we', 'perform', 'a', 'survey', 'whether', 'higher', 'dimensional', 'schwarzschild', 'spacetime', 'is', 'compatible', 'with', 'some', 'of', 'the', 'solar', 'system', 'phenomena', 'as', 'a', 'test', 'we', 'examine', 'five', 'well', 'known', 'solar', 'system', 'effects', 'viz', '1', 'perihelion', 'shift', '2', 'bending', 'of', 'light', '3', 'gravitational', 'redshift', '4', 'gravitational', 'time', 'delay', 'and', '5', 'motion', 'of', 'test', 'particle', 'in', 'the', 'framework', 'of', 'general', 'relativity', 'with', 'higher', 'dimensions', 'it', 'is', 'shown', 'that', 'the', 'results', 'related', 'to', 'all', 'these', 'physical', 'phenomena', 'are', 'mostly', 'incompatible', 'with', 'the', 'higher', 'dimensional', 'version', 'of', 'general', 'relativity', 'except', 'that', 'of', 'motion', 'of', 'test', 'particle', 'we', 'compare', 'all', 'these', 'results', 'with', 'the', 'available', 'data', 'in', 'the', 'literature']] | [-0.11014074867586651, 0.13549076350829978, -0.03209048636847794, 0.1000323269002158, -0.061562541531085375, -0.15106335997876555, -0.047850781881093686, 0.3357944616236457, -0.1686453917755349, -0.3472435044512005, 0.10998452819727066, -0.26695822706759564, -0.14837846510794642, 0.23832734454294094, -0.056508247021327514, 0.06789128658463164, 0.05106496144233659, 0.05265140628884777, -0.07502876000699592, -0.2621092403049369, 0.3307004131856236, 0.06838242281781565, 0.20107884870007597, -0.015622676013609265, 0.10076245843170045, -0.03303924456496935, -0.04605902464470208, 0.07472056201843563, -0.1340736367338911, 0.07453564122909366, 0.18465891715697022, 0.14097206092596348, 0.21141844639775925, -0.3897470764742039, -0.22875247917848057, 0.0392796751031062, 0.08778328872239678, 0.14152999451881884, -0.04036561516805155, -0.2613026349307361, 0.0669379185177478, -0.1790193317015425, -0.17663550127924668, -0.013961446222544896, 0.03615029631090341, 0.017978462150855228, -0.19794901347912774, 0.11272241364205533, 0.052516229991284705, 0.05717041800812919, -0.11198910379708552, -0.11434267083468783, -0.005670374293931493, 0.11271861112114079, 0.10400005364974979, 0.030857297190750886, 0.11577782306432871, -0.08182544834951588, -0.14830427522780282, 0.481857702283576, -0.06959044116798162, -0.1811559280694121, 0.23543135464043902, -0.2664995739734409, -0.14390619852958192, 0.106390882104792, 0.16247294717791058, 0.1321634188441947, -0.15404327059312178, 0.05539208187175324, -0.0031183199740319263, 0.1705790301877083, 0.09662076343533278, 0.0547975010185567, 0.2145565630231827, 0.15260133409577578, 0.031205269840020356, 0.07970444471713635, -0.1166937069893621, -0.08356022263996966, -0.3443890435455164, -0.14280174934249926, -0.11178234214018477, 0.05445429069534092, -0.1372033825170394, -0.11721074338719978, 0.3571658969884462, 0.18095054748435827, 0.14912044756013051, 0.06924127857431327, 0.2687455203965085, 0.08110366245422808, 0.037380125083139926, 0.06927541340931807, 0.3146934531560504, 0.10265913755992556, 0.11224420213758356, -0.16998530582220542, -0.038929213396282775, 0.025450301741591037] |
707.0952 | The rise of the afterglow in GRB 050820a | The early optical afterglow of GRB 050820a recorded by the RAPTOR telescope
shows both a contribution from the prompt emission and the initial rise of the
afterglow. It is therefore well-suited for the study of the dynamical evolution
of the GRB ejecta when it first undergoes the decelerating effect of the
environment. This is a complex phase where the internal, reverse, and forward
shocks can all be present simultaneously. We have developed a simplified model
that can follow these different shocks in an approximate, but self-consistent
way. It is applied to the case of GRB 050820a to obtain the prompt and
afterglow light curves. We show that the rise of the afterglow during the
course of the prompt emission has some important consequences. The reverse
shock propagates back into the ejecta before internal shocks are completed,
which affects the shape of the gamma-ray profile. We get the best results when
the external medium has a uniform density, but obtaining a simultaneous fit of
the prompt and afterglow emission is not easy. We discuss a few possibilities
that could help to improve this situation.
| astro-ph | the early optical afterglow of grb 050820a recorded by the raptor telescope shows both a contribution from the prompt emission and the initial rise of the afterglow it is therefore wellsuited for the study of the dynamical evolution of the grb ejecta when it first undergoes the decelerating effect of the environment this is a complex phase where the internal reverse and forward shocks can all be present simultaneously we have developed a simplified model that can follow these different shocks in an approximate but selfconsistent way it is applied to the case of grb 050820a to obtain the prompt and afterglow light curves we show that the rise of the afterglow during the course of the prompt emission has some important consequences the reverse shock propagates back into the ejecta before internal shocks are completed which affects the shape of the gammaray profile we get the best results when the external medium has a uniform density but obtaining a simultaneous fit of the prompt and afterglow emission is not easy we discuss a few possibilities that could help to improve this situation | [['the', 'early', 'optical', 'afterglow', 'of', 'grb', '050820a', 'recorded', 'by', 'the', 'raptor', 'telescope', 'shows', 'both', 'a', 'contribution', 'from', 'the', 'prompt', 'emission', 'and', 'the', 'initial', 'rise', 'of', 'the', 'afterglow', 'it', 'is', 'therefore', 'wellsuited', 'for', 'the', 'study', 'of', 'the', 'dynamical', 'evolution', 'of', 'the', 'grb', 'ejecta', 'when', 'it', 'first', 'undergoes', 'the', 'decelerating', 'effect', 'of', 'the', 'environment', 'this', 'is', 'a', 'complex', 'phase', 'where', 'the', 'internal', 'reverse', 'and', 'forward', 'shocks', 'can', 'all', 'be', 'present', 'simultaneously', 'we', 'have', 'developed', 'a', 'simplified', 'model', 'that', 'can', 'follow', 'these', 'different', 'shocks', 'in', 'an', 'approximate', 'but', 'selfconsistent', 'way', 'it', 'is', 'applied', 'to', 'the', 'case', 'of', 'grb', '050820a', 'to', 'obtain', 'the', 'prompt', 'and', 'afterglow', 'light', 'curves', 'we', 'show', 'that', 'the', 'rise', 'of', 'the', 'afterglow', 'during', 'the', 'course', 'of', 'the', 'prompt', 'emission', 'has', 'some', 'important', 'consequences', 'the', 'reverse', 'shock', 'propagates', 'back', 'into', 'the', 'ejecta', 'before', 'internal', 'shocks', 'are', 'completed', 'which', 'affects', 'the', 'shape', 'of', 'the', 'gammaray', 'profile', 'we', 'get', 'the', 'best', 'results', 'when', 'the', 'external', 'medium', 'has', 'a', 'uniform', 'density', 'but', 'obtaining', 'a', 'simultaneous', 'fit', 'of', 'the', 'prompt', 'and', 'afterglow', 'emission', 'is', 'not', 'easy', 'we', 'discuss', 'a', 'few', 'possibilities', 'that', 'could', 'help', 'to', 'improve', 'this', 'situation']] | [-0.05758753481010596, 0.13108673080099972, -0.14025227401324145, 0.1423335871385675, -0.1360615422501346, -0.09834296173922454, 0.02501670319378335, 0.45365501951446624, -0.24576179993140404, -0.2748326996730671, 0.06470092414188723, -0.25385149475695984, -0.062335318091829295, 0.21371282745900824, 0.009637126576949338, -0.022155785159579392, 0.09387824477951037, -0.04346465356037265, -0.05867527265297605, -0.22849878994239076, 0.2771799772484177, 0.10352216785661672, 0.22654160887751693, 0.05152332383498061, 0.0894292594675392, -0.019220507060773377, -0.028051981593029258, -0.03674780358903904, -0.09077365804253537, 0.04039143939894405, 0.17398876395290258, 0.15488159286285766, 0.20418739389841917, -0.45033515941942, -0.2618270632231995, 0.11963990134762122, 0.15451594703204807, 0.10056392402360165, -0.030797913619647913, -0.2768068817161695, 0.03215012818961684, -0.20714214458919125, -0.1701716756717877, 0.024945393866284298, 0.007158369155437813, 0.04455812068152257, -0.21132518209216739, 0.06166168391867414, 0.04594759463143021, 0.0004231844064296106, -0.06458169308139897, 0.01489327781798084, -0.026517920934625704, 0.1131355550201849, 0.08707145085021385, 0.05813099478137338, 0.11283343040786399, -0.13877445775023128, -0.04264035741824026, 0.43529068902033113, -0.05097529033766398, -0.019005170991501764, 0.17923947650420127, -0.17658767803658634, -0.1392298216671973, 0.20205620091021712, 0.14636170348569832, 0.07297170797077929, -0.13570201506184879, 0.009264742773626752, -0.00430902230357395, 0.1491153026254125, 0.008454104886731244, 0.017264250073011946, 0.23007775461708344, 0.13270677207546727, 0.0035746358780322667, 0.18135358291153944, -0.14945836940556356, -0.0071047381879609135, -0.32752527990709235, -0.15307354029456327, -0.11502551504403169, 0.09126880364067906, -0.09858255999136074, -0.12608793712745273, 0.4472495649198243, 0.13260245881974697, 0.20513602940090855, 0.005735794389544085, 0.30937869215760727, 0.1236011345837077, 0.012728795312507882, 0.11612536780958578, 0.3373453587815585, 0.11186476899285501, 0.14866929558802985, -0.21619646428941744, 0.15762747191859644, 0.00902156066276703] |
707.0953 | Weighted lattice polynomials of independent random variables | We give the cumulative distribution functions, the expected values, and the
moments of weighted lattice polynomials when regarded as real functions of
independent random variables. Since weighted lattice polynomial functions
include ordinary lattice polynomial functions and, particularly, order
statistics, our results encompass the corresponding formulas for these
particular functions. We also provide an application to the reliability
analysis of coherent systems.
| math.PR math.RA | we give the cumulative distribution functions the expected values and the moments of weighted lattice polynomials when regarded as real functions of independent random variables since weighted lattice polynomial functions include ordinary lattice polynomial functions and particularly order statistics our results encompass the corresponding formulas for these particular functions we also provide an application to the reliability analysis of coherent systems | [['we', 'give', 'the', 'cumulative', 'distribution', 'functions', 'the', 'expected', 'values', 'and', 'the', 'moments', 'of', 'weighted', 'lattice', 'polynomials', 'when', 'regarded', 'as', 'real', 'functions', 'of', 'independent', 'random', 'variables', 'since', 'weighted', 'lattice', 'polynomial', 'functions', 'include', 'ordinary', 'lattice', 'polynomial', 'functions', 'and', 'particularly', 'order', 'statistics', 'our', 'results', 'encompass', 'the', 'corresponding', 'formulas', 'for', 'these', 'particular', 'functions', 'we', 'also', 'provide', 'an', 'application', 'to', 'the', 'reliability', 'analysis', 'of', 'coherent', 'systems']] | [-0.09456282806750692, 0.10047464151356224, -0.08436845523900673, 0.13172134863151636, -0.04647332965014655, -0.04133401108814067, 0.03575434801397753, 0.3433848738090181, -0.302688383085073, -0.2207738520943972, 0.10916757888206449, -0.2663847218863055, -0.18863473465421893, 0.23533645299736594, 0.015480304794571149, 0.10644564182773332, 0.019026464523106325, 0.02125662624440919, -0.11443728310071298, -0.3517536545844107, 0.31586642158752093, 0.019277597601968247, 0.2507146817677822, 0.05204546534013553, 0.0921693364478892, 0.09126895091297929, -0.05679035749378019, -0.025366295947784893, -0.14793674553149058, 0.11198665684119599, 0.26393875302594216, 0.11296281048760379, 0.20270197136236018, -0.406852804063285, -0.1502293394496817, 0.18096049453635685, 0.13483728527246028, 0.04630857405298557, 0.026828231457926212, -0.2307775710083422, 0.053463086821749564, -0.16178622638776166, -0.18118007670416206, -0.14305600845331296, 0.003952958033282737, 0.17604126141513468, -0.34581835897731, 0.06493992450385598, 0.04437949032843357, 0.0918533990739799, -0.06051949845229993, -0.2257041995276193, 0.0378920395522699, 0.11792026799731338, 0.000893558818297308, 0.014542660153028174, 0.056656539508859155, -0.11669442244351184, -0.16535788539369575, 0.38644409147625575, -0.03259504972155527, -0.28755737483867855, 0.1221982162506854, -0.17050437187989714, -0.15183663279673115, 0.06732846220924718, 0.19143574371872868, 0.1321827557594439, -0.08976060938071956, 0.04766074847239146, -0.07687496381704925, 0.12069506387485833, 0.02390401679106423, 0.1051370910689479, 0.1426008847259657, 0.009333769783194437, 0.08698384705014893, 0.21803851179457956, 0.002175901314152069, -0.14254650644591596, -0.3493628428607691, -0.10695818836464867, -0.2084537917809164, 0.02627284113569643, -0.18894179350816737, -0.24881907149416502, 0.391046142572018, 0.09803507488495747, 0.1941892056588511, 0.14933624325823955, 0.2181638660000973, 0.247878926325223, 0.04521963877420201, 0.004520137080556301, 0.11352832007725708, 0.18302975161398044, 0.0729185622758003, -0.12730455394742674, 0.07006935927192451, 0.11289965115548646] |
707.0954 | Strong Coupling Correction in Superfluid $^3$He in Aerogel | Effects of impurity scatterings on the strong coupling (SC) contribution,
stabilizing the ABM (axial) pairing state, to the quartic term of the
Ginzburg-Landau (GL) free energy of superfluid $^3$He are theoretically studied
to examine recent observations suggestive of an anomalously small SC effect in
superfluid $^3$He in aerogels. To study the SC corrections, two approaches are
used. One is based on a perturbation in the short-range repulsive interaction,
and the other is a phenomenological approach used previously for the bulk
liquid by Sauls and Serene [Phys.Rev.B 24, 183 (1981)]. It is found that the
impurity scattering favors the BW pairing state and shrinks the region of the
ABM pairing state in the T-P phase diagram. In the phenomenological approach,
the resulting shrinkage of the ABM region is especially substantial and, if
assuming an anisotropy over a large scale in aerogel, leads to justifying the
phase diagrams determined experimentally.
| cond-mat.supr-con cond-mat.str-el | effects of impurity scatterings on the strong coupling sc contribution stabilizing the abm axial pairing state to the quartic term of the ginzburglandau gl free energy of superfluid 3he are theoretically studied to examine recent observations suggestive of an anomalously small sc effect in superfluid 3he in aerogels to study the sc corrections two approaches are used one is based on a perturbation in the shortrange repulsive interaction and the other is a phenomenological approach used previously for the bulk liquid by sauls and serene physrevb 24 183 1981 it is found that the impurity scattering favors the bw pairing state and shrinks the region of the abm pairing state in the tp phase diagram in the phenomenological approach the resulting shrinkage of the abm region is especially substantial and if assuming an anisotropy over a large scale in aerogel leads to justifying the phase diagrams determined experimentally | [['effects', 'of', 'impurity', 'scatterings', 'on', 'the', 'strong', 'coupling', 'sc', 'contribution', 'stabilizing', 'the', 'abm', 'axial', 'pairing', 'state', 'to', 'the', 'quartic', 'term', 'of', 'the', 'ginzburglandau', 'gl', 'free', 'energy', 'of', 'superfluid', '3he', 'are', 'theoretically', 'studied', 'to', 'examine', 'recent', 'observations', 'suggestive', 'of', 'an', 'anomalously', 'small', 'sc', 'effect', 'in', 'superfluid', '3he', 'in', 'aerogels', 'to', 'study', 'the', 'sc', 'corrections', 'two', 'approaches', 'are', 'used', 'one', 'is', 'based', 'on', 'a', 'perturbation', 'in', 'the', 'shortrange', 'repulsive', 'interaction', 'and', 'the', 'other', 'is', 'a', 'phenomenological', 'approach', 'used', 'previously', 'for', 'the', 'bulk', 'liquid', 'by', 'sauls', 'and', 'serene', 'physrevb', '24', '183', '1981', 'it', 'is', 'found', 'that', 'the', 'impurity', 'scattering', 'favors', 'the', 'bw', 'pairing', 'state', 'and', 'shrinks', 'the', 'region', 'of', 'the', 'abm', 'pairing', 'state', 'in', 'the', 'tp', 'phase', 'diagram', 'in', 'the', 'phenomenological', 'approach', 'the', 'resulting', 'shrinkage', 'of', 'the', 'abm', 'region', 'is', 'especially', 'substantial', 'and', 'if', 'assuming', 'an', 'anisotropy', 'over', 'a', 'large', 'scale', 'in', 'aerogel', 'leads', 'to', 'justifying', 'the', 'phase', 'diagrams', 'determined', 'experimentally']] | [-0.16158794524538256, 0.2028443389684292, -0.0916313176999825, 0.10025085113640572, -0.03686040237300551, -0.12830140015481645, 0.06919121166543304, 0.3221241839519526, -0.2371894025017281, -0.26315291550614545, 0.001642334330008944, -0.3113063105910614, -0.08140197719925758, 0.11925709442742094, 0.043770809064782853, 0.0058051634389542145, -0.026769987062072835, 0.0033000256029284887, -0.08662702334333665, -0.21166673431493896, 0.3186983314666872, 0.03573101917848091, 0.31371827707374217, 0.10717669439288108, 0.011923172762869177, 0.007000962475226638, 0.03483866838536955, 0.016566865674748615, -0.15943541529619276, 0.025571450867967027, 0.2231359325504289, -0.0583262173364543, 0.16824058086510646, -0.4096052939500156, -0.2230621042749467, 0.060038991423474776, 0.15106954291066457, 0.14830815593233784, -0.014620735412274764, -0.2749893891851644, -0.0014738547930342925, -0.2333615513556209, -0.1438631702033957, -0.07696041462917787, 0.04812409176736617, -0.03736740332179407, -0.28214794508106, 0.08995140165820517, 0.049286494888931616, 0.048231574782245865, -0.085067410884123, -0.16365012401287016, -0.026524001103196596, 0.0381442679161508, 0.08255804696976132, 0.07648349327752618, 0.10653976489934516, -0.15186054232479954, -0.0440020859839294, 0.374039014600016, -0.08192973034582227, -0.12062577704794397, 0.15562987877716739, -0.1251556061206675, -0.05684662384383783, 0.18750274342459602, 0.10590187434383945, 0.06555613241082914, -0.1258705347254117, 0.09522073357712126, -0.0063903300261527705, 0.17339480718176156, -0.012199201514138966, -0.0022510770028708756, 0.18014719697483186, 0.2265421336963521, 0.0019306505375818626, 0.1303176333049369, -0.1639377842405559, -0.1378928575424062, -0.2741608898897932, -0.10320252445023004, -0.1804522915390899, -0.041836691551489405, -0.0721348634117906, -0.16717251849587303, 0.35222233701937805, 0.12560103056917749, 0.18177362667405317, -0.0537971803876005, 0.2499576668078835, 0.0916072974792474, 0.06893508620811878, 0.036246262116332514, 0.3326878221516774, 0.1604519721192962, 0.09073424227834628, -0.3212809419397869, 0.0764031971992006, 0.06482181225185962] |
707.0955 | Universal Vertex-IRF Transformation for Quantum Affine Algebras | We construct a universal Vertex-IRF transformation between Vertex type
universal solution and Face type universal solution of the quantum dynamical
Yang-Baxter equation. This universal Vertex-IRF transformation satisfies the
generalized coBoundary equation and is an extension of our previous work to the
quantum affine $U_q(A^{(1)}_r)$ case. This solution has a simple Gauss
decomposition which is constructed using Sevostyanov's characters of twisted
quantum Borel algebras. We show that the evaluation of this universal solution
in the evaluation representation of $U_q(A_1^{(1)})$ gives the standard
Baxter's transformation between the 8-Vertex model and the IRF height model.
| math-ph math.MP math.QA | we construct a universal vertexirf transformation between vertex type universal solution and face type universal solution of the quantum dynamical yangbaxter equation this universal vertexirf transformation satisfies the generalized coboundary equation and is an extension of our previous work to the quantum affine u_qa1_r case this solution has a simple gauss decomposition which is constructed using sevostyanovs characters of twisted quantum borel algebras we show that the evaluation of this universal solution in the evaluation representation of u_qa_11 gives the standard baxters transformation between the 8vertex model and the irf height model | [['we', 'construct', 'a', 'universal', 'vertexirf', 'transformation', 'between', 'vertex', 'type', 'universal', 'solution', 'and', 'face', 'type', 'universal', 'solution', 'of', 'the', 'quantum', 'dynamical', 'yangbaxter', 'equation', 'this', 'universal', 'vertexirf', 'transformation', 'satisfies', 'the', 'generalized', 'coboundary', 'equation', 'and', 'is', 'an', 'extension', 'of', 'our', 'previous', 'work', 'to', 'the', 'quantum', 'affine', 'u_qa1_r', 'case', 'this', 'solution', 'has', 'a', 'simple', 'gauss', 'decomposition', 'which', 'is', 'constructed', 'using', 'sevostyanovs', 'characters', 'of', 'twisted', 'quantum', 'borel', 'algebras', 'we', 'show', 'that', 'the', 'evaluation', 'of', 'this', 'universal', 'solution', 'in', 'the', 'evaluation', 'representation', 'of', 'u_qa_11', 'gives', 'the', 'standard', 'baxters', 'transformation', 'between', 'the', '8vertex', 'model', 'and', 'the', 'irf', 'height', 'model']] | [-0.11469953573412366, 0.027543814790098823, -0.1278302112697727, 0.028319002598679314, -0.12525126073095533, -0.1687956988462247, 0.0019366106561695537, 0.2982148191244859, -0.35302562853838837, -0.1799588925515612, 0.05389020899698759, -0.24869911081881987, -0.2290249942491452, 0.18589858890304134, -0.07348858595877472, 0.06539926619993316, 0.051348418742418286, 0.0718620888914706, -0.1506669569734691, -0.21125463743487166, 0.3532888937120636, -0.022432815943223734, 0.30397911735085975, 0.021201515280538135, 0.16699638661618035, -0.005165300470414675, 0.024342457365451587, -0.03942030149563733, -0.18177244405871737, 0.11217824739999034, 0.2144031179215138, 0.10134131947739257, 0.16255110409110785, -0.33220683376615245, -0.1425809486044778, 0.12224767487496138, 0.11486324894423079, 0.1041766506451596, -0.04526134032963051, -0.27196398200208527, 0.06507938434369862, -0.22916651792410347, -0.16059074743987165, -0.07840521952344312, 0.02481710163669454, -0.04311387458195289, -0.2577693848353293, 0.07094917941305741, 0.1200178645172855, 0.028646163701907628, -0.07977343401871621, -0.04582065899545948, 0.017543675183939438, 0.07990298298601475, -0.0588673929657994, 0.05751649119580785, 0.058842503460538056, -0.12508269251686419, -0.1442792732372052, 0.3577273240519894, -0.038284760360450795, -0.2575163367514809, 0.11863728287733263, -0.07733396588721209, -0.1580071236524317, 0.04370940753983127, 0.045690646837465466, 0.08814079355862406, -0.13791843560627765, 0.19738597815869272, -0.13719900019673836, 0.1348765096368475, 0.08038479210808873, -0.041385745427881676, 0.13939929724082403, 0.09531096648424864, 0.023054570404605734, 0.1875879775525795, 0.03542817244306207, -0.16071095426256457, -0.37217326333953277, -0.18998546390276816, -0.1459650622266862, 0.1400347619731393, -0.14143338084896742, -0.24612972295532623, 0.41827321713272897, 0.12200856246054173, 0.15905946716666222, 0.10302019926538276, 0.21621965249586436, 0.2041845279913913, 0.0841500697657466, 0.039035833434253514, 0.14123455313448277, 0.18496378971677688, 0.03195919900511702, -0.22791560385958293, -0.019245896423752937, 0.2560819444453551] |
707.0956 | Real-time path integral approach to nonequilibrium many-body quantum
system | A real-time path integral Monte Carlo approach is developed to study the
dynamics in a many-body quantum system until reaching a nonequilibrium
stationary state. The approach is based on augmenting an exact reduced equation
for the evolution of the system in the interaction picture which is amenable to
an efficient path integral (worldline) Monte Carlo approach. Results obtained
for a model of inelastic tunneling spectroscopy reveal the applicability of the
approach to a wide range of physically important regimes, including high
(classical) and low (quantum) temperatures, and weak (perturbative) and strong
electron-phonon couplings.
| cond-mat.mes-hall cond-mat.stat-mech | a realtime path integral monte carlo approach is developed to study the dynamics in a manybody quantum system until reaching a nonequilibrium stationary state the approach is based on augmenting an exact reduced equation for the evolution of the system in the interaction picture which is amenable to an efficient path integral worldline monte carlo approach results obtained for a model of inelastic tunneling spectroscopy reveal the applicability of the approach to a wide range of physically important regimes including high classical and low quantum temperatures and weak perturbative and strong electronphonon couplings | [['a', 'realtime', 'path', 'integral', 'monte', 'carlo', 'approach', 'is', 'developed', 'to', 'study', 'the', 'dynamics', 'in', 'a', 'manybody', 'quantum', 'system', 'until', 'reaching', 'a', 'nonequilibrium', 'stationary', 'state', 'the', 'approach', 'is', 'based', 'on', 'augmenting', 'an', 'exact', 'reduced', 'equation', 'for', 'the', 'evolution', 'of', 'the', 'system', 'in', 'the', 'interaction', 'picture', 'which', 'is', 'amenable', 'to', 'an', 'efficient', 'path', 'integral', 'worldline', 'monte', 'carlo', 'approach', 'results', 'obtained', 'for', 'a', 'model', 'of', 'inelastic', 'tunneling', 'spectroscopy', 'reveal', 'the', 'applicability', 'of', 'the', 'approach', 'to', 'a', 'wide', 'range', 'of', 'physically', 'important', 'regimes', 'including', 'high', 'classical', 'and', 'low', 'quantum', 'temperatures', 'and', 'weak', 'perturbative', 'and', 'strong', 'electronphonon', 'couplings']] | [-0.11799543473108481, 0.11782898002595801, -0.1462430263799365, 0.09246995948850908, -0.035438505264239445, -0.13366717380040916, 0.05606713419359538, 0.3684597903842567, -0.273769741948013, -0.29203784683098394, 0.04018791701259111, -0.26273504886976495, -0.11932673063930324, 0.25478755006997256, 0.06182140381305769, 0.09528656707956426, 0.12635281951397018, -0.013255349906807344, -0.08922819517833251, -0.18429525690777565, 0.2560364039895195, 0.08562024891807107, 0.271131080965842, 0.08269477123269431, 0.1573879985809727, 0.08548781516841583, 0.03930876997014087, 0.021079213103099216, -0.16962422549684522, 0.09484602069301952, 0.2389499129613571, 0.02063770208668004, 0.2793688787628085, -0.4214774101011215, -0.2492671265186722, 0.016114355857303787, 0.14944912520517664, 0.16465483464035255, -0.04009984289070651, -0.3076717966105989, 0.022919798960849162, -0.21479593635716987, -0.15439973223293502, -0.12854411553150863, -0.02109404728417435, -0.02408959361303958, -0.2775049955053355, 0.08645734707674672, -0.019372164166622585, 0.033569707995861446, -0.0536219579826725, -0.040868221809686994, 0.037093888487546675, 0.07723350568564348, -0.02200092209167578, 0.046474936589728844, 0.1169696559438542, -0.1623475761603444, -0.1378966914790292, 0.3401654514794548, -0.05475422990838847, -0.1346885160297676, 0.23002182616431627, -0.1166281726371537, -0.11289543543331405, 0.20306738468027244, 0.11436312066851764, 0.1941610035206121, -0.22431403085068669, 0.13273155126534153, 0.025750088640638897, 0.11934587612788203, -0.08595967768461153, 0.04062611925771199, 0.17612352078202836, 0.2098085713843184, 0.03510079553891574, 0.12661034243571903, -0.07215015805246289, -0.22091224755320737, -0.28697208062775675, -0.15602563553294468, -0.2190736442283597, 0.0894431692087442, -0.09965977412651629, -0.20080754906940523, 0.3328545680820381, 0.23106542245862927, 0.1325368910066543, 0.04970264335798841, 0.3091598112656865, 0.18495384655312025, 0.004815456407364979, 0.02560174511745572, 0.21676311415109423, 0.17195578710606663, 0.08243874325767479, -0.3066051116223217, 0.01293803675861288, 0.0884268147951012] |
707.0957 | Supergravity solutions with constant scalar invariants | We study a class of constant scalar invariant (CSI) spacetimes, which belong
to the higher-dimensional Kundt class, that are solutions of supergravity. We
review the known CSI supergravity solutions in this class and we explicitly
present a number of new exact CSI supergravity solutions, some of which are
Einstein.
| hep-th gr-qc | we study a class of constant scalar invariant csi spacetimes which belong to the higherdimensional kundt class that are solutions of supergravity we review the known csi supergravity solutions in this class and we explicitly present a number of new exact csi supergravity solutions some of which are einstein | [['we', 'study', 'a', 'class', 'of', 'constant', 'scalar', 'invariant', 'csi', 'spacetimes', 'which', 'belong', 'to', 'the', 'higherdimensional', 'kundt', 'class', 'that', 'are', 'solutions', 'of', 'supergravity', 'we', 'review', 'the', 'known', 'csi', 'supergravity', 'solutions', 'in', 'this', 'class', 'and', 'we', 'explicitly', 'present', 'a', 'number', 'of', 'new', 'exact', 'csi', 'supergravity', 'solutions', 'some', 'of', 'which', 'are', 'einstein']] | [-0.2129127433789628, 0.05388909724674055, 0.033332326962631574, 0.08544385604969017, -0.18540085053869657, -0.22287205825274697, -0.04423160104518186, 0.3151408250785756, -0.1408537715977552, -0.24716102514339952, 0.15489335219632377, -0.27734768998866177, -0.19594417542827372, 0.08560968574364575, -0.10939290469550357, 0.06390033772557366, 0.00818176321419222, 0.062429897449150375, -0.1321271733922542, -0.33487226084178806, 0.43443937789724796, -0.060070297134355924, 0.24916423539802127, -0.07729177074316813, 0.12194434695934155, -0.13927346685359596, 0.02243956777134112, 0.04122469113303386, -0.23683133406391751, 0.11510626768113627, 0.29092613777753956, 0.17730978697690428, 0.15589208539803417, -0.3607393486463294, -0.2376085024669158, 0.1293431912401539, 0.13532168610135512, 0.25078287422752044, -0.08030077934797321, -0.2994750573546911, 0.12420570173737955, -0.20663551788549034, -0.1303934226648844, -0.07414382601118817, -0.04903288644605449, -0.0469524168209838, -0.21678391768007862, 0.08277120873598116, 0.015397098941766486, -0.05308612616618677, -0.17455462254203705, -0.08849823663049207, 0.009525298806173461, 0.037447224504181316, 0.15442708529988114, -0.049272182060177534, 0.020723444780296817, -0.16513070151951087, -0.10369984169219791, 0.31352446013491375, -0.06279206760607813, -0.3037947777810754, 0.1287684261190648, -0.15097824556334893, -0.18774436728800742, 0.1584743432016397, 0.18470357591286302, 0.2735337655307079, -0.21237879400426635, 0.2042836600199475, -0.06202438656164675, 0.1293767687617516, 0.0953452050571843, 0.15014821168377387, 0.19457965585574202, 0.07630167290454312, 0.05833791713919301, 0.14874619654170712, 0.020189654177092776, -0.12499927301126133, -0.48803084662982393, -0.2148461573049236, -0.10226598913230155, 0.17810111063323458, -0.11485563668069591, -0.21617651046538838, 0.3926733019856774, 0.08924844775500955, 0.0731085938002382, 0.12293210383789728, 0.14656166713304666, 0.03082469250170552, 0.012409409132729076, 0.14330341507281577, 0.27695316311306967, 0.13617020860618476, 0.10332666251960458, -0.18082567015472722, -0.09641140895154403, 0.15031687585560946] |
707.0958 | Elodie metallicity-biased search for transiting Hot Jupiters IV.
Intermediate period planets orbiting the stars HD43691 and HD132406 | We report here the discovery of two planet candidates as a result of our
planet-search programme biased in favour of high-metallicity stars, using the
ELODIE spectrograph at the Observatoire de Haute Provence. One of them has a
minimum mass m_2\sin{i} = 2.5 M_Jup and is orbiting the metal-rich star HD43691
with period P = 40 days and eccentricity e = 0.14. The other planet has a
minimum mass m_2\sin{i} = 5.6 M_Jup and orbits the slightly metal-rich star
HD132406 with period P = 974 days and eccentricity e = 0.34. Both stars were
followed up with additional observations using the new SOPHIE spectrograph that
replaces the ELODIE instrument, allowing an improved orbital solution for the
systems.
| astro-ph | we report here the discovery of two planet candidates as a result of our planetsearch programme biased in favour of highmetallicity stars using the elodie spectrograph at the observatoire de haute provence one of them has a minimum mass m_2sini 25 m_jup and is orbiting the metalrich star hd43691 with period p 40 days and eccentricity e 014 the other planet has a minimum mass m_2sini 56 m_jup and orbits the slightly metalrich star hd132406 with period p 974 days and eccentricity e 034 both stars were followed up with additional observations using the new sophie spectrograph that replaces the elodie instrument allowing an improved orbital solution for the systems | [['we', 'report', 'here', 'the', 'discovery', 'of', 'two', 'planet', 'candidates', 'as', 'a', 'result', 'of', 'our', 'planetsearch', 'programme', 'biased', 'in', 'favour', 'of', 'highmetallicity', 'stars', 'using', 'the', 'elodie', 'spectrograph', 'at', 'the', 'observatoire', 'de', 'haute', 'provence', 'one', 'of', 'them', 'has', 'a', 'minimum', 'mass', 'm_2sini', '25', 'm_jup', 'and', 'is', 'orbiting', 'the', 'metalrich', 'star', 'hd43691', 'with', 'period', 'p', '40', 'days', 'and', 'eccentricity', 'e', '014', 'the', 'other', 'planet', 'has', 'a', 'minimum', 'mass', 'm_2sini', '56', 'm_jup', 'and', 'orbits', 'the', 'slightly', 'metalrich', 'star', 'hd132406', 'with', 'period', 'p', '974', 'days', 'and', 'eccentricity', 'e', '034', 'both', 'stars', 'were', 'followed', 'up', 'with', 'additional', 'observations', 'using', 'the', 'new', 'sophie', 'spectrograph', 'that', 'replaces', 'the', 'elodie', 'instrument', 'allowing', 'an', 'improved', 'orbital', 'solution', 'for', 'the', 'systems']] | [-0.15118099650135264, 0.15339799266843734, -0.14425342176885655, -0.01210789788510064, -0.14802401796569703, -0.13973454986289316, 0.08980257026161309, 0.32337610633543656, -0.08545698680811459, -0.42746074927142924, 0.07150798980513139, -0.3461396631060375, 0.008332033719246587, 0.21621342235313798, -0.11140860281281036, 0.02461872451628248, 0.19852245251510153, -0.03975692158025965, -0.014994040603697713, -0.32087954069936164, 0.20696665101719122, 0.09627291159186926, 0.03533167088042117, -0.08281935111261662, 0.06218337894124151, -0.0496262208412022, -0.01978690493948913, -0.11762365601801623, -0.22805204116816136, -0.0005421012691739532, 0.20527730097011146, 0.12493858867135176, 0.24385453982675379, -0.2637491863721085, -0.08829686548280599, 0.0072876498064336675, 0.1509054724506482, -0.0431173611712573, -0.061894303114429394, -0.2744906985770083, 0.10356769919895602, -0.2382018416516345, -0.20154941659765663, 0.09474479105901318, 0.11332844599598536, -0.04206019146281674, -0.27358764349655423, 0.0997769370205114, 0.004392167484318769, 0.20811862237234083, -0.1737541425369542, -0.2433172820299795, -0.12324794123371786, 0.01803614091369565, -0.012493706629525318, 0.12778949499975337, 0.08326666591219017, 0.005497216781670296, -0.04139994561059952, 0.3755616524894894, -0.14552032513785418, 0.06669411601291762, 0.21575397533726776, -0.2167328573004515, -0.1588560281864678, 0.1260380799304349, 0.13622863614862715, 0.17425025267423028, -0.14806422171683084, 0.04170674475177226, 0.028247147931122325, 0.21381827973959003, 0.14182535875416188, 0.028805136684914707, 0.3794202860417836, 0.12905559647306628, 0.041381199417325355, -0.014039403769183318, -0.31567795082945077, 0.006357510922330052, -0.13896091078856476, -0.13079795434519095, -0.08679165981313283, 0.04978469033354755, -0.13929324325861805, -0.05550268392458006, 0.33794197267680254, 0.07135548128711956, 0.19895294850209244, 0.051299547839099194, 0.26400068669183246, 0.0653491744004121, 0.09255404398842344, 0.11751294308945674, 0.31166562705335243, 0.167501428268022, 0.13802071259339788, -0.24041132138679838, 0.02906270628294873, 0.0075065137740845484] |
707.0959 | Classical Cepheid Pulsation Models. XI. Effects of convection and
chemical composition on the Period-Luminosity and Period-Wesenheit relations | In spite of the relevance of Classical Cepheids as primary distance
indicators, a general consensus on the dependence of the Period-Luminosity (PL)
relation on the Cepheid chemical composition has not been achieved yet. From
the theoretical point of view, our previous investigations were able to
reproduce some empirical tests for suitable assumptions on the helium to metal
relative enrichment, but those results relied on specific assumptions
concerning the Mass-Luminosity relation and the efficiency of the convective
transfer in the pulsating envelopes. In this paper, we investigate the effects
of the assumed value of the mixing length parameter l/Hp on the pulsation
properties and we release the assumption of a fixed Mass-Luminosity relation.
As a whole, we show that our pulsation relations appear fully consistent with
the observed properties of Galactic and Magellanic Cloud Cepheids, supporting
the predicted steepening and brightening of the PL relations when moving from
metal-rich to metal-poor variables. Moreover, we show that the distances
inferred by the predicted PW relations agree with recently measured
trigonometric parallaxes, whereas they suggest a correction to the values based
on the Infrared Surface Brightness technique, as already found from an
independent method. Finally, also the pulsation metal contents suggested by the
predicted PW relations appear in statistical agreement with spectroscopic
[Fe/H] measurements.
| astro-ph | in spite of the relevance of classical cepheids as primary distance indicators a general consensus on the dependence of the periodluminosity pl relation on the cepheid chemical composition has not been achieved yet from the theoretical point of view our previous investigations were able to reproduce some empirical tests for suitable assumptions on the helium to metal relative enrichment but those results relied on specific assumptions concerning the massluminosity relation and the efficiency of the convective transfer in the pulsating envelopes in this paper we investigate the effects of the assumed value of the mixing length parameter lhp on the pulsation properties and we release the assumption of a fixed massluminosity relation as a whole we show that our pulsation relations appear fully consistent with the observed properties of galactic and magellanic cloud cepheids supporting the predicted steepening and brightening of the pl relations when moving from metalrich to metalpoor variables moreover we show that the distances inferred by the predicted pw relations agree with recently measured trigonometric parallaxes whereas they suggest a correction to the values based on the infrared surface brightness technique as already found from an independent method finally also the pulsation metal contents suggested by the predicted pw relations appear in statistical agreement with spectroscopic feh measurements | [['in', 'spite', 'of', 'the', 'relevance', 'of', 'classical', 'cepheids', 'as', 'primary', 'distance', 'indicators', 'a', 'general', 'consensus', 'on', 'the', 'dependence', 'of', 'the', 'periodluminosity', 'pl', 'relation', 'on', 'the', 'cepheid', 'chemical', 'composition', 'has', 'not', 'been', 'achieved', 'yet', 'from', 'the', 'theoretical', 'point', 'of', 'view', 'our', 'previous', 'investigations', 'were', 'able', 'to', 'reproduce', 'some', 'empirical', 'tests', 'for', 'suitable', 'assumptions', 'on', 'the', 'helium', 'to', 'metal', 'relative', 'enrichment', 'but', 'those', 'results', 'relied', 'on', 'specific', 'assumptions', 'concerning', 'the', 'massluminosity', 'relation', 'and', 'the', 'efficiency', 'of', 'the', 'convective', 'transfer', 'in', 'the', 'pulsating', 'envelopes', 'in', 'this', 'paper', 'we', 'investigate', 'the', 'effects', 'of', 'the', 'assumed', 'value', 'of', 'the', 'mixing', 'length', 'parameter', 'lhp', 'on', 'the', 'pulsation', 'properties', 'and', 'we', 'release', 'the', 'assumption', 'of', 'a', 'fixed', 'massluminosity', 'relation', 'as', 'a', 'whole', 'we', 'show', 'that', 'our', 'pulsation', 'relations', 'appear', 'fully', 'consistent', 'with', 'the', 'observed', 'properties', 'of', 'galactic', 'and', 'magellanic', 'cloud', 'cepheids', 'supporting', 'the', 'predicted', 'steepening', 'and', 'brightening', 'of', 'the', 'pl', 'relations', 'when', 'moving', 'from', 'metalrich', 'to', 'metalpoor', 'variables', 'moreover', 'we', 'show', 'that', 'the', 'distances', 'inferred', 'by', 'the', 'predicted', 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707.096 | Rhodium Mossbauer Superradiance of Observable Gravitational Effect | We summarize the experimental observations of three case studies on the
long-lived rhodium Mossbauer Effect. Extraordinary observations reported in
this work manifest the open-up of photonic band gap in analogy to the
superconducting gap. Observable gravitational effect is manifested by the
superradiance of different sample orientations corresponding to the earth
gravity. These observations are of potential importance for detecting
gravitational waves and development of the two-photon gamma laser.
| quant-ph gr-qc physics.atom-ph | we summarize the experimental observations of three case studies on the longlived rhodium mossbauer effect extraordinary observations reported in this work manifest the openup of photonic band gap in analogy to the superconducting gap observable gravitational effect is manifested by the superradiance of different sample orientations corresponding to the earth gravity these observations are of potential importance for detecting gravitational waves and development of the twophoton gamma laser | [['we', 'summarize', 'the', 'experimental', 'observations', 'of', 'three', 'case', 'studies', 'on', 'the', 'longlived', 'rhodium', 'mossbauer', 'effect', 'extraordinary', 'observations', 'reported', 'in', 'this', 'work', 'manifest', 'the', 'openup', 'of', 'photonic', 'band', 'gap', 'in', 'analogy', 'to', 'the', 'superconducting', 'gap', 'observable', 'gravitational', 'effect', 'is', 'manifested', 'by', 'the', 'superradiance', 'of', 'different', 'sample', 'orientations', 'corresponding', 'to', 'the', 'earth', 'gravity', 'these', 'observations', 'are', 'of', 'potential', 'importance', 'for', 'detecting', 'gravitational', 'waves', 'and', 'development', 'of', 'the', 'twophoton', 'gamma', 'laser']] | [-0.1857557447613491, 0.2095875734110664, -0.021401205154902795, 0.05251285115189282, -0.09351357764920548, -0.06547902838107855, 0.04443195099284982, 0.40723696170265183, -0.19831766495618092, -0.3433407689170802, 0.015129870889187954, -0.32398738816161365, -0.14523220177301588, 0.20820676857564488, 0.05600704255459063, 0.049569629201227254, 0.050105500767719656, -0.060668507974375695, -0.0612077412318767, -0.1505706403267515, 0.30204191486186843, 0.11515112291774987, 0.2860838699647609, 0.050208675450823435, 0.012801515349351308, -0.027185253545587117, -0.03336558812845718, -0.016842335702248794, -0.14392824903787935, 0.07916539362529018, 0.27063452564727736, 0.04028832585797371, 0.206594361752436, -0.43331938903889644, -0.23291899103616528, 0.07480025742381044, 0.10633621449061834, 0.14144028594498248, -0.08925431089386728, -0.34808879794539227, -0.019357782845070365, -0.1313138407216791, -0.14065521254943794, 0.0013600340222611146, 0.02022164283484659, -0.03345818359486978, -0.16760676623979473, 0.056721774327075654, 0.04758412308429422, 0.059343379925635154, -0.10187809009050183, -0.09219813305775032, -0.007609286105862874, 0.03713958217378925, 0.09389821653295417, 0.002640485859421246, 0.15685615135932013, -0.10838298856705318, -0.1530696949305232, 0.3831956883180229, -0.06744258245453238, -0.047435961995849055, 0.16891147437341072, -0.2566148706109208, -0.11854189899339176, 0.13815626756781163, 0.1508433676311089, 0.09605891082216711, -0.10121560004978057, 0.031181206829976018, 0.0047701672130428694, 0.12179331578868989, 0.09575404263074126, 0.13805914579151088, 0.29310920848237243, 0.18711782018106213, -0.046607565038892275, 0.1454781934290248, -0.16455748243093052, -0.015494826058035387, -0.26709393362569456, -0.14600977549493752, -0.2100585726336302, 0.05151900343309321, -0.04344127996912849, -0.11215704061803133, 0.3992523617823334, 0.18308757675592513, 0.12158124810358618, -0.040857743536916506, 0.25783880186431546, 0.07777992493870176, 0.047550505547619915, -0.04564878964276217, 0.38181919258375485, 0.16369877128711188, 0.10237919488880674, -0.3098753512878081, 0.04400632737259216, -0.048674991915879005] |
707.0961 | A critical dimension for the stability of perfect fluid spheres of
radiation | An analysis of radiating perfect fluid models with asymptotically AdS
boundary conditions is presented. Such scenarios consist of a spherical gas of
radiation (a "star") localised near the centre of the spacetime due to the
confining nature of the AdS potential. We consider the variation of the total
mass of the star as a function of the central density, and observe that for
large enough dimensionality, the mass increases monotonically with the density.
However in the lower dimensional cases, oscillations appear, indicating that
the perfect fluid model of the star is becoming unrealistic. We find the
critical dimension separating these two regimes to be eleven.
| hep-th gr-qc | an analysis of radiating perfect fluid models with asymptotically ads boundary conditions is presented such scenarios consist of a spherical gas of radiation a star localised near the centre of the spacetime due to the confining nature of the ads potential we consider the variation of the total mass of the star as a function of the central density and observe that for large enough dimensionality the mass increases monotonically with the density however in the lower dimensional cases oscillations appear indicating that the perfect fluid model of the star is becoming unrealistic we find the critical dimension separating these two regimes to be eleven | [['an', 'analysis', 'of', 'radiating', 'perfect', 'fluid', 'models', 'with', 'asymptotically', 'ads', 'boundary', 'conditions', 'is', 'presented', 'such', 'scenarios', 'consist', 'of', 'a', 'spherical', 'gas', 'of', 'radiation', 'a', 'star', 'localised', 'near', 'the', 'centre', 'of', 'the', 'spacetime', 'due', 'to', 'the', 'confining', 'nature', 'of', 'the', 'ads', 'potential', 'we', 'consider', 'the', 'variation', 'of', 'the', 'total', 'mass', 'of', 'the', 'star', 'as', 'a', 'function', 'of', 'the', 'central', 'density', 'and', 'observe', 'that', 'for', 'large', 'enough', 'dimensionality', 'the', 'mass', 'increases', 'monotonically', 'with', 'the', 'density', 'however', 'in', 'the', 'lower', 'dimensional', 'cases', 'oscillations', 'appear', 'indicating', 'that', 'the', 'perfect', 'fluid', 'model', 'of', 'the', 'star', 'is', 'becoming', 'unrealistic', 'we', 'find', 'the', 'critical', 'dimension', 'separating', 'these', 'two', 'regimes', 'to', 'be', 'eleven']] | [-0.13691556567736413, 0.15605698861749953, -0.06130387731606052, 0.05341572272147806, -0.011053088957089044, -0.1000844208390585, 0.010113813792399708, 0.29579896632404556, -0.19390287713724233, -0.31093162605095476, 0.11075895897312356, -0.28331621892395475, -0.09264612094987007, 0.14943491861534616, -0.028317623107051035, 0.0023175524902485666, 0.019653517506750567, 0.06655182990777705, -0.07619994140806652, -0.21137729804918526, 0.37060528705229184, 0.05311542022973299, 0.28069671819962205, 0.054616588808684835, 0.07849626032901662, -0.030505299098080113, -0.011718176136769, 0.05154654839021705, -0.15631355437688485, 0.04913756489487631, 0.20678584675150063, 0.07702896840027755, 0.22712257892957755, -0.4013850913870902, -0.25415139844020207, 0.11031284331831903, 0.15010475894724506, 0.10894611018399397, -0.07143699837227663, -0.21229235950325218, 0.05042017723344976, -0.17229171510358962, -0.20071982322704224, 0.014656272332649678, 0.03883239837984244, 0.005764575709500128, -0.26597034365293526, 0.14063179443279902, 0.05749246334390981, -0.004470104094417322, -0.1205182682722807, -0.061786099924661574, -0.08533794328215577, 0.10000453338448313, 0.08562952192345014, 0.03196208985699784, 0.1513544049557476, -0.19199028564374507, -0.02123213087075523, 0.3881236117821009, -0.054924919021626314, -0.1626931940515836, 0.2665625344873184, -0.18914314292459972, -0.07443032695917368, 0.1504320184123658, 0.1724833227339245, 0.13899978129193186, -0.09064602914842822, 0.08470928809505754, -0.0259914871671104, 0.16622001057313313, 0.08750208158578192, 0.03266088717750141, 0.29044142826682046, 0.14946734248882249, 0.08888863658510326, 0.1599964392582132, -0.1241271797057596, -0.10950456853246406, -0.31108432099932715, -0.13035500917938495, -0.1571738685525599, 0.04228653381689496, -0.1554576594026349, -0.21637820313196807, 0.33095730779071647, 0.1035018578520976, 0.22296570629945822, 0.004449601746386006, 0.25871360360511714, 0.13811728577240415, 0.06370418027398132, 0.12855551848188043, 0.28309714695704835, 0.1365244858920397, 0.09371825381004739, -0.2476291094064003, -0.019641707587565872, 0.014387649080405632] |
707.0962 | Entropy fluctuation theorems in driven open systems: application to
electron counting statistics | The total entropy production generated by the dynamics of an externally
driven systems exchanging energy and matter with multiple reservoirs and
described by a master equation is expressed as the sum of three contributions,
each corresponding to a distinct mechanism for bringing the system out of
equilibrium: nonequilibrium initial conditions, external driving, and breaking
of detailed balance. We derive three integral fluctuation theorems (FTs) for
these contributions and show that they lead to the following universal
inequality: an arbitrary nonequilibrium transformation always produces a change
in the total entropy production greater or equal than the one produced if the
transformation is done very slowly (adiabatically). Previously derived
fluctuation theorems can be recovered as special cases. We show how these FTs
can be experimentally tested by performing the counting statistics of the
electrons crossing a single level quantum dot coupled to two reservoirs with
externally varying chemical potentials. The entropy probability distributions
are simulated for driving protocols ranging from the adiabatic to the sudden
switching limit.
| cond-mat.stat-mech | the total entropy production generated by the dynamics of an externally driven systems exchanging energy and matter with multiple reservoirs and described by a master equation is expressed as the sum of three contributions each corresponding to a distinct mechanism for bringing the system out of equilibrium nonequilibrium initial conditions external driving and breaking of detailed balance we derive three integral fluctuation theorems fts for these contributions and show that they lead to the following universal inequality an arbitrary nonequilibrium transformation always produces a change in the total entropy production greater or equal than the one produced if the transformation is done very slowly adiabatically previously derived fluctuation theorems can be recovered as special cases we show how these fts can be experimentally tested by performing the counting statistics of the electrons crossing a single level quantum dot coupled to two reservoirs with externally varying chemical potentials the entropy probability distributions are simulated for driving protocols ranging from the adiabatic to the sudden switching limit | [['the', 'total', 'entropy', 'production', 'generated', 'by', 'the', 'dynamics', 'of', 'an', 'externally', 'driven', 'systems', 'exchanging', 'energy', 'and', 'matter', 'with', 'multiple', 'reservoirs', 'and', 'described', 'by', 'a', 'master', 'equation', 'is', 'expressed', 'as', 'the', 'sum', 'of', 'three', 'contributions', 'each', 'corresponding', 'to', 'a', 'distinct', 'mechanism', 'for', 'bringing', 'the', 'system', 'out', 'of', 'equilibrium', 'nonequilibrium', 'initial', 'conditions', 'external', 'driving', 'and', 'breaking', 'of', 'detailed', 'balance', 'we', 'derive', 'three', 'integral', 'fluctuation', 'theorems', 'fts', 'for', 'these', 'contributions', 'and', 'show', 'that', 'they', 'lead', 'to', 'the', 'following', 'universal', 'inequality', 'an', 'arbitrary', 'nonequilibrium', 'transformation', 'always', 'produces', 'a', 'change', 'in', 'the', 'total', 'entropy', 'production', 'greater', 'or', 'equal', 'than', 'the', 'one', 'produced', 'if', 'the', 'transformation', 'is', 'done', 'very', 'slowly', 'adiabatically', 'previously', 'derived', 'fluctuation', 'theorems', 'can', 'be', 'recovered', 'as', 'special', 'cases', 'we', 'show', 'how', 'these', 'fts', 'can', 'be', 'experimentally', 'tested', 'by', 'performing', 'the', 'counting', 'statistics', 'of', 'the', 'electrons', 'crossing', 'a', 'single', 'level', 'quantum', 'dot', 'coupled', 'to', 'two', 'reservoirs', 'with', 'externally', 'varying', 'chemical', 'potentials', 'the', 'entropy', 'probability', 'distributions', 'are', 'simulated', 'for', 'driving', 'protocols', 'ranging', 'from', 'the', 'adiabatic', 'to', 'the', 'sudden', 'switching', 'limit']] | [-0.14232150544835762, 0.20489037625974918, -0.10928262334147637, 0.07384624262340367, 0.031608402639959066, -0.17734458651675872, 0.0570361968736644, 0.3108253199804687, -0.2952284269952074, -0.31852814888750963, 0.05495223621061693, -0.28093313498168504, -0.06319697093303231, 0.22866357334635473, 0.006483082718102995, 0.031184017068396012, 0.03888547870217625, 0.014803270542655478, -0.05746532391940215, -0.2186714613669072, 0.3091033982338779, 0.015082905250319252, 0.2739587033336813, 0.029264035383521608, 0.09923145014962012, -0.005525597870688547, -0.007491614646278321, 0.030076927573948826, -0.12162913689835202, 0.06618828882576164, 0.1990490747079479, 0.06487318979519786, 0.22831651289298227, -0.44306332308121704, -0.2154452193457859, 0.12138347918411124, 0.13245221855062428, 0.09981713669769691, -0.01788968248786687, -0.26587751437204354, 0.023515297263634927, -0.18003783437395185, -0.15111124492391492, -0.08848213197127211, 0.011809908370064064, 0.05917362944702759, -0.26683934239924634, 0.09480571226004307, 0.052641619142554136, 0.028995375693634605, -0.0631740266619476, -0.06585562053827965, -0.06774186671457508, 0.141799057589731, 0.02620240395719355, 0.012969686472823731, 0.2186880947118907, -0.11986259531483731, -0.10937623979636665, 0.344344427611566, -0.07769454632732298, -0.20588184978361382, 0.19194763591513037, -0.12915121198095608, -0.1177611628519089, 0.12841136337638917, 0.09559939773188847, 0.094156246344827, -0.2121607072482055, 0.024604839443583677, 0.040335751003162425, 0.1498769536868415, 0.09928541943487344, 0.021378378838187818, 0.22797019177709113, 0.08846188459658262, 0.028513598359528592, 0.19401760608606944, -0.04385160213392792, -0.16133513588698187, -0.3199211094553131, -0.12112492207353089, -0.18106098556608866, 0.11656517281944892, -0.06861637145372118, -0.11710656046105379, 0.3578788254889801, 0.11324230696808434, 0.16990734396333043, 0.01787113915761989, 0.29355956045346276, 0.22995028680783103, 0.03300112392047815, 0.05808381986888972, 0.2257173932115124, 0.13531178065970767, 0.08184278310474122, -0.2417086154659928, 0.03644876366932735, 0.03408425639411717] |
707.0963 | Randomized Benchmarking of Quantum Gates | A key requirement for scalable quantum computing is that elementary quantum
gates can be implemented with sufficiently low error. One method for
determining the error behavior of a gate implementation is to perform process
tomography. However, standard process tomography is limited by errors in state
preparation, measurement and one-qubit gates. It suffers from inefficient
scaling with number of qubits and does not detect adverse error-compounding
when gates are composed in long sequences. An additional problem is due to the
fact that desirable error probabilities for scalable quantum computing are of
the order of 0.0001 or lower. Experimentally proving such low errors is
challenging. We describe a randomized benchmarking method that yields estimates
of the computationally relevant errors without relying on accurate state
preparation and measurement. Since it involves long sequences of randomly
chosen gates, it also verifies that error behavior is stable when used in long
computations. We implemented randomized benchmarking on trapped atomic ion
qubits, establishing a one-qubit error probability per randomized pi/2 pulse of
0.00482(17) in a particular experiment. We expect this error probability to be
readily improved with straightforward technical modifications.
| quant-ph | a key requirement for scalable quantum computing is that elementary quantum gates can be implemented with sufficiently low error one method for determining the error behavior of a gate implementation is to perform process tomography however standard process tomography is limited by errors in state preparation measurement and onequbit gates it suffers from inefficient scaling with number of qubits and does not detect adverse errorcompounding when gates are composed in long sequences an additional problem is due to the fact that desirable error probabilities for scalable quantum computing are of the order of 00001 or lower experimentally proving such low errors is challenging we describe a randomized benchmarking method that yields estimates of the computationally relevant errors without relying on accurate state preparation and measurement since it involves long sequences of randomly chosen gates it also verifies that error behavior is stable when used in long computations we implemented randomized benchmarking on trapped atomic ion qubits establishing a onequbit error probability per randomized pi2 pulse of 00048217 in a particular experiment we expect this error probability to be readily improved with straightforward technical modifications | [['a', 'key', 'requirement', 'for', 'scalable', 'quantum', 'computing', 'is', 'that', 'elementary', 'quantum', 'gates', 'can', 'be', 'implemented', 'with', 'sufficiently', 'low', 'error', 'one', 'method', 'for', 'determining', 'the', 'error', 'behavior', 'of', 'a', 'gate', 'implementation', 'is', 'to', 'perform', 'process', 'tomography', 'however', 'standard', 'process', 'tomography', 'is', 'limited', 'by', 'errors', 'in', 'state', 'preparation', 'measurement', 'and', 'onequbit', 'gates', 'it', 'suffers', 'from', 'inefficient', 'scaling', 'with', 'number', 'of', 'qubits', 'and', 'does', 'not', 'detect', 'adverse', 'errorcompounding', 'when', 'gates', 'are', 'composed', 'in', 'long', 'sequences', 'an', 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'probability', 'to', 'be', 'readily', 'improved', 'with', 'straightforward', 'technical', 'modifications']] | [-0.1211426568866495, 0.1498043474513087, -0.03634913528982837, 0.08456253532360958, 0.011459361273119901, -0.25278696377127136, 0.11338340319759611, 0.41745132295885584, -0.23414491012098862, -0.322239936465029, 0.12512441199646424, -0.2058657989159206, -0.09243002647353633, 0.27822086801829204, -0.13256912704641613, 0.14930057583202783, 0.13830130168053772, -0.010070613852783955, -0.0962417413302119, -0.2813141438227331, 0.21806988544419284, 0.08034197856725839, 0.28704400572946276, 0.003057025077466208, 0.10510974018681017, 0.0016806016568667614, 0.022983034834736488, -0.023909216780589056, -0.06372793925786008, 0.09186594788391901, 0.27525471674296287, 0.12366900895210495, 0.2840873822467504, -0.4366923223177974, -0.15059248901837105, 0.1068319616005193, 0.14585405446148916, 0.22160010140614358, -0.05685050176983638, -0.2759741416525935, 0.08360187217876555, 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0.17332957386023845, 0.14418973475387628, 0.0356150855269324, 0.36130235043794406, 0.113873009587853, 0.07064118731260341, 0.09119237669753832, 0.20904139507879185, 0.11427960321332768, 0.01117361349483522, -0.2185889980621421, 0.14535537973215168, 0.02714942381231135] |
707.0964 | 4d/5d Correspondence for the Black Hole Potential and its Critical
Points | We express the d=4, N=2 black hole effective potential for cubic holomorphic
F functions and generic dyonic charges in terms of d=5 real special geometry
data. The 4d critical points are computed from the 5d ones, and their relation
is elucidated. For symmetric spaces, we identify the BPS and non-BPS classes of
attractors and the respective entropies. These are related by simple formulae,
interpolating between four and five dimensions, depending on the volume modulus
and on the 4d magnetic (or electric) charges, and holding true also for generic
field configurations and for non-symmetric cubic geometries.
| hep-th | we express the d4 n2 black hole effective potential for cubic holomorphic f functions and generic dyonic charges in terms of d5 real special geometry data the 4d critical points are computed from the 5d ones and their relation is elucidated for symmetric spaces we identify the bps and nonbps classes of attractors and the respective entropies these are related by simple formulae interpolating between four and five dimensions depending on the volume modulus and on the 4d magnetic or electric charges and holding true also for generic field configurations and for nonsymmetric cubic geometries | [['we', 'express', 'the', 'd4', 'n2', 'black', 'hole', 'effective', 'potential', 'for', 'cubic', 'holomorphic', 'f', 'functions', 'and', 'generic', 'dyonic', 'charges', 'in', 'terms', 'of', 'd5', 'real', 'special', 'geometry', 'data', 'the', '4d', 'critical', 'points', 'are', 'computed', 'from', 'the', '5d', 'ones', 'and', 'their', 'relation', 'is', 'elucidated', 'for', 'symmetric', 'spaces', 'we', 'identify', 'the', 'bps', 'and', 'nonbps', 'classes', 'of', 'attractors', 'and', 'the', 'respective', 'entropies', 'these', 'are', 'related', 'by', 'simple', 'formulae', 'interpolating', 'between', 'four', 'and', 'five', 'dimensions', 'depending', 'on', 'the', 'volume', 'modulus', 'and', 'on', 'the', '4d', 'magnetic', 'or', 'electric', 'charges', 'and', 'holding', 'true', 'also', 'for', 'generic', 'field', 'configurations', 'and', 'for', 'nonsymmetric', 'cubic', 'geometries']] | [-0.135923628146319, 0.13095150692059082, 0.03629508323624338, 0.1430454661444712, -0.03803574503261571, -0.1667337328195572, -0.0009182962343881005, 0.3326201776777835, -0.14971554342069124, -0.2801307755179311, 0.09337410072820555, -0.3191429888756063, -0.17463185981063073, 0.17956188862996275, -0.019628856350716792, 0.03045404171080966, -0.07990729349518293, 0.06711198169934122, -0.1612362401461915, -0.26766374071961957, 0.40555884376670676, -0.07280452368094732, 0.2655031447347842, 0.05973065050416871, 0.06468876640336882, 0.006914580549652639, 0.022387114446303855, 0.052138564122938796, -0.15547091584456593, 0.15200754924628296, 0.20714516438739863, 0.05845121812369478, 0.08015843803357137, -0.4352347154954546, -0.15136004522638885, 0.11891185349637741, 0.12385552026037323, 0.11323980566016154, -0.0358837583911066, -0.25795327989678635, 0.05089282320910379, -0.11203221266010874, -0.18713368531806687, -0.15723598603845426, 0.08553246501955743, 0.011818258317285462, -0.26368513320523657, 0.0869056028173011, 0.025018467249250727, 0.05042576413405569, -0.1519561233391103, -0.12293355982799671, -0.1294257538491174, 0.1413663502414956, 0.0904594608116895, 0.027242734381242802, 0.10979387598406327, -0.14164794962363023, -0.12110726645608481, 0.32671042219980767, 0.0036967772010125612, -0.27392315105780174, 0.17848544269800187, -0.1631255829902856, -0.11159197562986886, 0.08120221126898143, 0.13338890283515578, 0.20728192639194037, -0.09542632794105693, 0.20096612852556925, 0.011673914087250045, 0.09530153437885211, 0.15560040834825486, 0.03556659962295702, 0.28676096162464665, 0.012732763764889616, 0.007048488089716748, 0.17829272852365025, -0.020578588030644152, -0.13598270241054705, -0.3570562650890727, -0.1328333156330413, -0.13961087382447562, 0.0794724240899086, -0.2270423028605843, -0.200554055845561, 0.37920737337124977, 0.021636645013074343, 0.17041216614705168, 0.0462805727986913, 0.16337242498993873, 0.0852452788403944, 0.060967385844866696, 0.05927144239999746, 0.23752060295327715, 0.1209140024711623, 0.08608737819947572, -0.21310287597589195, -0.1047690276154562, 0.18496178806220231] |
707.0965 | Hybridisation in two-band Hubbard models with different bandwidths | We investigate the orbital selective Mott transition in two-band Hubbard
models by means of the Gutzwiller variational theory. In particular, we study
the influence of a finite local hybridisation between electrons in different
orbitals on the metal-insulator transition.
| cond-mat.str-el | we investigate the orbital selective mott transition in twoband hubbard models by means of the gutzwiller variational theory in particular we study the influence of a finite local hybridisation between electrons in different orbitals on the metalinsulator transition | [['we', 'investigate', 'the', 'orbital', 'selective', 'mott', 'transition', 'in', 'twoband', 'hubbard', 'models', 'by', 'means', 'of', 'the', 'gutzwiller', 'variational', 'theory', 'in', 'particular', 'we', 'study', 'the', 'influence', 'of', 'a', 'finite', 'local', 'hybridisation', 'between', 'electrons', 'in', 'different', 'orbitals', 'on', 'the', 'metalinsulator', 'transition']] | [-0.14438440151724008, 0.20160603317383088, -0.019850600418928815, 0.13026662308134532, 0.01629418791516831, -0.1100033830826808, 0.16604503870047138, 0.39499303664227847, -0.24961252664951117, -0.21059250978654936, -0.09492896653797575, -0.3210592856630683, -0.16727191166960678, 0.047522232500150016, 0.06338264104469042, -0.014119413926413185, -0.05022263699548172, -0.10759374504222681, -0.23806380294263363, -0.17202245855801984, 0.34422462569598694, -0.02844229722885709, 0.27530005064449814, 0.12297181248370755, -0.0048734739569849085, 0.07440198845181026, 0.1752273821222939, 0.009029877592662447, -0.2153996051975379, 0.06445288924059193, 0.253698377151331, -0.07018556711754124, 0.3147404712477797, -0.4796673143772702, -0.24531183450629837, -0.0293749982711712, 0.1263175514820767, 0.18265063771487852, -0.03473365884948228, -0.3423305650878894, -0.05626449726620003, -0.24763445913987725, -0.07570901038860411, -0.10300308774764601, -0.048056341854757385, 0.022485220614869735, -0.2460268749120204, 0.12464126836704581, 0.022235487391682046, 0.17081819119324027, -0.13607919211254307, -0.06559051377208609, -0.070202375005465, 0.055625101710718716, 0.029415812073765618, 0.02132811014368934, 0.07040822890734202, -0.08605503794541092, -0.09907948032119557, 0.3796102465375474, -0.08689386966197114, -0.12277968223574326, 0.20295595041917344, -0.21783311930975238, -0.0880245023505076, 0.11096882317705374, 0.12486263837567285, 0.12443715882928748, -0.14710224653888299, 0.13842177584669307, -0.05029271444992015, 0.12286640174294773, -0.05002927353703662, 0.05328719180665518, 0.22104106549369662, 0.20769255566043093, 0.06321982233049839, 0.18109944046131873, -0.13167596120068706, -0.16499023094136073, -0.2169702206983378, -0.15562445557627239, -0.29784189169540215, 0.0030721744191587754, -0.07910799234186446, -0.2300497921624858, 0.4711389414672005, 0.20799592410606382, 0.1578869214036355, -0.09953944630136616, 0.16133074670735942, 0.17760310721534647, -0.03509300721711234, -0.005616242740009176, 0.24008317399573953, 0.16146271911719323, 0.001103232528916315, -0.3638047606157335, 0.029497957984475714, 0.17262194298305794] |
707.0966 | Indecomposable representations of quivers on infinite-dimensional
Hilbert spaces | We study indecomposable representations of quivers on separable
infinite-dimensional Hilbert spaces by bounded operators. We consider a
complement of Gabriel's theorem for these representations. Let $\Gamma$ be a
finite, connected quiver. If its underlying undirected graph contains one of
extended Dynkin diagrams $\tilde{A_n} (n \geq 0)$, $\tilde{D_n} (n \geq 4)$,
$\tilde{E_6}$,$\tilde{E_7}$ and $\tilde{E_8}$, then there exists an
indecomposable representation of $\Gamma$ on separable infinite-dimensional
Hilbert spaces.
| math.OA math.RT | we study indecomposable representations of quivers on separable infinitedimensional hilbert spaces by bounded operators we consider a complement of gabriels theorem for these representations let gamma be a finite connected quiver if its underlying undirected graph contains one of extended dynkin diagrams tildea_n n geq 0 tilded_n n geq 4 tildee_6tildee_7 and tildee_8 then there exists an indecomposable representation of gamma on separable infinitedimensional hilbert spaces | [['we', 'study', 'indecomposable', 'representations', 'of', 'quivers', 'on', 'separable', 'infinitedimensional', 'hilbert', 'spaces', 'by', 'bounded', 'operators', 'we', 'consider', 'a', 'complement', 'of', 'gabriels', 'theorem', 'for', 'these', 'representations', 'let', 'gamma', 'be', 'a', 'finite', 'connected', 'quiver', 'if', 'its', 'underlying', 'undirected', 'graph', 'contains', 'one', 'of', 'extended', 'dynkin', 'diagrams', 'tildea_n', 'n', 'geq', '0', 'tilded_n', 'n', 'geq', '4', 'tildee_6tildee_7', 'and', 'tildee_8', 'then', 'there', 'exists', 'an', 'indecomposable', 'representation', 'of', 'gamma', 'on', 'separable', 'infinitedimensional', 'hilbert', 'spaces']] | [-0.15676433671838963, 0.18736031655549035, -0.06721588138562555, 0.0794102396744375, -0.1295721479369184, -0.23008585491289313, -0.027101130353716703, 0.403769186597604, -0.3537151229066344, -0.11347811257896515, 0.10100087066395924, -0.26947357666033966, -0.13324434188588594, 0.12286950622398693, -0.13770270874867072, -0.11258009287546604, 0.1040281395929364, 0.14908391283108638, -0.09780650451206244, -0.29341149607968803, 0.4323485226728595, -0.19036011672936953, 0.11795799675075194, 0.016983322605777246, 0.16761290396635348, 0.10597015306926691, -0.034359270262603575, -0.041493960874728286, -0.18830098598622358, 0.12298360657520019, 0.4103660404109038, 0.12091553221241785, 0.22664881259059677, -0.31958754343482165, -0.11994759117772516, 0.36629478121892767, 0.21504526755844172, -0.10185310579836368, 0.048896844294638586, -0.3107668575759117, 0.0563403658533039, -0.20176128037273883, -0.17131604280752633, -0.06533871556703862, 0.15840377056827912, -0.06804310347383412, -0.2656394166442064, -0.039133640238119716, 0.12371255549100729, 0.10470439788813775, -0.10453229802123343, -0.1673918868200137, -0.09995429821742269, 0.057472030367129126, -0.17591296909556078, 0.08882006960383688, 0.014482294023036957, -0.05764154670357059, -0.19098065934645442, 0.2755270600462189, -0.0031613921263040257, -0.27203707730827426, 0.11157535562435021, -0.14995781236972947, -0.20850636489116228, 0.11982353707918754, 0.08722425014353716, 0.15180968885811474, 0.02843221565977169, 0.32584090613885425, -0.17569752799776883, 0.060130133053574425, 0.08695489013424286, 0.02540614908704391, 0.05515228762076451, 0.11498252925677942, 0.0922050208498079, 0.15790604983205692, 0.10113439742260827, 0.03449136817003959, -0.39999385355756834, -0.12371273996272626, -0.1646663021367903, 0.19092161721335008, -0.2270683685458677, -0.18192382762924983, 0.3119475196187313, 0.010725000099493906, 0.1552664036947625, 0.16829560406935903, 0.13450901427915177, 0.05495233406814245, 0.0023793026948204406, 0.11132339123063363, 0.011721193876404029, 0.2903840607497841, -0.11712071111855599, -0.10290855108402096, -0.06077676740510819, 0.27518051786845227] |
707.0967 | An infrared view of the EXor variables: on the case of V1118 ORI | We investigate the relationship between the IR observed properties of the
EXor variables and the mechanisms active during their evolutionary stage. To
this aim, we have constructed a catalog of all the IR (1-100 micron)
photometric and spectroscopic observations appearing during the last 30 years
in the literature. New results of our monitoring program based on near- and
mid-IR photometry and near-IR spectroscopy and polarimetry of one object (V1118
Ori) are presented, complementing those given in a previous paper and related
to a different activity period. Our catalog indicates how the database
accumulated so far is inadequate for any statistical study of the EXor events.
Nevertheless, all the observational evidence can be interpreted into a coherent
scheme. The sources that present the largest brightness variations tend to
become bluer while brightening. The scenario of disk accretion based on viscous
friction between particles agrees with the observations. The new results on
V1118 Ori confirm such a general view. The striking novelty is represented by a
near-IR spectrum of V1118 Ori taken 1 yr after the last monitored outburst: any
emission line previously detected has now totally disappeared at our
sensitivity. For the same source, mid-IR photometry is provided here for the
first time and allows us to construct a meaningful SED. The first polarimetric
data show that V1118 Ori is intrinsically polarized and its spotted, magnetized
surface becomes recognizable during the less active phases.
| astro-ph | we investigate the relationship between the ir observed properties of the exor variables and the mechanisms active during their evolutionary stage to this aim we have constructed a catalog of all the ir 1100 micron photometric and spectroscopic observations appearing during the last 30 years in the literature new results of our monitoring program based on near and midir photometry and nearir spectroscopy and polarimetry of one object v1118 ori are presented complementing those given in a previous paper and related to a different activity period our catalog indicates how the database accumulated so far is inadequate for any statistical study of the exor events nevertheless all the observational evidence can be interpreted into a coherent scheme the sources that present the largest brightness variations tend to become bluer while brightening the scenario of disk accretion based on viscous friction between particles agrees with the observations the new results on v1118 ori confirm such a general view the striking novelty is represented by a nearir spectrum of v1118 ori taken 1 yr after the last monitored outburst any emission line previously detected has now totally disappeared at our sensitivity for the same source midir photometry is provided here for the first time and allows us to construct a meaningful sed the first polarimetric data show that v1118 ori is intrinsically polarized and its spotted magnetized surface becomes recognizable during the less active phases | [['we', 'investigate', 'the', 'relationship', 'between', 'the', 'ir', 'observed', 'properties', 'of', 'the', 'exor', 'variables', 'and', 'the', 'mechanisms', 'active', 'during', 'their', 'evolutionary', 'stage', 'to', 'this', 'aim', 'we', 'have', 'constructed', 'a', 'catalog', 'of', 'all', 'the', 'ir', '1100', 'micron', 'photometric', 'and', 'spectroscopic', 'observations', 'appearing', 'during', 'the', 'last', '30', 'years', 'in', 'the', 'literature', 'new', 'results', 'of', 'our', 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707.0968 | Hole Transport in Impurity Band and Valence Bands Studied in Moderately
Doped GaAs:Mn Single Crystals | We report on simple experiment on temperature-dependent Hall effect
measurements in GaMnAs single crystalline samples with Mn composition estimated
at 0.05-0.3 at.% which is slightly below the onset of ferromagnetism. Impurity
band transport is visible for Mn compositions of ~0.3 at.% as a clear metallic
behaviour. The results show interesting situation that the Metal-Insulator
transition in GaAs:Mn occurs within the impurity band which is separated from
the valence bands for Mn concentrations studied here. We also discuss on the
equilibrium high temperature solubility limit of Mn in GaAs, unknown precisely
in the literature.
| cond-mat.mtrl-sci | we report on simple experiment on temperaturedependent hall effect measurements in gamnas single crystalline samples with mn composition estimated at 00503 at which is slightly below the onset of ferromagnetism impurity band transport is visible for mn compositions of 03 at as a clear metallic behaviour the results show interesting situation that the metalinsulator transition in gaasmn occurs within the impurity band which is separated from the valence bands for mn concentrations studied here we also discuss on the equilibrium high temperature solubility limit of mn in gaas unknown precisely in the literature | [['we', 'report', 'on', 'simple', 'experiment', 'on', 'temperaturedependent', 'hall', 'effect', 'measurements', 'in', 'gamnas', 'single', 'crystalline', 'samples', 'with', 'mn', 'composition', 'estimated', 'at', '00503', 'at', 'which', 'is', 'slightly', 'below', 'the', 'onset', 'of', 'ferromagnetism', 'impurity', 'band', 'transport', 'is', 'visible', 'for', 'mn', 'compositions', 'of', '03', 'at', 'as', 'a', 'clear', 'metallic', 'behaviour', 'the', 'results', 'show', 'interesting', 'situation', 'that', 'the', 'metalinsulator', 'transition', 'in', 'gaasmn', 'occurs', 'within', 'the', 'impurity', 'band', 'which', 'is', 'separated', 'from', 'the', 'valence', 'bands', 'for', 'mn', 'concentrations', 'studied', 'here', 'we', 'also', 'discuss', 'on', 'the', 'equilibrium', 'high', 'temperature', 'solubility', 'limit', 'of', 'mn', 'in', 'gaas', 'unknown', 'precisely', 'in', 'the', 'literature']] | [-0.09932742647386046, 0.21053097817811475, -0.001372086577698268, 0.03469957878828169, 0.045380611771277043, -0.15662020030781948, 0.14527996968958648, 0.4382382417998968, -0.2517651543744104, -0.31672437631234684, 0.0126377597541338, -0.3561189439528251, -0.07889953847493857, 0.14611317307477997, 0.025831790127721365, -0.05456777603228724, -0.01970051719696932, -0.02364991265299019, -0.14880074610838526, -0.19928557138078876, 0.30117872948207525, 0.022057448258443225, 0.2766039921621722, 0.12191233838037137, 0.005454980167410066, 0.00449792960638641, 0.17426469859977564, 0.04439203544289515, -0.19714763577095226, 0.002315306455217382, 0.2844971129069886, -0.13282802002504468, 0.15532551208130455, -0.39385986192933015, -0.19077065661148998, -0.04009737483706446, 0.12231150468791364, 0.12302433316826179, -0.09739661583788342, -0.2305910327341608, 0.07735561916945122, -0.07031953263206668, -0.10870662633009175, -0.007937555182574978, 0.01185668948837506, -0.06395873479965714, -0.23192801683019565, 0.14168380857013435, 0.05961083872519153, 0.12827602134997484, -0.1274994605030584, -0.18391201076328115, -0.0835177759960374, 0.057375697659388665, 0.02271899051453558, 0.006954398446826524, 0.18951451263680893, -0.05724547705262579, -0.07625128049403429, 0.3506169834284372, -0.09380918032219333, -0.024374974681244742, 0.18031969575852316, -0.27721857892409446, -0.13422613721641322, 0.19282211157022625, 0.11455852133021639, 0.11768026841035793, -0.11688053798210878, 0.10698299851488843, -0.039297428227440326, 0.19558681268244982, 0.055985654406349665, 0.06717231698454387, 0.24925097507006558, 0.2195412262833567, 0.05016474251044534, 0.1114121806126849, -0.13827404772652493, -0.018740467136345244, -0.21918836702412414, -0.1528268106186622, -0.26145444570049164, 0.07444203870310899, -0.07314000517049785, -0.17381368986310897, 0.3627552185007321, 0.1387197290677377, 0.1924421939077557, -0.04378030661203127, 0.20707314830493703, 0.10915776530170553, 0.016065413302551675, 0.016999306012025123, 0.26139699988147264, 0.14351429012904485, 0.16153534036630424, -0.2736509962718413, 0.11997275404952547, -0.0033995791267032826] |
707.0969 | Resource Allocation for Wireless Fading Relay Channels: Max-Min Solution | As a basic information-theoretic model for fading relay channels, the
parallel relay channel is first studied, for which lower and upper bounds on
the capacity are derived. For the parallel relay channel with degraded
subchannels, the capacity is established, and is further demonstrated via the
Gaussian case, for which the synchronized and asynchronized capacities are
obtained. The capacity achieving power allocation at the source and relay nodes
among the subchannels is characterized. The fading relay channel is then
studied, for which resource allocations that maximize the achievable rates are
obtained for both the full-duplex and half-duplex cases. Capacities are
established for fading relay channels that satisfy certain conditions.
| cs.IT math.IT | as a basic informationtheoretic model for fading relay channels the parallel relay channel is first studied for which lower and upper bounds on the capacity are derived for the parallel relay channel with degraded subchannels the capacity is established and is further demonstrated via the gaussian case for which the synchronized and asynchronized capacities are obtained the capacity achieving power allocation at the source and relay nodes among the subchannels is characterized the fading relay channel is then studied for which resource allocations that maximize the achievable rates are obtained for both the fullduplex and halfduplex cases capacities are established for fading relay channels that satisfy certain conditions | [['as', 'a', 'basic', 'informationtheoretic', 'model', 'for', 'fading', 'relay', 'channels', 'the', 'parallel', 'relay', 'channel', 'is', 'first', 'studied', 'for', 'which', 'lower', 'and', 'upper', 'bounds', 'on', 'the', 'capacity', 'are', 'derived', 'for', 'the', 'parallel', 'relay', 'channel', 'with', 'degraded', 'subchannels', 'the', 'capacity', 'is', 'established', 'and', 'is', 'further', 'demonstrated', 'via', 'the', 'gaussian', 'case', 'for', 'which', 'the', 'synchronized', 'and', 'asynchronized', 'capacities', 'are', 'obtained', 'the', 'capacity', 'achieving', 'power', 'allocation', 'at', 'the', 'source', 'and', 'relay', 'nodes', 'among', 'the', 'subchannels', 'is', 'characterized', 'the', 'fading', 'relay', 'channel', 'is', 'then', 'studied', 'for', 'which', 'resource', 'allocations', 'that', 'maximize', 'the', 'achievable', 'rates', 'are', 'obtained', 'for', 'both', 'the', 'fullduplex', 'and', 'halfduplex', 'cases', 'capacities', 'are', 'established', 'for', 'fading', 'relay', 'channels', 'that', 'satisfy', 'certain', 'conditions']] | [-0.2956099424045533, 0.06077967976927067, 0.02072484376495359, 0.0217781019476846, -0.0392949287111319, -0.38803013120519203, 0.17405295170869473, 0.40925329936564797, -0.2811897014207379, -0.1805685020690025, 0.13622842896061396, -0.22777698910795152, -0.09544031869370008, 0.17682575303155723, -0.08158581828077634, 0.061699075042270124, 0.030497689056641387, 0.0934119365453996, 0.02450281027187076, -0.2967416269842673, 0.2942409995960555, 0.17460961708867992, 0.3822960677487707, 0.039425376811306236, 0.061792092686691495, -0.007728494031147825, -0.010448725066251226, -0.08660071775309713, -0.14279577285991832, 0.010799910916291454, 0.34202543601255725, 0.1543745431247064, 0.16687059987991773, -0.3712305941848576, -0.31748269547501373, 0.0725610982928494, 0.17034824083869657, 0.005514151338839265, -0.009910087914451852, -0.25617340110518316, 0.14528409005315215, -0.2074005604825086, 0.0653633837312184, 0.05026656880767809, -0.08313306537025643, 0.08053939636900193, -0.4292240863562458, 0.04026828257634339, 0.005693619493050156, 0.012874989571746145, -0.0901405604327684, -0.18481644587505056, 0.004951038052914319, 0.21762094120182424, 0.017356324931218598, -0.06647120381239802, 0.046799796052962646, -0.1241432041429949, -0.10696189523743535, 0.3019202678934326, 0.03876758577475643, -0.24156303503723056, 0.12056865331369745, -0.08489547396958289, -0.06077776536673169, 0.15286282748328867, 0.22625675722008087, 0.05373881640844047, -0.23266274910161477, 0.007872418410476745, -0.033632292114715606, 0.0801744526553968, 0.11798149568063242, 0.19428757748014672, 0.09919225239125942, 0.13322068023046962, 0.1397115146877089, 0.2200740890262683, -0.1381403640736136, -0.17204586645864225, -0.25659057875681257, -0.1190421901712263, -0.2582177293111777, -0.016032830227804544, -0.09892332030358375, 0.00026836433486702543, 0.3083215544897097, 0.049283554980151904, 0.07287461287126427, 0.18986499314174848, 0.3944107366518842, 0.162323023038442, 0.03214543323998374, 0.24629883509974373, 0.24896484188718238, 0.19758559592419597, 0.08662040085807719, -0.19078703254193966, 0.10929194234982047, -0.05623451477192618] |
707.097 | Non-abelian free groups admit non-essentially free actions on rooted
trees | We show that every countable non-abelian free group $\Gamma $ admits a
spherically transitive action on a rooted tree $T$ such that the action of
$\Gamma $ on the boundary of $T$ is not essentially free. This reproves a
result of Bergeron and Gaboriau.
The existence of such an action answers a question of Grigorchuk,
Nekrashevich and Sushchanskii.
| math.GR math.CO | we show that every countable nonabelian free group gamma admits a spherically transitive action on a rooted tree t such that the action of gamma on the boundary of t is not essentially free this reproves a result of bergeron and gaboriau the existence of such an action answers a question of grigorchuk nekrashevich and sushchanskii | [['we', 'show', 'that', 'every', 'countable', 'nonabelian', 'free', 'group', 'gamma', 'admits', 'a', 'spherically', 'transitive', 'action', 'on', 'a', 'rooted', 'tree', 't', 'such', 'that', 'the', 'action', 'of', 'gamma', 'on', 'the', 'boundary', 'of', 't', 'is', 'not', 'essentially', 'free', 'this', 'reproves', 'a', 'result', 'of', 'bergeron', 'and', 'gaboriau', 'the', 'existence', 'of', 'such', 'an', 'action', 'answers', 'a', 'question', 'of', 'grigorchuk', 'nekrashevich', 'and', 'sushchanskii']] | [-0.19948202587797173, 0.20626080887892126, -0.10956389190063678, 0.03541598888114095, -0.12041732810238111, -0.09745770293687071, 0.08085236917915088, 0.3448926857007401, -0.28288923682911055, -0.19645211762482567, 0.08339014362510559, -0.2706269923863666, -0.1517545354685613, 0.17552990803233115, -0.13590338368833596, -0.04294266070272507, 0.08183731629313636, 0.19759449037623458, -0.010715164867828466, -0.2503328703210822, 0.37338348446480396, -0.029056882510693476, 0.18295893631875515, 0.10394253360573202, 0.15085637424739876, 0.03592928927017575, -0.02959211973939091, 0.036346695153042674, -0.16462853116146497, 0.04187497322085879, 0.216724556837497, 0.1078507874792974, 0.23477670688381685, -0.27562525323498577, -0.20169363905526033, 0.165098848611316, 0.06877704796248249, 0.006789900412383888, -0.058927684976619536, -0.2900961481167802, 0.11266091652214527, -0.18528480219122553, -0.1161306848849303, -0.009942850397367562, 0.0894839761313051, -0.07725990310843502, -0.2460372898411671, 0.002299934725410172, 0.19979557709302753, 0.07228352803005171, -0.07350331988917398, -0.0450262983545794, -0.06070576892567, 0.11269030094678913, 0.01787039376046908, 0.11538725901794221, 0.05428118118912347, -0.11358269499032758, -0.16736789613163897, 0.40419602196197957, -0.11337679519783705, -0.18387166382412293, 0.1809791709030313, -0.15384443215693214, -0.21572208192290937, 0.08849894183887434, 0.0514204320830426, 0.20835359331353434, -0.05804295678223882, 0.2551530245504442, -0.19805910747423436, 0.11398984936697941, 0.1419126266513818, -0.08899347286205739, 0.10728340969321185, 0.10607811480544374, 0.1289559514760705, 0.09882421884685755, 0.07820854791290392, 0.03289096543864746, -0.36119810079357456, -0.1576868613982307, -0.13399269710394687, 0.17935805557005682, -0.08326663511304234, -0.272309878042766, 0.36061585757748355, 0.06219519327195095, 0.15864050891416678, 0.1015096956024146, 0.13703404245565512, 0.057549215138091574, 0.0033182526739048107, 0.13919846373443892, 0.033917839672150354, 0.16814337216783315, -0.08254448802992036, -0.22691152806302334, -0.01408515903832657, 0.2376748372334987] |
707.0971 | Extension matrix representation theory of light beams and the Beauregard
effect | It is shown that a light beam in free space is representable by an integral
over a vectorial angular spectrum that is expressed in terms of an extension
matrix, which describes the vectorial nature of the beam. A symmetry axis of
the extension matrix is identified. When it is neither perpendicular nor
parallel to the propagation axis, we arrive at such beams that show us for the
first time the observable evidence of the Beauregard effect. The advanced
representation theory may yield any kinds of light beam, and the uncovered
Beauregard effect would play its unique roles in applications.
| physics.optics | it is shown that a light beam in free space is representable by an integral over a vectorial angular spectrum that is expressed in terms of an extension matrix which describes the vectorial nature of the beam a symmetry axis of the extension matrix is identified when it is neither perpendicular nor parallel to the propagation axis we arrive at such beams that show us for the first time the observable evidence of the beauregard effect the advanced representation theory may yield any kinds of light beam and the uncovered beauregard effect would play its unique roles in applications | [['it', 'is', 'shown', 'that', 'a', 'light', 'beam', 'in', 'free', 'space', 'is', 'representable', 'by', 'an', 'integral', 'over', 'a', 'vectorial', 'angular', 'spectrum', 'that', 'is', 'expressed', 'in', 'terms', 'of', 'an', 'extension', 'matrix', 'which', 'describes', 'the', 'vectorial', 'nature', 'of', 'the', 'beam', 'a', 'symmetry', 'axis', 'of', 'the', 'extension', 'matrix', 'is', 'identified', 'when', 'it', 'is', 'neither', 'perpendicular', 'nor', 'parallel', 'to', 'the', 'propagation', 'axis', 'we', 'arrive', 'at', 'such', 'beams', 'that', 'show', 'us', 'for', 'the', 'first', 'time', 'the', 'observable', 'evidence', 'of', 'the', 'beauregard', 'effect', 'the', 'advanced', 'representation', 'theory', 'may', 'yield', 'any', 'kinds', 'of', 'light', 'beam', 'and', 'the', 'uncovered', 'beauregard', 'effect', 'would', 'play', 'its', 'unique', 'roles', 'in', 'applications']] | [-0.15955220571498038, 0.13511817236554413, -0.12687611919498504, 0.057589764764410155, -0.09325650822949794, -0.07773341763896321, -0.04370750154420319, 0.40083153498819984, -0.3001217527521981, -0.26349388224759485, 0.07720598357910705, -0.24905090662180399, -0.1463528216788263, 0.20382271699532115, -0.00111135466005465, -0.011087689464653118, 0.0394220374315281, 0.042556263355895727, -0.05370112222788686, -0.17952477700556768, 0.2779727019422518, 0.06629460727363223, 0.28342983042209813, 0.061270319426319365, 0.13943233015486087, 0.08227934876946036, -0.013592746894279814, 0.004259423545333604, -0.06014638210550089, 0.07385363378162223, 0.20950084810634378, 0.11073150159320747, 0.22948063521956405, -0.40060202017275975, -0.20787909788766293, 0.12677363073923673, 0.14358553712402067, 0.09301458899698437, -0.05727659388812202, -0.22943092606058627, 0.055556462828370956, -0.12362906920977614, -0.2001408953102061, -0.04018338182188495, 0.02495869660204408, -0.017662729785749405, -0.27353933257888063, 0.019921973829493962, 0.08027468120321782, 0.03800203373674491, -0.037861683973901425, -0.09357453394984601, -0.02236124589531259, 0.07311949271131354, 0.05659789918108157, 0.06890633521187636, 0.09563295393264994, -0.09726401190790865, -0.1025811650536277, 0.39483484607001745, -0.04510882353137313, -0.2108670063504968, 0.12301590742844373, -0.1551656134557708, -0.09319436160678213, 0.15847225869168538, 0.1398353399426648, 0.09746985981767678, -0.10893789126441904, 0.09816944993258632, -0.057680595572097135, 0.184577656298349, 0.07088071641258219, 0.05524698935091646, 0.23848647873547643, 0.11160723325758796, 0.06998169270692149, 0.11017057166030311, -0.06878080545463647, -0.07954968369067317, -0.33358930042860185, -0.2000534118886924, -0.18019548024173188, 0.03941582783429314, -0.03942948195014991, -0.14267919771461465, 0.3885389486976871, 0.11232821938388915, 0.15239957916653818, -0.017525580277751116, 0.2630396588620814, 0.12909646558039117, 0.09719272926355703, 0.05625344199043783, 0.2498053021992397, 0.1574994573825876, 0.09629700859100793, -0.2251357192860333, 0.08366535584479946, 0.024305548213158893] |
707.0972 | Secure Direct Communication based on Ping-pong Protocol | Communication security with quantum key distribution has been one of the
important features of quantum information theory. A novel concept of secured
direct communication has been the next step forward without the need to
establish any shared secret key. The present paper is based on the ping-pong
protocol with three particle GHZ state as the initial state where the receiver
can simultaneously receive information from two parties. Possible eavesdropping
on the travelling particle has been examined.
| quant-ph | communication security with quantum key distribution has been one of the important features of quantum information theory a novel concept of secured direct communication has been the next step forward without the need to establish any shared secret key the present paper is based on the pingpong protocol with three particle ghz state as the initial state where the receiver can simultaneously receive information from two parties possible eavesdropping on the travelling particle has been examined | [['communication', 'security', 'with', 'quantum', 'key', 'distribution', 'has', 'been', 'one', 'of', 'the', 'important', 'features', 'of', 'quantum', 'information', 'theory', 'a', 'novel', 'concept', 'of', 'secured', 'direct', 'communication', 'has', 'been', 'the', 'next', 'step', 'forward', 'without', 'the', 'need', 'to', 'establish', 'any', 'shared', 'secret', 'key', 'the', 'present', 'paper', 'is', 'based', 'on', 'the', 'pingpong', 'protocol', 'with', 'three', 'particle', 'ghz', 'state', 'as', 'the', 'initial', 'state', 'where', 'the', 'receiver', 'can', 'simultaneously', 'receive', 'information', 'from', 'two', 'parties', 'possible', 'eavesdropping', 'on', 'the', 'travelling', 'particle', 'has', 'been', 'examined']] | [-0.1765035559778641, 0.0915179798306015, -0.12558285765178306, 0.005503673212124819, -0.06640057647478227, -0.28742791466586487, 0.046779153755204264, 0.3468609884332277, -0.2550550462236922, -0.29422818202721446, 0.11807203620647717, -0.26337652027263847, -0.08963203270564248, 0.1372576852016592, -0.07162362196188617, 0.1601831090826492, 0.030321841838916664, 0.0935248079170522, 0.013962994102161917, -0.2562013865283102, 0.3588043286673431, 0.06554058146062552, 0.32984176613880617, 0.05922143248838103, 0.13827479851285093, 0.0363698429428041, -0.03897169245848138, -0.08498563698345893, -0.10797988080517634, 0.1029442494894427, 0.27781270140487896, 0.18526477895150156, 0.35714577770742933, -0.4416778328044242, -0.2583067264579433, 0.10728220424712881, 0.16375938309111485, 0.16182750438977228, -0.08641345639970448, -0.3152810920912184, 0.06816400925775892, -0.20893706398476897, -0.05081279116290573, -0.010903704778205505, -0.03551337856333703, 0.006146338106574197, -0.2302409163768109, -0.013382190287015155, 0.0013329228141198033, 0.038363423271986996, 0.04377093207777331, -0.06528915501640815, 0.0004775149036983126, 0.2507581040048727, -0.01221601381027875, 0.017948282920865734, 0.10685183352937824, -0.09183522975562435, -0.20223359834696902, 0.3625201846865055, -0.010265335189423672, -0.16558115396305526, 0.1597505109767601, -0.06771388067863882, -0.13064211486275062, 0.09320146380923688, 0.1726980418530538, 0.040901396325544306, -0.18172906102661632, 0.03857284217558213, -0.05264964064975318, 0.22533673038216015, 0.053542440891952106, 0.14491954637005142, 0.19283671175607628, 0.15853958510744728, 0.10970156951072185, 0.14129871664581037, -0.15367426008819357, -0.1568895218178544, -0.2654653253327859, -0.21742387389225004, -0.24866886204108596, 0.04679217369687792, -0.04006466312191486, -0.028744684581301715, 0.3932668387424201, 0.14491711322242687, 0.11380352133786992, -0.01855866252260871, 0.4010342239696336, 0.07378668119168938, 0.07135187198505982, 0.1071915275257963, 0.2747844904171009, 0.10684269359090219, 0.12225234053881937, -0.1502410335386613, 0.17228895394548185, 0.026504318646498416] |
707.0973 | The formation of extreme mass ratio binary stars: a tribute to Eduardo
De lgado Donate | Eduardo Delgado was due to have presented a poster at this meeting on his
latest results on the formation of extreme mass ratio binaries. Tragically,
Eduardo was among those killed in a hiking accident in Tenerife earlier this
year. As his PhD supervisor, and as a longstanding collaborator, the organisers
of this meeting kindly invited me to incorporate a report on his most recent
work into a more general tribute to his life and work.
I will reflect on Eduardo's scientific career, the problems that motivated
him and his achievements, focusing particularly on a problem which had
intrigued us both for several years and on which Eduardo was making important
progress at the time of his death. Finally, I will mention the personal
qualities that Eduardo brought to his work and the acute sense of loss that is
shared by all those - friends and collaborators - who were privileged to know
him.
| astro-ph | eduardo delgado was due to have presented a poster at this meeting on his latest results on the formation of extreme mass ratio binaries tragically eduardo was among those killed in a hiking accident in tenerife earlier this year as his phd supervisor and as a longstanding collaborator the organisers of this meeting kindly invited me to incorporate a report on his most recent work into a more general tribute to his life and work i will reflect on eduardos scientific career the problems that motivated him and his achievements focusing particularly on a problem which had intrigued us both for several years and on which eduardo was making important progress at the time of his death finally i will mention the personal qualities that eduardo brought to his work and the acute sense of loss that is shared by all those friends and collaborators who were privileged to know him | [['eduardo', 'delgado', 'was', 'due', 'to', 'have', 'presented', 'a', 'poster', 'at', 'this', 'meeting', 'on', 'his', 'latest', 'results', 'on', 'the', 'formation', 'of', 'extreme', 'mass', 'ratio', 'binaries', 'tragically', 'eduardo', 'was', 'among', 'those', 'killed', 'in', 'a', 'hiking', 'accident', 'in', 'tenerife', 'earlier', 'this', 'year', 'as', 'his', 'phd', 'supervisor', 'and', 'as', 'a', 'longstanding', 'collaborator', 'the', 'organisers', 'of', 'this', 'meeting', 'kindly', 'invited', 'me', 'to', 'incorporate', 'a', 'report', 'on', 'his', 'most', 'recent', 'work', 'into', 'a', 'more', 'general', 'tribute', 'to', 'his', 'life', 'and', 'work', 'i', 'will', 'reflect', 'on', 'eduardos', 'scientific', 'career', 'the', 'problems', 'that', 'motivated', 'him', 'and', 'his', 'achievements', 'focusing', 'particularly', 'on', 'a', 'problem', 'which', 'had', 'intrigued', 'us', 'both', 'for', 'several', 'years', 'and', 'on', 'which', 'eduardo', 'was', 'making', 'important', 'progress', 'at', 'the', 'time', 'of', 'his', 'death', 'finally', 'i', 'will', 'mention', 'the', 'personal', 'qualities', 'that', 'eduardo', 'brought', 'to', 'his', 'work', 'and', 'the', 'acute', 'sense', 'of', 'loss', 'that', 'is', 'shared', 'by', 'all', 'those', 'friends', 'and', 'collaborators', 'who', 'were', 'privileged', 'to', 'know', 'him']] | [-0.046558383035007866, 0.08225510619891187, -0.11410110371187329, 0.037546671614206086, -0.1771262874826789, -0.1730691181914881, 0.08717394184786827, 0.3236186129941295, -0.14734689206583426, -0.3529143883784612, 0.11937870859944572, -0.3431031721861412, -0.1577884807639445, 0.18273562125240764, -0.21418442325782963, -0.023546077952875444, 0.09679176166032752, 0.05375959956397613, 0.012666023831504086, -0.4256125484686345, 0.28582983546579876, 0.1622866685502231, 0.23370494108491888, 0.0859602263837587, 0.0792844742986684, 0.04116126373242878, -0.09885146516840905, -0.04393073949730024, -0.1259694405279879, 0.139257736360499, 0.26811733609686295, 0.1806397065667746, 0.39420500633617245, -0.41358656557276846, -0.16581526390024617, 0.04299009349818031, 0.07001131875130037, 0.08950017054720472, -0.020740195811764957, -0.33350415191302696, 0.017067452231422066, -0.18526890153686207, -0.1051631883578375, 0.02189563066000119, 0.0866847772958378, -0.01614262814633548, -0.1333789233925442, -0.02152346453939875, 0.0682862964590701, 0.0814543758922567, -0.02785356023814529, -0.16513393672260765, 0.02769659856023888, 0.16803308457136154, 0.09702588715435316, 0.06989732378162444, 0.06388355816404025, -0.10125656115667274, -0.13302138402747613, 0.36477739157232764, 0.016739992335982, -0.05871116556692869, 0.18541369698010385, -0.13861258757300676, -0.17468391699017957, 0.018583656266952554, 0.18292222609898695, 0.105548888767759, -0.1627302718659242, 0.03305715737165883, -0.05278452538885176, 0.09338571727275849, 0.16232559164365132, -0.038439332629786806, 0.2209721729035179, 0.10359433457876245, -0.01774483255110681, 0.0250687913200818, 0.014049822567030787, -0.07596616154226164, -0.23810494319846232, -0.17937019396107645, -0.1422189974784851, 0.0917614428466186, 0.08744480996450875, -0.0633568468131125, 0.388320978016903, 0.15465657763804, 0.139167992680644, 0.014472221680916846, 0.2320558882256349, 0.002472134755613903, 0.028235230436936643, 0.053596063811176764, 0.2507593845079343, 0.07615023852325976, 0.2289150742938121, -0.12950224047216277, 0.1320127171340088, 0.05429357699584216] |
707.0974 | Scalar products of elementary distributions | The field of real numbers being extended as a larger commutative field, we
investigate the possibility of defining a scalar product for the distributions
of finite discrete support. Then we focus on the most simple possible extension
(which is an ordered field), we provide explicit formulas for this scalar
product, and we exhibit a structure of positive definite inner-product space.
In a one-dimensional application to the Schroedinger equation, the
distributions supported by the origin are embedded into a bra-ket vector space,
where the "singular" potential describing point interaction is defined in a
natural way. A contact with the hyperreal numbers that arise in nonstandard
analysis is possible but not essential, our extensions of $\bf R$ and $\bf C$
being obtained by a quite elementary method.
| math-ph math.MP | the field of real numbers being extended as a larger commutative field we investigate the possibility of defining a scalar product for the distributions of finite discrete support then we focus on the most simple possible extension which is an ordered field we provide explicit formulas for this scalar product and we exhibit a structure of positive definite innerproduct space in a onedimensional application to the schroedinger equation the distributions supported by the origin are embedded into a braket vector space where the singular potential describing point interaction is defined in a natural way a contact with the hyperreal numbers that arise in nonstandard analysis is possible but not essential our extensions of bf r and bf c being obtained by a quite elementary method | [['the', 'field', 'of', 'real', 'numbers', 'being', 'extended', 'as', 'a', 'larger', 'commutative', 'field', 'we', 'investigate', 'the', 'possibility', 'of', 'defining', 'a', 'scalar', 'product', 'for', 'the', 'distributions', 'of', 'finite', 'discrete', 'support', 'then', 'we', 'focus', 'on', 'the', 'most', 'simple', 'possible', 'extension', 'which', 'is', 'an', 'ordered', 'field', 'we', 'provide', 'explicit', 'formulas', 'for', 'this', 'scalar', 'product', 'and', 'we', 'exhibit', 'a', 'structure', 'of', 'positive', 'definite', 'innerproduct', 'space', 'in', 'a', 'onedimensional', 'application', 'to', 'the', 'schroedinger', 'equation', 'the', 'distributions', 'supported', 'by', 'the', 'origin', 'are', 'embedded', 'into', 'a', 'braket', 'vector', 'space', 'where', 'the', 'singular', 'potential', 'describing', 'point', 'interaction', 'is', 'defined', 'in', 'a', 'natural', 'way', 'a', 'contact', 'with', 'the', 'hyperreal', 'numbers', 'that', 'arise', 'in', 'nonstandard', 'analysis', 'is', 'possible', 'but', 'not', 'essential', 'our', 'extensions', 'of', 'bf', 'r', 'and', 'bf', 'c', 'being', 'obtained', 'by', 'a', 'quite', 'elementary', 'method']] | [-0.16288865871541203, 0.1265290712538408, -0.08923589196056128, 0.0884155300129205, -0.10807386996969581, -0.12803607793152333, 0.001204429067671299, 0.3447315401881933, -0.2595875563295558, -0.2217954672947526, 0.08606940335873514, -0.22466779643669724, -0.16436392352031542, 0.1834347835816443, 0.004756440228433348, -0.005061623758636415, -0.0018326975256204605, 0.08964855863817502, -0.08471447852905839, -0.20884133417345582, 0.3720006737783551, -0.015449686571955681, 0.19906846719793975, 0.03200297209620476, 0.09020197438076138, 0.029524459313601256, -0.03053052153158933, 0.05310423818184063, -0.11522980692825513, 0.1387657140120864, 0.21448410621145741, 0.11537877735123038, 0.23949081935361027, -0.38051363384723663, -0.19212180285248906, 0.14209966181591152, 0.13084560872241854, 0.06072584180813283, -0.0693198185460642, -0.2888257873803377, 0.08915273809246718, -0.1794781568944454, -0.1561710732281208, -0.10054033232294023, 0.0636233386285603, 0.010961512923240662, -0.2861994033032097, 0.029146987702697514, 0.07642939750105143, 0.07618119816365652, -0.07672160711884499, -0.10921329925209283, -0.011201993262395262, 0.06862336891982704, 0.013664600936695933, 0.04445751918759197, 0.08165679306536913, -0.10082518786936999, -0.09644425607658923, 0.39028791982866823, -0.096201678853482, -0.2731820819824934, 0.16292563652619718, -0.14104214353207498, -0.10664257082343101, 0.10730123734474183, 0.1425952404688578, 0.1361050843987614, -0.0945640921597369, 0.18909975112508984, -0.08346763698011636, 0.10419182140473277, 0.04233010554872453, 0.0008526307754218579, 0.206187876643613, 0.12551520645618439, 0.04967753385007381, 0.14511945987446234, -0.010633160411380231, -0.12710666829068212, -0.37539259481430054, -0.20758143883105368, -0.19512179624289275, 0.09386336116224993, -0.07832332123047672, -0.2168578314781189, 0.39883271559327843, 0.10970638595893979, 0.23299351745191962, 0.029367650845088064, 0.2489714034087956, 0.14072601234540344, 0.06252211040724069, 0.05458190776593983, 0.15213480585440994, 0.18027199986949563, 0.051946626948192715, -0.12801903501339257, -0.005418451365083456, 0.05841020532697439] |
707.0975 | Scalar extension of bicoalgebroids | After recalling the definition of a bicoalgebroid, we define comodules and
modules over a bicoalgebroid. We construct the monoidal category of comodules,
and define Yetter--Drinfel'd modules over a bicoalgebroid. It is proved that
the Yetter--Drinfel'd category is monoidal and pre--braided just as in the case
of bialgebroids, and is embedded into the one--sided center of the comodule
category. We proceed to define Braided Cocommutative Coalgebras (BCC) over a
bicoalgebroid, and dualize the scalar extension construction of Brzezinski and
Militaru [2] and Balint and Slachanyi [1], originally applied to bialgebras and
bialgebroids, to bicoalgebroids. A few classical examples of this construction
are given. Identifying the comodule category over a bicoalgebroid with the
category of coalgebras of the associated comonad, we obtain a comonadic
(weakened) version of Schauenburg's theorem. Finally, we take a look at the
scalar extension and braided cocommutative coalgebras from a (co--)monadic
point of view.
| math.QA math.CT | after recalling the definition of a bicoalgebroid we define comodules and modules over a bicoalgebroid we construct the monoidal category of comodules and define yetterdrinfeld modules over a bicoalgebroid it is proved that the yetterdrinfeld category is monoidal and prebraided just as in the case of bialgebroids and is embedded into the onesided center of the comodule category we proceed to define braided cocommutative coalgebras bcc over a bicoalgebroid and dualize the scalar extension construction of brzezinski and militaru 2 and balint and slachanyi 1 originally applied to bialgebras and bialgebroids to bicoalgebroids a few classical examples of this construction are given identifying the comodule category over a bicoalgebroid with the category of coalgebras of the associated comonad we obtain a comonadic weakened version of schauenburgs theorem finally we take a look at the scalar extension and braided cocommutative coalgebras from a comonadic point of view | [['after', 'recalling', 'the', 'definition', 'of', 'a', 'bicoalgebroid', 'we', 'define', 'comodules', 'and', 'modules', 'over', 'a', 'bicoalgebroid', 'we', 'construct', 'the', 'monoidal', 'category', 'of', 'comodules', 'and', 'define', 'yetterdrinfeld', 'modules', 'over', 'a', 'bicoalgebroid', 'it', 'is', 'proved', 'that', 'the', 'yetterdrinfeld', 'category', 'is', 'monoidal', 'and', 'prebraided', 'just', 'as', 'in', 'the', 'case', 'of', 'bialgebroids', 'and', 'is', 'embedded', 'into', 'the', 'onesided', 'center', 'of', 'the', 'comodule', 'category', 'we', 'proceed', 'to', 'define', 'braided', 'cocommutative', 'coalgebras', 'bcc', 'over', 'a', 'bicoalgebroid', 'and', 'dualize', 'the', 'scalar', 'extension', 'construction', 'of', 'brzezinski', 'and', 'militaru', '2', 'and', 'balint', 'and', 'slachanyi', '1', 'originally', 'applied', 'to', 'bialgebras', 'and', 'bialgebroids', 'to', 'bicoalgebroids', 'a', 'few', 'classical', 'examples', 'of', 'this', 'construction', 'are', 'given', 'identifying', 'the', 'comodule', 'category', 'over', 'a', 'bicoalgebroid', 'with', 'the', 'category', 'of', 'coalgebras', 'of', 'the', 'associated', 'comonad', 'we', 'obtain', 'a', 'comonadic', 'weakened', 'version', 'of', 'schauenburgs', 'theorem', 'finally', 'we', 'take', 'a', 'look', 'at', 'the', 'scalar', 'extension', 'and', 'braided', 'cocommutative', 'coalgebras', 'from', 'a', 'comonadic', 'point', 'of', 'view']] | [-0.15588733446363928, 0.022682937548476428, -0.056197484208193295, 0.10930695042770822, -0.12785264851603037, -0.17111548834105228, -0.015657596801045455, 0.40203880842050743, -0.4274158297986206, -0.15037740775086503, 0.09328013694418284, -0.16794909552845638, -0.11779862744151615, 0.1458469242109762, -0.19059061535679372, -0.14558229775866494, 0.08001102903411568, 0.1336244852993534, -0.09676510948500233, -0.24292024416435096, 0.4449900967431151, 0.02231443330593821, 0.20286672295899028, 0.001347283021055369, 0.16003744681236437, 0.04984181604999725, -0.023945914235405832, 0.005053175238168074, -0.15877761058744808, 0.10421738687243003, 0.31913445441508276, 0.08393646839087726, 0.21121776634229011, -0.31779713054291076, -0.03645739072231259, 0.15410235111711598, 0.09345500306032288, 0.050006209432871804, 0.006069983545482198, -0.36364402216632796, 0.14574786157552605, -0.3455440973015761, -0.03657687201242273, -0.0525396340720666, 0.07786612386634159, -0.032873055121550955, -0.25301279573290636, -0.06740379868683198, 0.11934743665753761, 0.1322679362557311, -0.13368370919811745, -0.047053769193654366, -0.10014449584802303, 0.05739098018643239, -0.10141197900682325, 0.018376925438335294, 0.17312149386917655, -0.099146482998751, -0.16835110026456984, 0.35498087879063356, -0.06804423631991893, -0.18475584969079742, 0.11835685788214, -0.10278241750266817, -0.1207807724389972, 0.0904751469335881, -0.01263692183258374, 0.1327801188065981, -0.04463506643434004, 0.20211151489881254, -0.13944193882505512, 0.005495721420326542, 0.13048934321300798, 0.026003365880266454, 0.1549110501849403, 0.13310717266803193, 0.014819167921410149, 0.17194913714128132, 0.005574361071517665, -0.08016202435828745, -0.3782748806083368, -0.23881326287624283, 0.02989438289498341, 0.13759587813142893, -0.04745229998398928, -0.18198730341262287, 0.41144398915477925, 0.15215885734061077, 0.16603041272093025, 0.1703350680311107, 0.16976019410746326, 0.002836452822116876, 0.1250065126029464, 0.027869671896041837, 0.12702284339724834, 0.3446226098911009, 0.06469939522341722, 0.018494478367049143, -0.0767100786906667, 0.21848803270323616] |
707.0976 | Multiplicity of solutions of a zero mass nonlinear equation on a
Riemannian manifold | The relation between the number of solutions of a nonlinear equation on a
Riemannian manifold and the topology of the manifold itself is studied. The
technique is based on Ljusternik-Schnirelmann category and Morse theory.
| math.AP | the relation between the number of solutions of a nonlinear equation on a riemannian manifold and the topology of the manifold itself is studied the technique is based on ljusternikschnirelmann category and morse theory | [['the', 'relation', 'between', 'the', 'number', 'of', 'solutions', 'of', 'a', 'nonlinear', 'equation', 'on', 'a', 'riemannian', 'manifold', 'and', 'the', 'topology', 'of', 'the', 'manifold', 'itself', 'is', 'studied', 'the', 'technique', 'is', 'based', 'on', 'ljusternikschnirelmann', 'category', 'and', 'morse', 'theory']] | [-0.17520899609114757, 0.009362105225377223, -0.14592270114842584, 0.09126779476783294, -0.12287909460856634, -0.11205709284609731, 0.00993632131790304, 0.3024420537164106, -0.2855614173938246, -0.2715988790561609, 0.11078650060602847, -0.28302658754674825, -0.21816762463148573, 0.20328268804587424, -0.08688742656479864, 0.023141710525926423, 0.05115393469767535, 0.13771573684233077, -0.0762528481085182, -0.16293197957908406, 0.4924815136199707, -0.012256680494722198, 0.3054508449619307, 0.07445342942853184, 0.16267254488433108, -0.02380435013979235, 0.016573214300853366, 0.061160461538854766, -0.138786181982141, 0.17462310819503138, 0.1664406297427109, 0.10605855092324097, 0.2556091410909122, -0.40325494888512525, -0.20154562028234496, 0.08263503382092013, 0.06085385502699543, 0.04053466794464518, -0.03761232779224349, -0.30711042048300013, 0.07127402621485732, -0.08366959492730744, -0.12049361044431434, -0.029296948190997627, 0.026834496598252478, 0.01957856403554187, -0.20756979111362905, 0.015313133131712675, 0.06283836110549815, 0.055687371531830114, -0.11639465492985704, -0.02580708615920123, -0.08412202392869136, 0.0640937441631275, 0.009737323873731144, 0.07412150018738911, 0.08598469822284054, -0.09262941054561559, -0.07779983710497618, 0.3352868552593624, -0.08263443481615361, -0.32931278919910684, 0.14617770645247005, -0.07122801611309543, -0.11252967347664868, 0.0855914250783184, 0.13602893814608893, 0.20113572779604616, -0.07530670878751312, 0.23142539599896683, -0.04934829135206254, 0.15363715446608908, 0.014880757532356417, -0.028925238588057896, 0.08985211464631207, 0.21983594644595594, 0.12040770029210869, 0.09010993893367841, -0.051505998256342375, -0.13941087047843373, -0.2915283200495383, -0.18200514460092082, -0.21886182231280735, 0.12441118001280461, -0.1275661161438192, -0.20481456621714375, 0.4172144979786347, 0.005292297532672391, 0.19361023678827813, 0.08996747510836405, 0.25058117235654637, 0.11966766716967173, -0.0283190954120501, 0.03745373182327432, 0.21222231611061623, 0.2888185953830971, 0.05924125270479742, -0.2045482041875777, -0.033983378136968785, 0.2229248903801336] |
707.0977 | Thermal rectification and negative differential thermal resistance in
lattices with mass gradient | We study thermal properties of one dimensional(1D) harmonic and anharmonic
lattices with mass gradient. It is found that the temperature gradient can be
built up in the 1D harmonic lattice with mass gradient due to the existence of
gradons. The heat flow is asymmetric in the anharmonic lattices with mass
gradient. Moreover, in a certain temperature region the {\it negative
differential thermal resistance} is observed. Possible applications in
constructing thermal rectifier and thermal transistor by using the graded
material are discussed.
| cond-mat.dis-nn cond-mat.mtrl-sci | we study thermal properties of one dimensional1d harmonic and anharmonic lattices with mass gradient it is found that the temperature gradient can be built up in the 1d harmonic lattice with mass gradient due to the existence of gradons the heat flow is asymmetric in the anharmonic lattices with mass gradient moreover in a certain temperature region the it negative differential thermal resistance is observed possible applications in constructing thermal rectifier and thermal transistor by using the graded material are discussed | [['we', 'study', 'thermal', 'properties', 'of', 'one', 'dimensional1d', 'harmonic', 'and', 'anharmonic', 'lattices', 'with', 'mass', 'gradient', 'it', 'is', 'found', 'that', 'the', 'temperature', 'gradient', 'can', 'be', 'built', 'up', 'in', 'the', '1d', 'harmonic', 'lattice', 'with', 'mass', 'gradient', 'due', 'to', 'the', 'existence', 'of', 'gradons', 'the', 'heat', 'flow', 'is', 'asymmetric', 'in', 'the', 'anharmonic', 'lattices', 'with', 'mass', 'gradient', 'moreover', 'in', 'a', 'certain', 'temperature', 'region', 'the', 'it', 'negative', 'differential', 'thermal', 'resistance', 'is', 'observed', 'possible', 'applications', 'in', 'constructing', 'thermal', 'rectifier', 'and', 'thermal', 'transistor', 'by', 'using', 'the', 'graded', 'material', 'are', 'discussed']] | [-0.12119221452157944, 0.19112184097175486, -0.05385619797743857, -0.016488319927884732, -0.06214806421194226, -0.15007574899937026, -0.012102859327569604, 0.4394863036694005, -0.3066965899430215, -0.2495453143463237, 0.09683260966558009, -0.28274946202291174, -0.11659903572872281, 0.22647041510790586, -0.007853036176311435, 0.05034809458302334, 0.012587063701357693, 0.04184516956447624, -0.05598780535874539, -0.22751536328578367, 0.29552952889353035, 0.07754293353646062, 0.2610261141322553, 0.11437848811619915, 0.07237566687399521, -0.08901018394972197, 0.05261484622606076, 0.06796501443022862, -0.1335107689193137, 0.07504811329999939, 0.19411736007605213, -0.08729224887210876, 0.2070294762495905, -0.38346865423955023, -0.25079545767512174, 0.10286210528574884, 0.07305548540316523, 0.12796655168058352, -0.08505601384676993, -0.18552223178558053, 0.032368156127631664, -0.12717623076750897, -0.1637896985921543, -0.11193142839474604, -0.003527387953363359, 0.04427028787031304, -0.2343126998282969, 0.15370198586024345, 0.062324900238309056, 0.041618810333602596, -0.054110584693262354, -0.12222550562000833, -0.11040792937274091, 0.0271005034504924, 0.0002988930471474305, 0.002070385203114711, 0.20181251278263518, -0.1096407260687556, -0.07016991046257318, 0.3697544743772596, -0.14239645623601974, -0.16071953321807086, 0.14923530193045736, -0.14303419826901517, -0.05143162501626648, 0.13383488738327287, 0.1363248223438859, 0.07817077164072543, -0.18843562572728842, 0.07057441151555395, -0.009183958938228898, 0.11881741603137926, 0.0900826450495515, 0.008204654144356028, 0.23860791597981007, 0.17968213161220775, 0.06757550376933068, 0.20762799385556718, -0.07867569011286832, -0.09523593371341121, -0.2312288294080645, -0.14599298691609874, -0.1764298754860647, 0.08151849602290895, -0.1072773949628754, -0.20159585945075378, 0.363077834865544, 0.13648945287568495, 0.19641163520282134, 8.988178742583842e-05, 0.2912240823497996, 0.19667289399076254, 0.1109883951721713, 0.09122215498937294, 0.25845103242900225, 0.24364157459058333, 0.14048435278236865, -0.31248893134179523, -0.010551429184852168, 0.053633161305333486] |
707.0978 | When Network Coding and Dirty Paper Coding meet in a Cooperative Ad Hoc
Network | We develop and analyze new cooperative strategies for ad hoc networks that
are more spectrally efficient than classical DF cooperative protocols. Using
analog network coding, our strategies preserve the practical half-duplex
assumption but relax the orthogonality constraint. The introduction of
interference due to non-orthogonality is mitigated thanks to precoding, in
particular Dirty Paper coding. Combined with smart power allocation, our
cooperation strategies allow to save time and lead to more efficient use of
bandwidth and to improved network throughput with respect to classical RDF/PDF.
| cs.IT math.IT | we develop and analyze new cooperative strategies for ad hoc networks that are more spectrally efficient than classical df cooperative protocols using analog network coding our strategies preserve the practical halfduplex assumption but relax the orthogonality constraint the introduction of interference due to nonorthogonality is mitigated thanks to precoding in particular dirty paper coding combined with smart power allocation our cooperation strategies allow to save time and lead to more efficient use of bandwidth and to improved network throughput with respect to classical rdfpdf | [['we', 'develop', 'and', 'analyze', 'new', 'cooperative', 'strategies', 'for', 'ad', 'hoc', 'networks', 'that', 'are', 'more', 'spectrally', 'efficient', 'than', 'classical', 'df', 'cooperative', 'protocols', 'using', 'analog', 'network', 'coding', 'our', 'strategies', 'preserve', 'the', 'practical', 'halfduplex', 'assumption', 'but', 'relax', 'the', 'orthogonality', 'constraint', 'the', 'introduction', 'of', 'interference', 'due', 'to', 'nonorthogonality', 'is', 'mitigated', 'thanks', 'to', 'precoding', 'in', 'particular', 'dirty', 'paper', 'coding', 'combined', 'with', 'smart', 'power', 'allocation', 'our', 'cooperation', 'strategies', 'allow', 'to', 'save', 'time', 'and', 'lead', 'to', 'more', 'efficient', 'use', 'of', 'bandwidth', 'and', 'to', 'improved', 'network', 'throughput', 'with', 'respect', 'to', 'classical', 'rdfpdf']] | [-0.19422073675184903, -0.008604443727442658, -0.05936184822839786, 0.05690137488369168, -0.12774101550500078, -0.31157770025801945, 0.15922430189780845, 0.44380258229920216, -0.2785143880734602, -0.2534106591897343, 0.10112934720180704, -0.1645419908103993, -0.20044790204973464, 0.11992946070764797, -0.188890139224479, 0.03877134193632617, 0.053791581883083986, -0.03750924190719533, -0.02066174417969782, -0.2576193438046219, 0.3062597925449351, 0.17936918935850713, 0.38648662375039367, -0.01671622161955449, 0.005279225476804268, 0.03474222454635135, -0.06953916305967842, -0.04044321825985898, -0.08565474341734641, 0.15534530618755393, 0.3253796897374138, 0.1635945836889995, 0.3002497627882354, -0.49873396054650826, -0.2656754182696522, 0.12976761216140656, 0.17051047655046883, 0.1092134573867163, -0.010766551264979685, -0.2403624782630478, 0.1532317784065044, -0.24273921694067946, -0.04156956657857062, -0.10955828157567744, -0.1010496678302087, 0.023933442979938834, -0.35754418583497044, 0.02862723639616406, 0.013866127614515373, -0.00223832744656198, -0.009828627969668505, -0.10996847081626485, 0.051190512019198345, 0.1234255545682846, 0.015920362443696844, -0.02424428659120956, 0.08221244818323392, -0.0637770930939096, -0.1603220232190138, 0.3726096081446452, 0.02572400190117797, -0.2209322299381875, 0.18344430715765758, 0.005935653696307935, -0.10335548871746623, 0.146044541812356, 0.23834031916795725, 0.06740609160904963, -0.1599790558277865, -0.0157853194283804, 0.05466749868075173, 0.1905266006578164, 0.11425855239090252, 0.1893537641861981, 0.09176919776777995, 0.17721675903850562, 0.19747554974248968, 0.14268561879015831, -0.07075690052749768, -0.16789669625416218, -0.16506470444735633, -0.08699768644768789, -0.1571547302237925, 0.048494516770882776, -0.10495008084960197, -0.058636144760165765, 0.334472617493516, 0.20397785696879883, 0.0671407983873982, 0.14128659170749316, 0.3886622023510646, 0.10558182481642678, 0.08397763953137447, 0.1288691328961896, 0.2136154867798449, 0.10850037650081766, 0.17007747261661543, -0.22968151519658514, 0.05062431735491537, -0.02391796718991126] |
707.0979 | Comparison of high and low state X-ray spectra in the Type 1 QSO 2MASS
0918+2117 | When observed by XMM-Newton in 2003 the type 1 QSO 2MASS 0918+2117 was found
to in a low flux state, some ~4-5 times fainter than during an earlier Chandra
observation. The 2-6 keV spectrum was unusually hard, with evidence for a
reflection-dominated continuum, while a soft excess prevented confirmation of
the anticipated low energy absorber. In a second XMM-Newton observation in
2005, the X-ray flux is found to have recovered, with a 2-10 keV continuum
slope now typical of broad-line active galaxy, and clear evidence for low
energy absorption. We find the preferred ionisation state of the absorbing gas
to be low, consistent with the red nucleus and strong optical polarisation of
2MASS 0918+2117. A residual soft excess is of similar spectral form and flux to
that seen in 2003.
| astro-ph | when observed by xmmnewton in 2003 the type 1 qso 2mass 09182117 was found to in a low flux state some 45 times fainter than during an earlier chandra observation the 26 kev spectrum was unusually hard with evidence for a reflectiondominated continuum while a soft excess prevented confirmation of the anticipated low energy absorber in a second xmmnewton observation in 2005 the xray flux is found to have recovered with a 210 kev continuum slope now typical of broadline active galaxy and clear evidence for low energy absorption we find the preferred ionisation state of the absorbing gas to be low consistent with the red nucleus and strong optical polarisation of 2mass 09182117 a residual soft excess is of similar spectral form and flux to that seen in 2003 | [['when', 'observed', 'by', 'xmmnewton', 'in', '2003', 'the', 'type', '1', 'qso', '2mass', '09182117', 'was', 'found', 'to', 'in', 'a', 'low', 'flux', 'state', 'some', '45', 'times', 'fainter', 'than', 'during', 'an', 'earlier', 'chandra', 'observation', 'the', '26', 'kev', 'spectrum', 'was', 'unusually', 'hard', 'with', 'evidence', 'for', 'a', 'reflectiondominated', 'continuum', 'while', 'a', 'soft', 'excess', 'prevented', 'confirmation', 'of', 'the', 'anticipated', 'low', 'energy', 'absorber', 'in', 'a', 'second', 'xmmnewton', 'observation', 'in', '2005', 'the', 'xray', 'flux', 'is', 'found', 'to', 'have', 'recovered', 'with', 'a', '210', 'kev', 'continuum', 'slope', 'now', 'typical', 'of', 'broadline', 'active', 'galaxy', 'and', 'clear', 'evidence', 'for', 'low', 'energy', 'absorption', 'we', 'find', 'the', 'preferred', 'ionisation', 'state', 'of', 'the', 'absorbing', 'gas', 'to', 'be', 'low', 'consistent', 'with', 'the', 'red', 'nucleus', 'and', 'strong', 'optical', 'polarisation', 'of', '2mass', '09182117', 'a', 'residual', 'soft', 'excess', 'is', 'of', 'similar', 'spectral', 'form', 'and', 'flux', 'to', 'that', 'seen', 'in', '2003']] | [-0.03167294900458728, 0.11275241240684863, -0.07176132767199306, 0.1149118756311509, -0.07575562577403616, -0.11521759866445791, 0.08385657983308192, 0.4696137388746138, -0.12072160471302595, -0.39266826401581056, 0.07497667222833115, -0.32633213423832785, 0.009948805694875773, 0.15105179991360274, -0.05092688006698154, -0.016649040546326432, 0.0067237910407129675, -0.07659261874505319, -0.028953404171261354, -0.19533856085581647, 0.20591900386898487, 0.11672227021335857, 0.20344809810922015, 0.012205816420703286, 0.07947505018819356, -0.04492472727361019, -0.07914681340480456, -0.006683077135676285, -0.06940098050864663, 0.023861438430685666, 0.23975369460094953, 0.02232520763300272, 0.2046161181096977, -0.32590150187024847, -0.2333002741506789, 0.0745524099766044, 0.16795184727743617, -0.010642542061759741, -0.03481351588925463, -0.25304332370797056, 0.047011323029437335, -0.2119489182223333, -0.18824019750172738, 0.06876429616386304, 0.08314708268881077, -0.02734782518064094, -0.1917637583828764, 0.1654264698518091, 0.01674450253995019, 0.07907543131295824, -0.17436156024996308, -0.09849156517520896, -0.0744297075580107, 0.003591600402842232, 0.0454114627900708, 0.08985914808727102, 0.13296890598212485, -0.14491995220669196, -0.057892756041837856, 0.32763848167087417, -0.06996222389955165, 0.09212236349412706, 0.20782409169783023, -0.19703353148725, -0.20897784523003793, 0.29827017354546115, 0.06295348579078563, 0.04311577087719343, -0.13502847912661764, 0.004632858635432058, -0.050488301927543944, 0.2976215774542652, 0.031449969465029426, 0.06690870611248556, 0.27328066304471577, 0.0923694150017127, 0.02399263319421152, 0.15050223273919983, -0.25412237373529933, 0.02103795818402432, -0.2532799913078634, -0.07473616990773735, -0.14840346786149894, 0.13684089904563734, -0.07383137297040321, -0.12760521356904064, 0.3191119964085374, 0.05365584564424353, 0.2533941628134926, 0.015562875492832973, 0.31312296390933625, 0.15074572017329047, 0.05230685495916987, 0.10877404117309197, 0.3934899904536451, 0.15288699518896465, 0.14014022601804754, -0.18646394548909484, 0.03771324957415345, -0.02576904353190912] |
707.098 | Analog of the Skewes number for twin primes | The results of the computer investigation of the sign changes of the
difference between the number of twin primes $\pi_2(x)$ and the
Hardy--Littlewood conjecture $c_2\Li_2(x)$ are reported. It turns out that
$\pi_2(x) - c_2\Li_2(x)$ changes the sign at unexpectedly low values of $x$ and
for $x<2^{42}$ there are over 90000 sign changes of this difference. It is
conjectured that the number of sign changes of $\pi_2(x) - c_2\Li_2(x)$ for
$x\in (1, T)$ is given by $\sqrt T/\log(T)$.
| math.NT | the results of the computer investigation of the sign changes of the difference between the number of twin primes pi_2x and the hardylittlewood conjecture c_2li_2x are reported it turns out that pi_2x c_2li_2x changes the sign at unexpectedly low values of x and for x242 there are over 90000 sign changes of this difference it is conjectured that the number of sign changes of pi_2x c_2li_2x for xin 1 t is given by sqrt tlogt | [['the', 'results', 'of', 'the', 'computer', 'investigation', 'of', 'the', 'sign', 'changes', 'of', 'the', 'difference', 'between', 'the', 'number', 'of', 'twin', 'primes', 'pi_2x', 'and', 'the', 'hardylittlewood', 'conjecture', 'c_2li_2x', 'are', 'reported', 'it', 'turns', 'out', 'that', 'pi_2x', 'c_2li_2x', 'changes', 'the', 'sign', 'at', 'unexpectedly', 'low', 'values', 'of', 'x', 'and', 'for', 'x242', 'there', 'are', 'over', '90000', 'sign', 'changes', 'of', 'this', 'difference', 'it', 'is', 'conjectured', 'that', 'the', 'number', 'of', 'sign', 'changes', 'of', 'pi_2x', 'c_2li_2x', 'for', 'xin', '1', 't', 'is', 'given', 'by', 'sqrt', 'tlogt']] | [-0.21127995365374796, 0.15409788920393064, -0.08035265237118143, 0.05505003024528206, -0.02037143985728255, -0.10728011934741123, 0.03952533905268521, 0.31881068276895863, -0.2784459501303531, -0.35939674985569875, 0.07075329535212871, -0.32522053098796894, -0.11982336119320747, 0.20898670571025563, -0.047621226642985605, 0.001131285804935819, 0.03727519891627536, 0.060946236427470636, -0.08504829076873893, -0.29377873436346447, 0.28480700099828177, -0.03953752485481468, 0.214008996451928, 0.10308058999126425, 0.07333401157646566, 0.0010708093995580802, 0.003817338068541643, -0.0042398258338908895, -0.11586392596084782, 0.05009019482806891, 0.25747375532582, 0.07797481022095559, 0.2588077663771204, -0.30234001478734046, -0.09913267720981526, 0.17734322498074254, 0.07631074343304578, -0.010934781660703389, -0.027430446088515425, -0.19520792516728713, 0.16366091300733387, -0.10749379584465076, -0.13626555964426212, -0.00570458360016346, 0.14480572443052725, 0.01801747755726447, -0.2806406733705788, 0.08970393920065584, 0.07257816608290414, 0.10511797905673047, 0.005931554525788571, -0.18708889470813242, -0.0440459391794394, 0.1193993059993797, 0.1446045796084847, 0.08469974185415619, 0.07012869014933303, -0.10904292648695912, -0.0837822132114623, 0.32196713508282965, -0.027768503095029626, -0.12516754080314893, 0.12517562634122834, -0.2165342930867966, -0.12678582136553862, 0.1522128930617426, 0.01641038291760393, 0.09578952125298816, 0.0017118515144731547, 0.11257363879318487, -0.1279099477278824, 0.15976357062322064, 0.1753614821244736, -0.02666882302209332, 0.1526074881187162, 0.06000572091874641, 0.07361890449238992, 0.08136212120046588, -0.08411782285248912, -0.03315349773982087, -0.3281193439143936, -0.1510670344672493, -0.20912227143432843, 0.0721047898452427, -0.08296186580107157, -0.12667180050315485, 0.3680341842936704, 0.13168861285305103, 0.2172079255452027, 0.032566247136659315, 0.16301069453962752, 0.1183307328846658, 0.07626697773466239, 0.04613834205461112, 0.17060903839867664, 0.11033141317563383, 0.08736375751244407, -0.26605902897898814, 0.11380505940650364, 0.05638563914878948] |
707.0981 | Boson Pairs in a One-dimensional Split Trap | We describe the properties of a pair of ultracold bosonic atoms in a
one-dimensional harmonic trapping potential with a tunable zero-ranged barrier
at the trap centre. The full characterisation of the ground state is done by
calculating the reduced single-particle density, the momentum distribution and
the two-particle entanglement. We derive several analytical expressions in the
limit of infinite repulsion (Tonks-Girardeau limit) and extend the treatment to
finite interparticle interactions by numerical solution. As pair interactions
in double wells form a fundamental building block for many-body systems in
periodic potentials, our results have implications for a wide range of
problems.
| quant-ph | we describe the properties of a pair of ultracold bosonic atoms in a onedimensional harmonic trapping potential with a tunable zeroranged barrier at the trap centre the full characterisation of the ground state is done by calculating the reduced singleparticle density the momentum distribution and the twoparticle entanglement we derive several analytical expressions in the limit of infinite repulsion tonksgirardeau limit and extend the treatment to finite interparticle interactions by numerical solution as pair interactions in double wells form a fundamental building block for manybody systems in periodic potentials our results have implications for a wide range of problems | [['we', 'describe', 'the', 'properties', 'of', 'a', 'pair', 'of', 'ultracold', 'bosonic', 'atoms', 'in', 'a', 'onedimensional', 'harmonic', 'trapping', 'potential', 'with', 'a', 'tunable', 'zeroranged', 'barrier', 'at', 'the', 'trap', 'centre', 'the', 'full', 'characterisation', 'of', 'the', 'ground', 'state', 'is', 'done', 'by', 'calculating', 'the', 'reduced', 'singleparticle', 'density', 'the', 'momentum', 'distribution', 'and', 'the', 'twoparticle', 'entanglement', 'we', 'derive', 'several', 'analytical', 'expressions', 'in', 'the', 'limit', 'of', 'infinite', 'repulsion', 'tonksgirardeau', 'limit', 'and', 'extend', 'the', 'treatment', 'to', 'finite', 'interparticle', 'interactions', 'by', 'numerical', 'solution', 'as', 'pair', 'interactions', 'in', 'double', 'wells', 'form', 'a', 'fundamental', 'building', 'block', 'for', 'manybody', 'systems', 'in', 'periodic', 'potentials', 'our', 'results', 'have', 'implications', 'for', 'a', 'wide', 'range', 'of', 'problems']] | [-0.1431545920745291, 0.17035769743167542, -0.07098801963318215, 0.06756995365757382, 0.039524144589468235, -0.1358854048320967, 0.05299875284121795, 0.33596927563499923, -0.21475422749944933, -0.2360485161871019, 0.008176651910286058, -0.2897437225669773, -0.08001136014971769, 0.19280683013347139, 0.07810309994965792, 0.09222208129035102, 0.0766135737408103, -0.0037650131629874007, -0.09080028554631604, -0.19082369568823565, 0.29912433386639214, 0.0159167701924088, 0.243731688237702, 0.13584619340007054, 0.06962614964618526, 0.08841297550907716, 0.07504561817687419, -0.016723423523621425, -0.1682925166437553, 0.11116793672695305, 0.24485638462985404, -0.017029050850506985, 0.2570013122237993, -0.43435790109438727, -0.23707365430891514, 0.09173279757978338, 0.18356334544116198, 0.19384785286254352, -0.07644155413627324, -0.30772623986081044, -0.026118484720813507, -0.24743659499882145, -0.22932294389289437, -0.08871165688403627, 0.05378089066256176, 0.08970171177402289, -0.25546861557299366, 0.07944036777498144, 0.053707806118340654, 0.05394235724639712, -0.0961478323972022, -0.07149201800877397, 0.02247001757290252, 0.10698506711615306, -0.05877058734091921, -0.02827811847097532, 0.14272160691707725, -0.15597630661472472, -0.09815144163763358, 0.3814536445783545, -0.0995727992720074, -0.20895202231188917, 0.19540067411244216, -0.15272011879403521, -0.06991780282120512, 0.1348380647279849, 0.14711114616518972, 0.08549673846367785, -0.16964436357257642, 0.14758807469530952, -0.0343752445598989, 0.11141756068852805, 0.0753860156583327, 0.07040174300735345, 0.24080772043412757, 0.1522946967907965, 0.0743797124725663, 0.1831167412362052, -0.06846153688254869, -0.15806015562313147, -0.29331095638976556, -0.13275493704949062, -0.24362086387812112, 0.025630838893972174, -0.0712764578576863, -0.1782363863812402, 0.39280691194216333, 0.0979063703791436, 0.19125659101068823, 0.03610162416971618, 0.2376260968781255, 0.16039422620558227, 0.028216756715655628, -0.013650547601329633, 0.22655680173810458, 0.1986811297799865, 0.049828014973870884, -0.27226082444416755, -0.04327185295352882, 0.08539132461789055] |
707.0982 | Pulse propagation methods in nonlinear optics | I present an overview of pulse propagation methods used in nonlinear optics,
covering both full-field and envelope-and-carrier methods. Both wideband and
narrowband cases are discussed. Three basic forms are considered -- those based
on (a) Maxwell's equations, (b) directional fields, and (c) the second order
wave equation. While Maxwell's equations simulators are the most general,
directional field methods can give significant computational and conceptual
advantages. Factorizations of the second order wave equation complete the set
by being the simplest to understand. One important conclusion is that that
envelope methods based on forward-only directional field propagation has made
the traditional envelope methods (such as the SVEA, and extensions) based on
the second order wave equation utterly redundant.
| physics.optics | i present an overview of pulse propagation methods used in nonlinear optics covering both fullfield and envelopeandcarrier methods both wideband and narrowband cases are discussed three basic forms are considered those based on a maxwells equations b directional fields and c the second order wave equation while maxwells equations simulators are the most general directional field methods can give significant computational and conceptual advantages factorizations of the second order wave equation complete the set by being the simplest to understand one important conclusion is that that envelope methods based on forwardonly directional field propagation has made the traditional envelope methods such as the svea and extensions based on the second order wave equation utterly redundant | [['i', 'present', 'an', 'overview', 'of', 'pulse', 'propagation', 'methods', 'used', 'in', 'nonlinear', 'optics', 'covering', 'both', 'fullfield', 'and', 'envelopeandcarrier', 'methods', 'both', 'wideband', 'and', 'narrowband', 'cases', 'are', 'discussed', 'three', 'basic', 'forms', 'are', 'considered', 'those', 'based', 'on', 'a', 'maxwells', 'equations', 'b', 'directional', 'fields', 'and', 'c', 'the', 'second', 'order', 'wave', 'equation', 'while', 'maxwells', 'equations', 'simulators', 'are', 'the', 'most', 'general', 'directional', 'field', 'methods', 'can', 'give', 'significant', 'computational', 'and', 'conceptual', 'advantages', 'factorizations', 'of', 'the', 'second', 'order', 'wave', 'equation', 'complete', 'the', 'set', 'by', 'being', 'the', 'simplest', 'to', 'understand', 'one', 'important', 'conclusion', 'is', 'that', 'that', 'envelope', 'methods', 'based', 'on', 'forwardonly', 'directional', 'field', 'propagation', 'has', 'made', 'the', 'traditional', 'envelope', 'methods', 'such', 'as', 'the', 'svea', 'and', 'extensions', 'based', 'on', 'the', 'second', 'order', 'wave', 'equation', 'utterly', 'redundant']] | [-0.12541339359105272, 0.03618340865464313, -0.04986640186000027, 0.056399410944881344, -0.1495592755085805, -0.12502318399696888, -0.06265808630677495, 0.38526195468250335, -0.23042079590755238, -0.25170594191570816, 0.13461534506457515, -0.26356146635953337, -0.18329729277869328, 0.22693862471925585, 0.004729538980315914, 0.08969417400351774, 0.03876021286685085, 0.02599224173708966, -0.08666947242199328, -0.23093500197456593, 0.3101451493056262, 0.009638202376663685, 0.2768909052063368, -0.01595204117658891, 0.12979002048571905, -0.006712438518246799, -0.04461203669984171, 0.0012621794564933097, -0.11374384460201295, 0.12300178379825268, 0.25094867068784016, 0.12567321657562597, 0.2792059500832437, -0.4892750500962792, -0.2578351174669111, 0.035348749905416185, 0.12033990897205576, 0.12545579554908295, -0.052213769290686114, -0.2910550649098137, 0.011326336567371822, -0.12545234074391293, -0.11927911973345959, -0.09049146824205916, -0.016442679364046312, 0.09055706074312247, -0.23190954505678332, 0.05192074377351163, 0.06192613222019486, 0.013798288318835068, -0.03513459068633158, -0.16762690683071127, 0.02275264528048993, 0.04135984478093553, 0.022762448504452772, 0.01289428150477378, 0.06734502900457173, -0.13068401785322317, -0.1241726659344542, 0.4351122343357195, -0.06732876266234375, -0.22325925595176063, 0.1918436334133475, -0.10171596816354922, -0.07643124040853429, 0.16082616836616867, 0.17409236686867907, 0.12111945635957741, -0.16040222186660558, 0.05876944216709633, 0.01656898139225903, 0.17694468388288984, 0.07617896020396106, 0.0563095617915423, 0.1587718757637368, 0.1374216268018803, 0.03796147692666732, 0.06103975035805713, -0.07367315283249411, -0.0982562793467782, -0.3203973341673861, -0.14501791999658994, -0.13496858196071626, -0.0016702773985646975, -0.07297335574829751, -0.14476045467809104, 0.39813797820253266, 0.18465127389502237, 0.0758818979089132, -0.0016806949207787973, 0.35588696241182716, 0.16367203393645213, 0.039666238542658425, 0.06457821801386512, 0.24587903043108159, 0.19916838725922598, 0.1218695191793111, -0.1625973538405225, 0.03447992938750407, 0.08812849373728233] |
707.0983 | Moduli spaces of coherent systems of small slope on algebraic curves | Let $C$ be an algebraic curve of genus $g\ge2$. A coherent system on $C$
consists of a pair $(E,V)$, where $E$ is an algebraic vector bundle over $C$ of
rank $n$ and degree $d$ and $V$ is a subspace of dimension $k$ of the space of
sections of $E$. The stability of the coherent system depends on a parameter
$\alpha$. We study the geometry of the moduli space of coherent systems for
$0<d\le2n$. We show that these spaces are irreducible whenever they are
non-empty and obtain necessary and sufficient conditions for non-emptiness.
| math.AG | let c be an algebraic curve of genus gge2 a coherent system on c consists of a pair ev where e is an algebraic vector bundle over c of rank n and degree d and v is a subspace of dimension k of the space of sections of e the stability of the coherent system depends on a parameter alpha we study the geometry of the moduli space of coherent systems for 0dle2n we show that these spaces are irreducible whenever they are nonempty and obtain necessary and sufficient conditions for nonemptiness | [['let', 'c', 'be', 'an', 'algebraic', 'curve', 'of', 'genus', 'gge2', 'a', 'coherent', 'system', 'on', 'c', 'consists', 'of', 'a', 'pair', 'ev', 'where', 'e', 'is', 'an', 'algebraic', 'vector', 'bundle', 'over', 'c', 'of', 'rank', 'n', 'and', 'degree', 'd', 'and', 'v', 'is', 'a', 'subspace', 'of', 'dimension', 'k', 'of', 'the', 'space', 'of', 'sections', 'of', 'e', 'the', 'stability', 'of', 'the', 'coherent', 'system', 'depends', 'on', 'a', 'parameter', 'alpha', 'we', 'study', 'the', 'geometry', 'of', 'the', 'moduli', 'space', 'of', 'coherent', 'systems', 'for', '0dle2n', 'we', 'show', 'that', 'these', 'spaces', 'are', 'irreducible', 'whenever', 'they', 'are', 'nonempty', 'and', 'obtain', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'nonemptiness']] | [-0.24468649052605443, 0.12922951465780888, -0.0623837229437553, 0.0037025893951387525, -0.01821872445109945, -0.15091796667611862, 0.0271924554119603, 0.34639481313854126, -0.2897974082606507, -0.1992931466877133, 0.07127458752634433, -0.246682439050586, -0.09660646362117604, 0.23726558101690978, -0.06605626935917107, -0.012403747189667198, 0.05376822796169218, 0.1195887611964001, -0.07163088799807356, -0.2898375902882685, 0.42178326272047484, -0.04611741059592792, 0.20075110833743934, 0.04945345204528216, 0.14059471765758244, 0.028772032244008157, 0.020263615363676633, 0.004025063996208361, -0.15406198961608134, 0.14773680461099842, 0.25025536599927223, 0.15622999968651968, 0.20078769446974928, -0.32923051356696165, -0.1636260641267994, 0.20287451846013357, 0.10417543393706873, -0.004955108515447476, 0.08040686584957926, -0.2389657024427184, 0.14417621726681898, -0.10172610856726341, -0.14515853795008019, -0.09926629565901808, 0.14790470201322542, 0.019820689098336376, -0.2969705798294764, -0.03136150452441403, 0.07893112455341188, 0.11553071005075433, -0.08545972718882815, -0.1274325700814498, -0.10681550143092133, 0.041730518164983084, -0.054518800745667007, 0.06497027550230396, 0.06497653618270716, -0.09632403536566667, -0.07730743141619714, 0.36941831978037953, -0.06434357341808769, -0.20105552558715528, 0.15175125831328742, -0.1349512926292616, -0.07124813514055459, 0.14823318009551328, 0.1908485737250565, 0.17145545522274275, -0.012949511500914673, 0.22693213097659032, -0.09311938162951904, 0.15505429916083813, 0.039141926187817214, 0.02543982007325842, 0.14500177965837194, 0.1233522965787695, 0.11992872136921345, 0.09099467738229618, -0.05207419910232772, 0.01104506577306253, -0.4099667582579039, -0.22484372464612454, -0.11682802573956835, 0.1197679516255528, -0.10571441362333064, -0.15119394627246227, 0.3832055639352772, 0.004387582529459026, 0.24907916642029534, 0.04028156557079446, 0.21568437324898257, 0.08871963448952985, -0.044412532924920076, 0.07934146548447372, 0.1401221753701895, 0.184099219442642, -0.027701002183615916, -0.18672103530491937, 0.024902229934193932, 0.1284527972540153] |
707.0984 | p-Adic and Adelic Rational Dynamical Systems | In the framework of adelic approach we consider real and p-adic properties of
dynamical system given by linear fractional map f (x) = (a x + b)/(c x + d),
where a, b, c and d are rational numbers. In particular, we investigate
behavior of this adelic dynamical system when fixed points are rational. It is
shown that any of rational fixed points is p-adic indifferent for all but a
finite set of primes. Only for finite number of p-adic cases a rational fixed
point may be attractive or repelling. The present analysis is a continuation of
the paper math-ph/0612058. Some possible generalizations are discussed.
| math-ph math.DS math.MP nlin.CD | in the framework of adelic approach we consider real and padic properties of dynamical system given by linear fractional map f x a x bc x d where a b c and d are rational numbers in particular we investigate behavior of this adelic dynamical system when fixed points are rational it is shown that any of rational fixed points is padic indifferent for all but a finite set of primes only for finite number of padic cases a rational fixed point may be attractive or repelling the present analysis is a continuation of the paper mathph0612058 some possible generalizations are discussed | [['in', 'the', 'framework', 'of', 'adelic', 'approach', 'we', 'consider', 'real', 'and', 'padic', 'properties', 'of', 'dynamical', 'system', 'given', 'by', 'linear', 'fractional', 'map', 'f', 'x', 'a', 'x', 'bc', 'x', 'd', 'where', 'a', 'b', 'c', 'and', 'd', 'are', 'rational', 'numbers', 'in', 'particular', 'we', 'investigate', 'behavior', 'of', 'this', 'adelic', 'dynamical', 'system', 'when', 'fixed', 'points', 'are', 'rational', 'it', 'is', 'shown', 'that', 'any', 'of', 'rational', 'fixed', 'points', 'is', 'padic', 'indifferent', 'for', 'all', 'but', 'a', 'finite', 'set', 'of', 'primes', 'only', 'for', 'finite', 'number', 'of', 'padic', 'cases', 'a', 'rational', 'fixed', 'point', 'may', 'be', 'attractive', 'or', 'repelling', 'the', 'present', 'analysis', 'is', 'a', 'continuation', 'of', 'the', 'paper', 'mathph0612058', 'some', 'possible', 'generalizations', 'are', 'discussed']] | [-0.2525550478223324, 0.09192109634491182, -0.13841917611068427, 0.053897543789560694, -0.04998953754571036, -0.19832856453134504, 0.07690391957755247, 0.3011657509510175, -0.30522410489047075, -0.17876295245593726, 0.0788056932615651, -0.27733856853614053, -0.17474263975867024, 0.1969800894632751, -0.07670520402786166, 0.07088720124436192, -0.002442302113159163, 0.11985922402397979, -0.08249071606787585, -0.3083472373724758, 0.36626372289945286, -0.09143026383353932, 0.1603955219656524, 0.02807138577140499, 0.10446728905201844, 0.01017989395739566, -0.004900864947882324, 0.004383817779736353, -0.12581448978319415, 0.08274604835187888, 0.2940224784951989, 0.0691930662361112, 0.2950975730793901, -0.34148518952292084, -0.18828839954394516, 0.23372830998263147, 0.1409053954867517, 0.002053599434646566, -0.016326068324212094, -0.21226844886815785, 0.1520530028605262, -0.12668801359094606, -0.18335959155776418, -0.0985822073359153, 0.10512535250976239, 0.09518077902929249, -0.297381022968099, -0.020157744711504715, 0.07479174557029002, 0.18658797407873196, -0.05288494647812504, -0.13311944560074054, -0.03127019009368476, 0.07250827067850923, 0.008138532862113327, 0.09845110680446914, 0.08863118683255397, -0.06620350982855526, -0.07436396664764622, 0.40597345156244713, -0.03690788680964177, -0.24306939892692142, 0.16894944883089993, -0.18535811879607564, -0.1578526759709204, 0.1202063601381044, 0.131281323970692, 0.16425367028424792, -0.0752974632964066, 0.20655991509902558, -0.1384173555594712, 0.09981298611855531, 0.07886107251656675, -0.023991804809706047, 0.20977420071001615, 0.07490917004294473, 0.07408143474725029, 0.1362621836896783, -0.008970167151292657, -0.07878526683843759, -0.3851661247634652, -0.15551962199998964, -0.16576312284681505, 0.10349989324775848, -0.09184921930266295, -0.18387172747452946, 0.35067148205575227, 0.09724143538093839, 0.22279152869809382, 0.0799416222351391, 0.21905718779763078, 0.13349484726870178, -0.04606383547502671, 0.03473025939362769, 0.09014342606930975, 0.10445428616828331, -0.021170889529962055, -0.1380628047806054, -0.012052909512589178, 0.1429218502489315] |
707.0985 | Rotating molecules in optical lattices, alignment and monopole crystals | The recent progress towards production of near-ground state
quantum-degenerate molecules raises the issue of how such "small" molecules
behave in an optical lattice. In this Letter we show that the coupling of the
molecular orientation to the local electric field direction will provide
severalnew phenomena. In the case where the lasers forming different
crystallographic directions of the lattice are incoherent, the orientation of
the molecules is conserved (for L = 1) and a novel form of anisotropic
superfluidity can be expected. When the lasers are coherent, and the optical
lattice is such that the splitting of the rotational levels is large compared
to the centre of mass energies,an adiabaic description of the molecular
orientation is appropriate. This leads to geometric vector potentials,
pseudo-magnetic monopoles and a frustrated band structure with degenerate
minima.
| cond-mat.other | the recent progress towards production of nearground state quantumdegenerate molecules raises the issue of how such small molecules behave in an optical lattice in this letter we show that the coupling of the molecular orientation to the local electric field direction will provide severalnew phenomena in the case where the lasers forming different crystallographic directions of the lattice are incoherent the orientation of the molecules is conserved for l 1 and a novel form of anisotropic superfluidity can be expected when the lasers are coherent and the optical lattice is such that the splitting of the rotational levels is large compared to the centre of mass energiesan adiabaic description of the molecular orientation is appropriate this leads to geometric vector potentials pseudomagnetic monopoles and a frustrated band structure with degenerate minima | [['the', 'recent', 'progress', 'towards', 'production', 'of', 'nearground', 'state', 'quantumdegenerate', 'molecules', 'raises', 'the', 'issue', 'of', 'how', 'such', 'small', 'molecules', 'behave', 'in', 'an', 'optical', 'lattice', 'in', 'this', 'letter', 'we', 'show', 'that', 'the', 'coupling', 'of', 'the', 'molecular', 'orientation', 'to', 'the', 'local', 'electric', 'field', 'direction', 'will', 'provide', 'severalnew', 'phenomena', 'in', 'the', 'case', 'where', 'the', 'lasers', 'forming', 'different', 'crystallographic', 'directions', 'of', 'the', 'lattice', 'are', 'incoherent', 'the', 'orientation', 'of', 'the', 'molecules', 'is', 'conserved', 'for', 'l', '1', 'and', 'a', 'novel', 'form', 'of', 'anisotropic', 'superfluidity', 'can', 'be', 'expected', 'when', 'the', 'lasers', 'are', 'coherent', 'and', 'the', 'optical', 'lattice', 'is', 'such', 'that', 'the', 'splitting', 'of', 'the', 'rotational', 'levels', 'is', 'large', 'compared', 'to', 'the', 'centre', 'of', 'mass', 'energiesan', 'adiabaic', 'description', 'of', 'the', 'molecular', 'orientation', 'is', 'appropriate', 'this', 'leads', 'to', 'geometric', 'vector', 'potentials', 'pseudomagnetic', 'monopoles', 'and', 'a', 'frustrated', 'band', 'structure', 'with', 'degenerate', 'minima']] | [-0.19126701437744487, 0.22567489801906504, -0.040316471342521254, 0.017789982122849324, -0.04126190100578242, -0.08845824005038594, 0.017567115070960426, 0.42583594695315696, -0.29638500383953215, -0.24777201924007386, 0.02680368936398736, -0.2510688204492908, -0.09837470862476039, 0.1376375344407279, 0.005683880419880438, -0.0005712962956749834, 0.017581093225089717, -0.0013072074814317602, -0.04518742936124909, -0.20207675500478217, 0.30234521492093336, 0.04959497775234922, 0.30245660486252746, 0.0810613367584665, 0.06291773080920393, -0.015028963702206966, 0.06275737857367858, -0.00937349061769055, -0.11455074420939582, 0.16305219568312168, 0.22004403517348692, -0.013414165914582554, 0.19653303663835686, -0.43298248579958454, -0.18990714133360598, 0.079108182318123, 0.14596051059515958, 0.19999589597500744, -0.051865860803445685, -0.2465431968030316, 0.03869230199052254, -0.10910793619405013, -0.17763993793778354, -0.07561236390392878, 0.02716471305666346, 0.07396211015293375, -0.2478495426498739, 0.08106232088175602, 0.051130523714164156, 0.08182933240641432, -0.08390444564247446, -0.11167426850443007, -0.04634417866873264, 0.10768584633046885, 0.04072282183005882, 0.08729547615075717, 0.15603765452033258, -0.16716608835486113, -0.11360206666358863, 0.4383660737948958, -0.05705761233821249, -0.16868208453888656, 0.18434884636008064, -0.16260994828189723, -0.11898877070416347, 0.13721039926167578, 0.14691901867354318, 0.11105343953386182, -0.09613303362050374, 0.07025670021766928, -0.05727627749729436, 0.13710684758370917, 0.03884156270214589, 0.08306470773823094, 0.26867839125043247, 0.15489368958515115, 0.08248616760101868, 0.13253840210290946, -0.1300474414601922, -0.10441012768751534, -0.262094414094463, -0.1681973955637659, -0.1815029465360567, 0.08492967452002631, -0.046751473851713854, -0.1454868809923937, 0.38757411907317874, 0.1251412458914274, 0.21183861391909886, -0.06511894452705747, 0.26198950539401267, 0.10324424350255867, 0.05997185069281841, 0.013409543637862953, 0.2793570501016802, 0.14978265055106021, 0.06705843191593885, -0.261254715755058, 0.004579530327646353, 0.006281385079091706] |
707.0986 | Limits of the uni-directional pulse propagation approximation | I apply the method of characteristics to both bi-directional and
uni-directional pulse propagation in dispersionless media containing
nonlinearity of arbitrary order. The differing analytic predictions for the
shocking distance quantify the effects of the uni-directional approximation
used in many pulse propagation models. Results from numerical simulations
support the theoretical predictions, and reveal the nature of the coupling
between forward and backward waves.
| physics.optics | i apply the method of characteristics to both bidirectional and unidirectional pulse propagation in dispersionless media containing nonlinearity of arbitrary order the differing analytic predictions for the shocking distance quantify the effects of the unidirectional approximation used in many pulse propagation models results from numerical simulations support the theoretical predictions and reveal the nature of the coupling between forward and backward waves | [['i', 'apply', 'the', 'method', 'of', 'characteristics', 'to', 'both', 'bidirectional', 'and', 'unidirectional', 'pulse', 'propagation', 'in', 'dispersionless', 'media', 'containing', 'nonlinearity', 'of', 'arbitrary', 'order', 'the', 'differing', 'analytic', 'predictions', 'for', 'the', 'shocking', 'distance', 'quantify', 'the', 'effects', 'of', 'the', 'unidirectional', 'approximation', 'used', 'in', 'many', 'pulse', 'propagation', 'models', 'results', 'from', 'numerical', 'simulations', 'support', 'the', 'theoretical', 'predictions', 'and', 'reveal', 'the', 'nature', 'of', 'the', 'coupling', 'between', 'forward', 'and', 'backward', 'waves']] | [-0.1477651297595472, 0.07493028703386025, -0.08456931144539867, 0.09051124632054369, -0.09467478530977162, -0.104790365353467, 0.02613241183421304, 0.40597282926882466, -0.2961300950677645, -0.2687445524404006, 0.03250135378085918, -0.30679300051152464, -0.14976781999482022, 0.21353523610460182, 0.08290816765398748, 0.08019749108221262, 0.05998701476041348, -0.044543596904634705, -0.037020057372208086, -0.1429750644549072, 0.27401277245653255, 0.03448805609537709, 0.3317290882790281, 0.06157851662682069, 0.09882252814338333, 0.014656329527497292, -0.0677439256781532, -0.030464041076840892, -0.13079442047784406, 0.10156391143438316, 0.21100648778244044, 0.047743356966924284, 0.23168079196775873, -0.5253746623714124, -0.29017236747688824, 0.004723846356594755, 0.1372378292256936, 0.17227225462275167, -0.04784897604822031, -0.2968750161929957, 0.04345868117806892, -0.1425985745116768, -0.15192301074163087, -0.013514706981368363, -0.008250329448210617, 0.12097872015569479, -0.25272969310847865, 0.08602961989480161, 0.06996536527519985, 0.004841815875542741, -0.05899770791462112, -0.0280706656255549, -0.0434385098877453, 0.12239211839961729, 0.07589710262536462, -0.02368276479143289, 0.020997333775965438, -0.15525224720758776, -0.1475297824044021, 0.38477849198745623, -0.10390463437051362, -0.20874815519275744, 0.2072510737925768, -0.13024232817734893, -0.0028613086324185133, 0.1691613927138068, 0.26010130732620673, 0.07349248403202623, -0.07593372049591234, -0.015209720044719776, 0.012731563818130282, 0.15807441349006107, 0.0936478670806654, 0.0332639324929445, 0.1580239238758241, 0.1444701798891108, -0.042065834146811656, 0.07491958041810581, -0.11332738918492631, -0.1273803097766734, -0.31690902249406905, -0.07649446709171659, -0.11490878817294875, 0.0005569138879617376, -0.1360147061239977, -0.13018206612116867, 0.4289381549122833, 0.22774783490345843, 0.159973525690035, 0.04710470420503689, 0.30032369404310183, 0.11420560652960933, -0.020485248251427567, 0.0874575670327871, 0.2887492727022618, 0.22003089447295474, 0.0989849221171631, -0.2651246303444608, 0.09972272966537744, 0.014255406057101584] |
707.0987 | Inversion model validation of ground emissivity. Contribution to the
development of SMOS algorithm | SMOS (Soil Moisture and Ocean Salinity), is the second mission of 'Earth
Explorer' to be developed within the program 'Living Planet' of the European
Space Agency (ESA). This satellite, containing the very first 1.4GHz
interferometric radiometer 2D, will carry out the first cartography on a
planetary scale of the moisture of the grounds and the salinity of the oceans.
The forests are relatively opaque, and the knowledge of moisture remains
problematic. The effect of the vegetation can be corrected thanks a simple
radiative model. Nevertheless simulations show that the effect of the litter on
the emissivity of a system litter + ground is not negligible. Our objective is
to highlight the effects of this layer on the total multi layer system. This
will make it possible to lead to a simple analytical formulation of a model of
litter which can be integrated into the calculation algorithm of SMOS.
Radiometer measurements, coupled to dielectric characterizations of samples in
laboratory can enable us to characterize the geological structure. The goal of
this article is to present the step which we chose to validate this analytical
model.
| physics.geo-ph | smos soil moisture and ocean salinity is the second mission of earth explorer to be developed within the program living planet of the european space agency esa this satellite containing the very first 14ghz interferometric radiometer 2d will carry out the first cartography on a planetary scale of the moisture of the grounds and the salinity of the oceans the forests are relatively opaque and the knowledge of moisture remains problematic the effect of the vegetation can be corrected thanks a simple radiative model nevertheless simulations show that the effect of the litter on the emissivity of a system litter ground is not negligible our objective is to highlight the effects of this layer on the total multi layer system this will make it possible to lead to a simple analytical formulation of a model of litter which can be integrated into the calculation algorithm of smos radiometer measurements coupled to dielectric characterizations of samples in laboratory can enable us to characterize the geological structure the goal of this article is to present the step which we chose to validate this analytical model | [['smos', 'soil', 'moisture', 'and', 'ocean', 'salinity', 'is', 'the', 'second', 'mission', 'of', 'earth', 'explorer', 'to', 'be', 'developed', 'within', 'the', 'program', 'living', 'planet', 'of', 'the', 'european', 'space', 'agency', 'esa', 'this', 'satellite', 'containing', 'the', 'very', 'first', '14ghz', 'interferometric', 'radiometer', '2d', 'will', 'carry', 'out', 'the', 'first', 'cartography', 'on', 'a', 'planetary', 'scale', 'of', 'the', 'moisture', 'of', 'the', 'grounds', 'and', 'the', 'salinity', 'of', 'the', 'oceans', 'the', 'forests', 'are', 'relatively', 'opaque', 'and', 'the', 'knowledge', 'of', 'moisture', 'remains', 'problematic', 'the', 'effect', 'of', 'the', 'vegetation', 'can', 'be', 'corrected', 'thanks', 'a', 'simple', 'radiative', 'model', 'nevertheless', 'simulations', 'show', 'that', 'the', 'effect', 'of', 'the', 'litter', 'on', 'the', 'emissivity', 'of', 'a', 'system', 'litter', 'ground', 'is', 'not', 'negligible', 'our', 'objective', 'is', 'to', 'highlight', 'the', 'effects', 'of', 'this', 'layer', 'on', 'the', 'total', 'multi', 'layer', 'system', 'this', 'will', 'make', 'it', 'possible', 'to', 'lead', 'to', 'a', 'simple', 'analytical', 'formulation', 'of', 'a', 'model', 'of', 'litter', 'which', 'can', 'be', 'integrated', 'into', 'the', 'calculation', 'algorithm', 'of', 'smos', 'radiometer', 'measurements', 'coupled', 'to', 'dielectric', 'characterizations', 'of', 'samples', 'in', 'laboratory', 'can', 'enable', 'us', 'to', 'characterize', 'the', 'geological', 'structure', 'the', 'goal', 'of', 'this', 'article', 'is', 'to', 'present', 'the', 'step', 'which', 'we', 'chose', 'to', 'validate', 'this', 'analytical', 'model']] | [-0.0666676104963182, 0.10901790082230757, -0.10687729052542785, 0.029557630571770823, -0.0874152363194, -0.044729085088213855, 0.051299604362060054, 0.3461394506440462, -0.23647931748441334, -0.330822414682944, 0.13798094011749054, -0.2717191186260249, -0.1446884220645412, 0.18758737716106239, -0.07058530120825385, 0.04836038641550176, 0.06094827939618806, -0.01860496495427981, -0.005763120398681122, -0.24289364893818935, 0.2663700828135339, 0.14737932057796768, 0.22958876644490195, 0.06679294455562378, 0.11283237778116018, -0.07955474344901536, -0.06784541075896533, 0.010367058784175471, -0.12582755966839296, 0.12161118187051002, 0.2667368498523949, 0.11787441595014735, 0.2430312721061271, -0.46955392260328344, -0.24302373028009153, 0.05873437474044091, 0.05818866232163247, 0.08627257799816221, 0.026038018625886103, -0.2606834993326192, 0.03732414649229476, -0.18669201605037222, -0.12762231529369705, -0.03614808379384928, -0.014733415117354992, -0.019340644040923626, -0.26488721631931733, 0.017968926125821846, 0.014111488211939437, 0.06721203995084828, -0.12519145428961337, -0.09878988071507647, -0.06470633628829052, 0.16360863218786287, 0.02378261552759716, 0.002764987608524742, 0.1562579408786743, -0.08351142812123308, 0.000142848653505083, 0.40717438326466604, -0.08055244699944972, -0.15564792168382657, 0.1703301461316808, -0.15008719366227016, -0.1052832435231269, 0.1262622596848695, 0.22789680108789334, 0.10530004535847512, -0.20371147735544373, 0.039561268030296845, -0.06041083250785134, 0.21665543788736127, 0.03181762920687474, -0.026050573459169904, 0.25598867134766173, 0.23422696736585247, 0.07588889288380131, 0.15304596747635593, -0.16640625881728374, -0.04569504883546189, -0.2626500856080423, -0.18508731971413425, -0.16264793659239762, 0.016361507124415742, -0.051776337448543805, -0.18562129525152224, 0.3914023552807506, 0.2111789038470982, 0.12825644431671362, 0.01959554152690444, 0.3330456368889802, 0.053163085566691116, 0.08246728897735965, 0.017943603108893723, 0.29285072595837824, 0.10537261477432372, 0.12940479931103505, -0.22884854949553385, 0.10273316329538497, 0.02071178958323769] |
707.0988 | Model-independent Analysis of Lepton Flavour Violating Tau Decays | Many models for physics beyond the Standard Model predict lepton-flavour
violating decays of charged leptons at a level which may become observable very
soon. In the present paper we investigate the decays of a Tau into three
charged leptons in a generic way, based on effective-field-theory methods,
where the relevant operators are classified according to their chirality
structure. We work out the decay distributions and discuss phenomenological
implications.
| hep-ph | many models for physics beyond the standard model predict leptonflavour violating decays of charged leptons at a level which may become observable very soon in the present paper we investigate the decays of a tau into three charged leptons in a generic way based on effectivefieldtheory methods where the relevant operators are classified according to their chirality structure we work out the decay distributions and discuss phenomenological implications | [['many', 'models', 'for', 'physics', 'beyond', 'the', 'standard', 'model', 'predict', 'leptonflavour', 'violating', 'decays', 'of', 'charged', 'leptons', 'at', 'a', 'level', 'which', 'may', 'become', 'observable', 'very', 'soon', 'in', 'the', 'present', 'paper', 'we', 'investigate', 'the', 'decays', 'of', 'a', 'tau', 'into', 'three', 'charged', 'leptons', 'in', 'a', 'generic', 'way', 'based', 'on', 'effectivefieldtheory', 'methods', 'where', 'the', 'relevant', 'operators', 'are', 'classified', 'according', 'to', 'their', 'chirality', 'structure', 'we', 'work', 'out', 'the', 'decay', 'distributions', 'and', 'discuss', 'phenomenological', 'implications']] | [-0.041136196396751874, 0.21482684285301196, -0.0801472616423031, 0.17566819478045492, -0.04471197419950519, -0.18679020657231482, 0.03554811226101318, 0.2874710483832614, -0.24579695915556787, -0.2660830793902278, 0.03433994564008625, -0.3006544211906764, -0.06337993744048565, 0.14482334873515784, 0.06979424754322014, 0.053606883088565045, 0.044890087782679236, 0.013743928626782316, -0.07533848982797388, -0.17684653769452674, 0.30369755016256345, 0.028593059834640694, 0.22091364811914152, 0.07624797883224399, 0.009816928684492321, -0.01572174095096724, -0.07793483349001583, -0.010313162365384735, -0.12580036267172545, 0.06359814562978607, 0.15322218955433903, 0.09600368587930194, 0.174696235503207, -0.43492652075913024, -0.1532015908160247, 0.16668046326102579, 0.2028299571110812, 0.1238769677327261, -0.07020623408949606, -0.32885453867835596, 0.07505793788004667, -0.1970529647626202, -0.10159337109721758, -0.12320448382182375, -0.009741441031698795, -0.0562799860490486, -0.3034035160920158, 0.03629498113193275, 0.0004724532927331679, -0.005725533167338546, -0.03696974706562126, -0.17931132824934834, 0.01310969008516301, 0.07770396186970174, 0.15926207203900797, -0.03703513375598157, 0.15025720122845515, -0.16595743889304096, -0.1916950898217585, 0.43274529639850645, -0.05837131442283006, -0.22538006996653756, 0.20538348138934986, -0.19207231501829536, -0.23404115195016323, 0.05281122886877069, 0.2578905402984032, 0.12383448746164932, -0.2022428893191425, 0.13566284877956872, -0.015246450743528412, 0.09531782155938666, 0.01057802526252892, 0.09908313305555459, 0.3018435592050938, 0.22588841296622858, -0.010643884150126456, 0.08039945020230815, -0.07409989321604371, -0.06696390742025174, -0.3936899235910353, -0.16619793566710808, -0.05998279519296963, 0.06745736203704249, 0.011364414733500727, -0.1227994383970166, 0.45993027089656713, 0.14347154186757774, 0.27901215289774184, 0.02720441306455006, 0.2623245114022318, 0.06174800548401168, 0.06368288956924945, 0.049480148769148136, 0.296121584251523, 0.11533603435108329, 0.08706153900472119, -0.17340043826740892, 0.052132491727688295, 0.0593846224125146] |
707.0989 | The integral of the supremum process of Brownian motion | In this paper we study the integral of the supremum process of standard
Brownian motion. We present an explicit formula for the moments of the integral
(or area) A(T), covered by the process in the time interval [0,T]. The Laplace
transform of A(T) follows as a consequence. The main proof involves a double
Laplace transform of A(T) and is based on excursion theory and local time for
Brownian motion.
| math.PR | in this paper we study the integral of the supremum process of standard brownian motion we present an explicit formula for the moments of the integral or area at covered by the process in the time interval 0t the laplace transform of at follows as a consequence the main proof involves a double laplace transform of at and is based on excursion theory and local time for brownian motion | [['in', 'this', 'paper', 'we', 'study', 'the', 'integral', 'of', 'the', 'supremum', 'process', 'of', 'standard', 'brownian', 'motion', 'we', 'present', 'an', 'explicit', 'formula', 'for', 'the', 'moments', 'of', 'the', 'integral', 'or', 'area', 'at', 'covered', 'by', 'the', 'process', 'in', 'the', 'time', 'interval', '0t', 'the', 'laplace', 'transform', 'of', 'at', 'follows', 'as', 'a', 'consequence', 'the', 'main', 'proof', 'involves', 'a', 'double', 'laplace', 'transform', 'of', 'at', 'and', 'is', 'based', 'on', 'excursion', 'theory', 'and', 'local', 'time', 'for', 'brownian', 'motion']] | [-0.0770470703938517, 0.06498918576571801, -0.13406680322562656, 0.048332881245121403, -0.055402242848514645, -0.004348388927030391, 0.05263233891067406, 0.34685695650388376, -0.3169542840425519, -0.24462114142227, 0.14588004255842796, -0.26279791817743925, -0.1209765791359857, 0.22053954604189788, -0.08247386097260144, 0.05231024748038338, 0.01063354400769416, 0.08280680344804474, -0.02001184872958971, -0.18167142291971738, 0.31212328115910076, 0.011476718631667503, 0.20623227743350941, 0.031841448420469744, 0.17877587263701836, 0.08393968413651422, -0.07119583360094955, -0.048515273986951164, -0.1795207608383203, 0.11373333331953356, 0.1540144075895997, 0.031906901109639715, 0.2861632439645304, -0.44253849861738476, -0.1371907194733849, 0.07114006251609628, 0.16126478989811047, 0.013469972593736822, -0.03426280497418096, -0.2903001665043226, 0.032871747308451195, -0.06992242311167976, -0.176078937512458, -0.019701451562560986, 0.07582673654500124, 0.04285495222775616, -0.2904405085558909, 0.12809868993075646, 0.12984693632123695, 0.05950776484889397, -0.05480664736672264, -0.10855523502265198, 0.0681595402850729, 0.08865538387613343, 0.056660859166489295, 0.013786205640602588, 0.12541030381765703, -0.06812520240234426, -0.12325269164706486, 0.34054218659150426, -0.13247652733833462, -0.19834502954103483, 0.09933268457340698, -0.19506242662749212, -0.14106264664535073, 0.14646953742519236, 0.14321902054159538, 0.17837642341096333, -0.17644797554374606, 0.16956433432979806, 0.00020624355723460516, 0.07690832044497348, 0.07995355465327916, -0.026122903846123296, 0.17394076124427543, 0.18050778575201074, 0.11535131940753132, 0.17359816458454166, -0.11340804476007495, -0.15046485351479572, -0.41997543549624045, -0.24114508251997008, -0.262123450015982, 0.060380284910670656, -0.09084189866721779, -0.18404062939942747, 0.3683152007262992, 0.08625619696534198, 0.19124515408623047, 0.14713807174585003, 0.27317230678770854, 0.2228950698559672, 0.003930336107378421, 0.018529844453450347, 0.10841669620055219, 0.0962978539671209, 0.12264875769682661, -0.18012762309450225, 0.030975823904779078, 0.1576073496615973] |
707.099 | Theory of the fractional microwave-induced resistance oscillations | We develop a systematic theory of microwave-induced oscillations in
magnetoresistivity of a 2D electron gas in the vicinity of fractional harmonics
of the cyclotron resonance, observed in recent experiments. We show that in the
limit of well-separated Landau levels the effect is dominated by a change of
the distribution function induced by multiphoton processes. At moderate
magnetic field, a single-photon mechanism originating from the
microwave-induced sidebands in the density of states of disorder-broadened
Landau levels becomes important.
| cond-mat.mes-hall cond-mat.dis-nn | we develop a systematic theory of microwaveinduced oscillations in magnetoresistivity of a 2d electron gas in the vicinity of fractional harmonics of the cyclotron resonance observed in recent experiments we show that in the limit of wellseparated landau levels the effect is dominated by a change of the distribution function induced by multiphoton processes at moderate magnetic field a singlephoton mechanism originating from the microwaveinduced sidebands in the density of states of disorderbroadened landau levels becomes important | [['we', 'develop', 'a', 'systematic', 'theory', 'of', 'microwaveinduced', 'oscillations', 'in', 'magnetoresistivity', 'of', 'a', '2d', 'electron', 'gas', 'in', 'the', 'vicinity', 'of', 'fractional', 'harmonics', 'of', 'the', 'cyclotron', 'resonance', 'observed', 'in', 'recent', 'experiments', 'we', 'show', 'that', 'in', 'the', 'limit', 'of', 'wellseparated', 'landau', 'levels', 'the', 'effect', 'is', 'dominated', 'by', 'a', 'change', 'of', 'the', 'distribution', 'function', 'induced', 'by', 'multiphoton', 'processes', 'at', 'moderate', 'magnetic', 'field', 'a', 'singlephoton', 'mechanism', 'originating', 'from', 'the', 'microwaveinduced', 'sidebands', 'in', 'the', 'density', 'of', 'states', 'of', 'disorderbroadened', 'landau', 'levels', 'becomes', 'important']] | [-0.1890654645069478, 0.24436259634986326, -0.0673504494094326, 0.07332446097922452, 0.04787703917978646, -0.04528535979908782, 0.08706995661449074, 0.30157637642091745, -0.22188443723195173, -0.29726369311283163, -0.042679969736907096, -0.2941579996523532, -0.14295330118121846, 0.18831022994520216, 0.019597034701811417, 0.00771094846248917, 0.003591877686512935, -0.030469021167267452, -0.025499779232112423, -0.10833533725084422, 0.3533861603551581, 0.07047834567870799, 0.3154704766529431, 0.09082807919204042, 0.08577522458871464, -0.023692856996332282, 0.03971099872263027, 0.002804328826582664, -0.08542112299373794, 0.04470650791477823, 0.23929252848029137, -0.06762009622021155, 0.28961504209641514, -0.45280188855612286, -0.21062394483135893, -0.008448492929145887, 0.14140807569946173, 0.16537640655002037, -0.07125617084758622, -0.2827690949167621, 0.0004675198926941141, -0.12573774781852187, -0.1398807926611467, -0.028958311207689248, 0.0015133121126488626, -0.021589921757143426, -0.2752566910167406, 0.1884842836933041, 0.08280091274336174, 0.09446690949103372, -0.06922718784590433, -0.10357043811107998, -0.033466272116578245, 0.04429867648362339, 0.04003668809007224, 0.015592632871181643, 0.17524593801225546, -0.17282098826238668, -0.17218329145440034, 0.34009627240722057, -0.14525545571700899, -0.09103059552174497, 0.1291320411270702, -0.30509865506515876, -0.10804458956125301, 0.22372262632208212, 0.13657883866750575, 0.09727597313437175, -0.06430470648330527, 0.08611111777120983, -0.011346071941911109, 0.1331566966489538, 0.08378773899567495, 0.08827451690910505, 0.24920961067878775, 0.14891311938741378, 0.019840789608076795, 0.15362112341424475, -0.1807894766959664, -0.044049539010633125, -0.2707795963271872, -0.09438735481303234, -0.17693671726851495, 0.05845338302700744, -0.0006281886394921835, -0.18045728616779308, 0.44722078456966713, 0.12385421530525019, 0.20996367878147534, -0.09594594365796195, 0.28575178501861437, 0.2369619539164781, 0.04734783103181557, -0.0023366359679342866, 0.2770326774228703, 0.18099784135951527, 0.09909867120350337, -0.3265018221625889, 0.013254149304400501, 0.0024168549571186304] |
707.0991 | Tail estimates for the Brownian excursion area and other Brownian areas | Several Brownian areas are considered in this paper: the Brownian excursion
area, the Brownian bridge area, the Brownian motion area, the Brownian meander
area, the Brownian double meander area, the positive part of Brownian bridge
area, the positive part of Brownian motion area. We are interested in the
asymptotics of the right tail of their density function. Inverting a double
Laplace transform, we can derive, in a mechanical way, all terms of an
asymptotic expansion. We illustrate our technique with the computation of the
first four terms. We also obtain asymptotics for the right tail of the
distribution function and for the moments. Our main tool is the two-dimensional
saddle point method.
| math.PR | several brownian areas are considered in this paper the brownian excursion area the brownian bridge area the brownian motion area the brownian meander area the brownian double meander area the positive part of brownian bridge area the positive part of brownian motion area we are interested in the asymptotics of the right tail of their density function inverting a double laplace transform we can derive in a mechanical way all terms of an asymptotic expansion we illustrate our technique with the computation of the first four terms we also obtain asymptotics for the right tail of the distribution function and for the moments our main tool is the twodimensional saddle point method | [['several', 'brownian', 'areas', 'are', 'considered', 'in', 'this', 'paper', 'the', 'brownian', 'excursion', 'area', 'the', 'brownian', 'bridge', 'area', 'the', 'brownian', 'motion', 'area', 'the', 'brownian', 'meander', 'area', 'the', 'brownian', 'double', 'meander', 'area', 'the', 'positive', 'part', 'of', 'brownian', 'bridge', 'area', 'the', 'positive', 'part', 'of', 'brownian', 'motion', 'area', 'we', 'are', 'interested', 'in', 'the', 'asymptotics', 'of', 'the', 'right', 'tail', 'of', 'their', 'density', 'function', 'inverting', 'a', 'double', 'laplace', 'transform', 'we', 'can', 'derive', 'in', 'a', 'mechanical', 'way', 'all', 'terms', 'of', 'an', 'asymptotic', 'expansion', 'we', 'illustrate', 'our', 'technique', 'with', 'the', 'computation', 'of', 'the', 'first', 'four', 'terms', 'we', 'also', 'obtain', 'asymptotics', 'for', 'the', 'right', 'tail', 'of', 'the', 'distribution', 'function', 'and', 'for', 'the', 'moments', 'our', 'main', 'tool', 'is', 'the', 'twodimensional', 'saddle', 'point', 'method']] | [-0.09924482929636724, 0.07760348638021242, -0.11528925794742204, 0.05144272704741785, -0.036622126965085045, -0.03615579948694046, 0.02559924886632611, 0.3581894165828479, -0.2980306149090341, -0.2648868892907298, 0.10925475635303883, -0.31196077524301863, -0.1885754229567413, 0.20443105507417517, -0.11317062928797636, 0.08849869351667751, -0.007954971627831193, 0.028644737596290985, 0.027820163855462203, -0.20131574907074018, 0.22695339168421924, 0.006057008078122246, 0.22529740432842768, 0.005940053878085954, 0.10869709302122439, 0.004945154879741105, -0.06491889855741258, -0.004036019206978381, -0.20257282052521727, 0.18127974937669933, 0.15162631774520768, -0.016121656663017347, 0.306493123893493, -0.3849419847164037, -0.13794341013220088, 0.09849869487308231, 0.18804883255922636, 0.020730616483238658, -0.04381996751596619, -0.306600601129633, 0.01496478369309833, -0.12906939210370183, -0.21617566519749484, -0.02970382635248825, 0.06161376138749931, 0.09039460639801941, -0.20021219302933396, 0.0947971037050073, 0.08832732605930817, 0.011766604680035795, -0.013375321024795994, -0.13157428674665944, 0.07295254339779993, 0.18255041610349768, 0.08240402979884363, -0.019117791843850034, 0.21224673946770573, -0.1432767471149938, -0.09781741817382031, 0.3167924765065046, -0.08894178838818334, -0.2640032290115154, 0.11642332790818598, -0.262366373482759, -0.11385542550124228, 0.13212221892484063, 0.13050153989960173, 0.14316205064200663, -0.20397770161590806, 0.15369832698187175, -0.029944625680010568, 0.05109084552350396, 0.08785006731549012, -0.026904364183012928, 0.21863033416281855, 0.15298780688317493, 0.14931091430688476, 0.2274314415574606, -0.18421349733086703, -0.171361994214489, -0.38757611461915076, -0.24272407981334254, -0.23080158534763281, 0.04280522897715855, -0.15651472934392327, -0.20945822304513836, 0.39695629071710364, 0.0778878262208309, 0.20135131818408677, 0.15447364345059864, 0.25326665228099693, 0.1918540605173413, -0.027767333000416068, 0.06027646894342199, 0.14817830173498286, 0.1435717648834855, 0.11949322529211973, -0.18452735058339645, 0.018678035000838072, 0.11314622639786519] |
707.0992 | Soft and hard X-ray excess emission in Abell 3112 observed with Chandra | Chandra ACIS-S observations of the galaxy cluster A3112 feature the presence
of an excess of X-ray emission above the contribution from the diffuse hot gas,
which can be equally well modeled with an additional non-thermal power-law
model or with a low-temperature thermal model of low metal abundance. We show
that the excess emission cannot be due to uncertainties in the background
subtraction or in the Galactic HI column density. Calibration uncertainties in
the ACIS detector that may affect our results are addressed by comparing the
Chandra data to XMM MOS and PN spectra. While differences between the three
instruments remain, all detect the excess in similar amounts, providing
evidence against an instrumental nature of the excess. Given the presence of
non-thermal radio emission near the center of A3112, we argue that the excess
X-ray emission is of non-thermal nature and distributed throughout the entire
X-ray bandpass, from soft to hard X-rays. The excess can be explained with the
presence of a population of relativistic electrons with ~7% of the cluster's
gas pressure. We also discuss a possible thermal nature of the excess, and
examine the problems associated with such interpretation.
| astro-ph | chandra aciss observations of the galaxy cluster a3112 feature the presence of an excess of xray emission above the contribution from the diffuse hot gas which can be equally well modeled with an additional nonthermal powerlaw model or with a lowtemperature thermal model of low metal abundance we show that the excess emission cannot be due to uncertainties in the background subtraction or in the galactic hi column density calibration uncertainties in the acis detector that may affect our results are addressed by comparing the chandra data to xmm mos and pn spectra while differences between the three instruments remain all detect the excess in similar amounts providing evidence against an instrumental nature of the excess given the presence of nonthermal radio emission near the center of a3112 we argue that the excess xray emission is of nonthermal nature and distributed throughout the entire xray bandpass from soft to hard xrays the excess can be explained with the presence of a population of relativistic electrons with 7 of the clusters gas pressure we also discuss a possible thermal nature of the excess and examine the problems associated with such interpretation | [['chandra', 'aciss', 'observations', 'of', 'the', 'galaxy', 'cluster', 'a3112', 'feature', 'the', 'presence', 'of', 'an', 'excess', 'of', 'xray', 'emission', 'above', 'the', 'contribution', 'from', 'the', 'diffuse', 'hot', 'gas', 'which', 'can', 'be', 'equally', 'well', 'modeled', 'with', 'an', 'additional', 'nonthermal', 'powerlaw', 'model', 'or', 'with', 'a', 'lowtemperature', 'thermal', 'model', 'of', 'low', 'metal', 'abundance', 'we', 'show', 'that', 'the', 'excess', 'emission', 'can', 'not', 'be', 'due', 'to', 'uncertainties', 'in', 'the', 'background', 'subtraction', 'or', 'in', 'the', 'galactic', 'hi', 'column', 'density', 'calibration', 'uncertainties', 'in', 'the', 'acis', 'detector', 'that', 'may', 'affect', 'our', 'results', 'are', 'addressed', 'by', 'comparing', 'the', 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707.0993 | Single-parameter non-adiabatic quantized charge pumping | Controlled charge pumping in an AlGaAs/GaAs gated nanowire by
single-parameter modulation is studied experimentally and theoretically.
Transfer of integral multiples of the elementary charge per modulation cycle is
clearly demonstrated. A simple theoretical model shows that such a quantized
current can be generated via loading and unloading of a dynamic quasi-bound
state. It demonstrates that non-adiabatic blockade of unwanted tunnel events
can obliterate the requirement of having at least two phase-shifted periodic
signals to realize quantized pumping. The simple configuration without multiple
pumping signals might find wide application in metrological experiments and
quantum electronics.
| cond-mat.mes-hall | controlled charge pumping in an algaasgaas gated nanowire by singleparameter modulation is studied experimentally and theoretically transfer of integral multiples of the elementary charge per modulation cycle is clearly demonstrated a simple theoretical model shows that such a quantized current can be generated via loading and unloading of a dynamic quasibound state it demonstrates that nonadiabatic blockade of unwanted tunnel events can obliterate the requirement of having at least two phaseshifted periodic signals to realize quantized pumping the simple configuration without multiple pumping signals might find wide application in metrological experiments and quantum electronics | [['controlled', 'charge', 'pumping', 'in', 'an', 'algaasgaas', 'gated', 'nanowire', 'by', 'singleparameter', 'modulation', 'is', 'studied', 'experimentally', 'and', 'theoretically', 'transfer', 'of', 'integral', 'multiples', 'of', 'the', 'elementary', 'charge', 'per', 'modulation', 'cycle', 'is', 'clearly', 'demonstrated', 'a', 'simple', 'theoretical', 'model', 'shows', 'that', 'such', 'a', 'quantized', 'current', 'can', 'be', 'generated', 'via', 'loading', 'and', 'unloading', 'of', 'a', 'dynamic', 'quasibound', 'state', 'it', 'demonstrates', 'that', 'nonadiabatic', 'blockade', 'of', 'unwanted', 'tunnel', 'events', 'can', 'obliterate', 'the', 'requirement', 'of', 'having', 'at', 'least', 'two', 'phaseshifted', 'periodic', 'signals', 'to', 'realize', 'quantized', 'pumping', 'the', 'simple', 'configuration', 'without', 'multiple', 'pumping', 'signals', 'might', 'find', 'wide', 'application', 'in', 'metrological', 'experiments', 'and', 'quantum', 'electronics']] | [-0.2402140029255261, 0.224955261921655, -0.029762702652233394, 0.018758589770902504, -0.018694919018827853, -0.2303051523358977, 0.07114112692478886, 0.4129799800984403, -0.2903845182649712, -0.2907740484051248, 0.01793422549219921, -0.22928966894408964, -0.15036571524266967, 0.25871325927994593, -0.037749422610083475, 0.04601819399172103, 0.043337183151186065, -0.021680162283294696, -0.021820544141364542, -0.16994227398746706, 0.1977145679671555, 0.030458786578086067, 0.3301466123220768, 0.07225996195933128, 0.12276235755850026, 0.018345672401916632, 0.07320268024774665, -0.026210443349555135, -0.0614743705975459, 0.026569913796575226, 0.2679208785572902, -0.018755351282418408, 0.1980103964501239, -0.47508516056621647, -0.23872277861896982, 0.04566827604170651, 0.15127428956924283, 0.15917795665928738, -0.09684380864169687, -0.2556997651749469, 0.09075471299125794, -0.20106375391813033, -0.07087654607033635, -0.10098746531900574, 0.007276861249726821, 0.008718876822039168, -0.2908265866894037, 0.06080968212583994, 0.04909963767351384, 0.05826944596272834, -0.03141505538456221, -0.05077615217429566, -0.035566425317541714, 0.07361011710909611, -0.054931736909140376, -0.014743182616199347, 0.21360896151275077, -0.10629974858974048, -0.19191445114011776, 0.30129274964689257, -0.08364599083173782, -0.16912642879253056, 0.15324567984591456, -0.16148610489239837, -0.014844803466521044, 0.16208778493145995, 0.10118327341339689, 0.08898345214324667, -0.14706268241787526, 0.011485514031014742, -0.005945532077408218, 0.1810020449908173, 0.10283191795237957, 0.06802251470830054, 0.26609680307979516, 0.17476812302211717, 0.06458062846015425, 0.16057070044855132, -0.11835466214316956, -0.10917202984924092, -0.2801143630163774, -0.12500033017862192, -0.22329550956257005, 0.1135936281544731, -0.018113891089593923, -0.1312901982059207, 0.43912907155785474, 0.13166720763918885, 0.15753108030185103, -0.063117495797416, 0.3309026252666607, 0.18446193022920968, 0.09059101618217066, -0.015237922502800505, 0.2662376973188502, 0.1288684873465211, 0.0744794960495362, -0.29345798450819355, 0.03549156286951868, -0.04291924559808475] |
707.0994 | Internal sets and internal functions in Colombeau theory | Inspired by nonstandard analysis, we define and study internal subsets and
internal functions in algebras of Colombeau generalized functions. We prove a
saturation principle for internal sets and provide applications to Colombeau
algebras.
| math.FA | inspired by nonstandard analysis we define and study internal subsets and internal functions in algebras of colombeau generalized functions we prove a saturation principle for internal sets and provide applications to colombeau algebras | [['inspired', 'by', 'nonstandard', 'analysis', 'we', 'define', 'and', 'study', 'internal', 'subsets', 'and', 'internal', 'functions', 'in', 'algebras', 'of', 'colombeau', 'generalized', 'functions', 'we', 'prove', 'a', 'saturation', 'principle', 'for', 'internal', 'sets', 'and', 'provide', 'applications', 'to', 'colombeau', 'algebras']] | [-0.11083660105412657, 0.04798892433896209, -0.10175327403527318, 0.1888241363745747, -0.1567869381132451, -0.04799498740414327, 0.014560930176892063, 0.3317615602052573, -0.3493271794057254, -0.21503188781383814, 0.08517640031464963, -0.2080310213125565, -0.1900020113045519, 0.17998731091166986, -0.13283942096556225, 0.009237911326415611, 0.07504262075279698, -0.010202744360977897, -0.13309423422271555, -0.2024607922543179, 0.4612416579867854, -0.025354015418667008, 0.26391918279202375, 0.06179026440914833, 0.17346562431052778, 0.11084158306899057, -0.08992486231198366, 0.0466083837955287, -0.21711585751142015, 0.16743126754282098, 0.291548377693151, 0.1847994967829436, 0.2655857993346272, -0.43116928907957947, -0.18586544921113687, 0.1555051619299885, 0.10219620247230385, 0.05572342807709268, 0.003871911790955699, -0.26454889819477545, 0.0981948600912636, -0.21102064215775693, -0.1767961076658332, -0.19272325131477733, 0.030812178681971447, 0.08271649016321382, -0.2868529418201158, 0.019116000695662064, 0.07389862462878227, 0.18117461836134846, -0.13335003811075832, -0.11172944099190786, -0.03891748720497796, 0.01673747349361127, -0.0595927657841733, -0.03307677813184758, 0.13749283346149957, -0.07021656632423401, -0.18564243947691988, 0.28987019901361427, 0.006783212224642436, -0.28792530727205856, 0.14253984563842867, -0.1698165776800703, -0.21666418907768797, -0.0437118908333959, 0.15199793948594367, 0.09582901774256518, -0.1254067293114283, 0.18093237822176889, -0.06414126590684507, 0.04797009389960405, 0.13595372119523358, 0.09617188513617624, 0.14037559328205657, 0.1010046164984956, 0.05163254842839458, 0.208717089597926, 0.11116230699487707, -0.06285892353590691, -0.3800814397858851, -0.14790959533473308, -0.039311577918741736, 0.10139000647574324, -0.09559779272592894, -0.19361502315961954, 0.3705940833597472, 0.09277686567017526, 0.1359579742914348, 0.09713987537631483, 0.16967920769203568, 0.12623087963032903, 0.09323620145688906, 0.04704093473088561, 0.1301388451970662, 0.28273132545732416, 0.06005461485774228, -0.11272491751746698, -0.02371274671432647, 0.1803515643502275] |
707.0995 | An XMM-Newton observation of the neutron star X-ray transient 2S
1803-245 in quiescence | We observed the neutron star X-ray transient 2S 1803-245 in quiescence with
the X-ray satellite XMM-Newton, but did not detect it. An analysis of the X-ray
bursts observed during the 1998 outburst of 2S 1803-245 gives an upper-limit to
the distance of <7.3 kpc, leading to an upper-limit on the quiescent 0.5-10 keV
X-ray luminosity of <2.8x10^32 erg/s (3sigma). Since the expected orbital
period of 2S 1803-245 is several hrs, this limit is not much higher than those
observed for the quiescent black hole transients with similar orbital periods.
| astro-ph | we observed the neutron star xray transient 2s 1803245 in quiescence with the xray satellite xmmnewton but did not detect it an analysis of the xray bursts observed during the 1998 outburst of 2s 1803245 gives an upperlimit to the distance of 73 kpc leading to an upperlimit on the quiescent 0510 kev xray luminosity of 28x1032 ergs 3sigma since the expected orbital period of 2s 1803245 is several hrs this limit is not much higher than those observed for the quiescent black hole transients with similar orbital periods | [['we', 'observed', 'the', 'neutron', 'star', 'xray', 'transient', '2s', '1803245', 'in', 'quiescence', 'with', 'the', 'xray', 'satellite', 'xmmnewton', 'but', 'did', 'not', 'detect', 'it', 'an', 'analysis', 'of', 'the', 'xray', 'bursts', 'observed', 'during', 'the', '1998', 'outburst', 'of', '2s', '1803245', 'gives', 'an', 'upperlimit', 'to', 'the', 'distance', 'of', '73', 'kpc', 'leading', 'to', 'an', 'upperlimit', 'on', 'the', 'quiescent', '0510', 'kev', 'xray', 'luminosity', 'of', '28x1032', 'ergs', '3sigma', 'since', 'the', 'expected', 'orbital', 'period', 'of', '2s', '1803245', 'is', 'several', 'hrs', 'this', 'limit', 'is', 'not', 'much', 'higher', 'than', 'those', 'observed', 'for', 'the', 'quiescent', 'black', 'hole', 'transients', 'with', 'similar', 'orbital', 'periods']] | [-0.06026546365551026, 0.13961239770734127, -0.05886453979606317, 0.18381679841894022, -0.10989675843368539, -0.06486712347462097, 0.10614890352272513, 0.44971891391006386, -0.09502227718257927, -0.37775630336942745, 0.08231929975789337, -0.3712228289610225, 0.04446388096601533, 0.24945799969348378, -0.04460762471849607, -0.015650246525266, 0.06313411653338169, -0.0273360760289837, -0.11185415635224093, -0.2914605520848206, 0.17696723887770946, 0.09864373035220937, 0.12804313127840447, -0.0684784587462094, 0.04293517076241022, -0.042038103012600914, -0.016527363063770197, -0.12204781393070747, -0.13783009232826193, 0.022291614081371914, 0.24691951646871696, 0.1034789327022736, 0.18793951865518466, -0.36463921680115163, -0.17878182897270148, 0.06570527665065708, 0.17708002306012946, -0.051220999300395226, 0.0710974279089979, -0.24754360437774184, 0.04561847222397442, -0.270566581801342, -0.1721257179742679, 0.11134496506367048, 0.1504703070439229, -0.020348639343865216, -0.12404733008324084, 0.17450867890147492, 0.048675830602984534, 0.030651762028521098, -0.2530913090582048, -0.033223280386829916, -0.04894996427889386, -0.008518922327890654, 0.09572192063867326, 0.14044196682781065, 0.12759518936085937, -0.05649752092325467, -0.1088000122373077, 0.3284578867129643, -0.016780081869993326, 0.15042402906428007, 0.19366675887828355, -0.2800765718460422, -0.195419394178316, 0.256853007753803, 0.07452232650459999, 0.10679660514671757, -0.13370225146751513, -0.06542391896734691, -0.012642139433988963, 0.3623703582296995, 0.06781474486607211, 0.1263934072022411, 0.31363432634812355, 0.10031646487451243, 0.020637472078140654, 0.11580637251873585, -0.303637781400043, 0.04880130822394593, -0.18791398949476637, -0.018047524364770983, -0.12245047858133065, 0.19098777111933238, -0.10206545469753275, -0.13151358438401736, 0.34011541797504335, 0.025748032081702895, 0.21183528611436486, 0.030694212100405075, 0.2609267532931302, 0.1896095210686326, 0.03096225985212765, 0.13382526450070806, 0.40010814982551063, 0.15211530050940134, 0.1598377168464305, -0.262874009929047, 0.09397271269699559, 0.0036234996567310936] |
707.0996 | Non-classical effects in wave packet dynamics | Treating the ideal coherent state as a reference state, the effects due to
departure from coherence of an initial wave packet propagating through a
nonlinear medium, were examined, specifically in the context of non-classical
effects such as revivals, fractional revivals, squeezing and higher-order
squeezing during its temporal evolution. Further, these studies were extended
to examine the role of quantum entanglement in bipartite systems. The dynamics
of quantum expectation values were tracked carefully in various cases and the
conditions under which a wave packet spreads chaotically, were investigated.
| quant-ph | treating the ideal coherent state as a reference state the effects due to departure from coherence of an initial wave packet propagating through a nonlinear medium were examined specifically in the context of nonclassical effects such as revivals fractional revivals squeezing and higherorder squeezing during its temporal evolution further these studies were extended to examine the role of quantum entanglement in bipartite systems the dynamics of quantum expectation values were tracked carefully in various cases and the conditions under which a wave packet spreads chaotically were investigated | [['treating', 'the', 'ideal', 'coherent', 'state', 'as', 'a', 'reference', 'state', 'the', 'effects', 'due', 'to', 'departure', 'from', 'coherence', 'of', 'an', 'initial', 'wave', 'packet', 'propagating', 'through', 'a', 'nonlinear', 'medium', 'were', 'examined', 'specifically', 'in', 'the', 'context', 'of', 'nonclassical', 'effects', 'such', 'as', 'revivals', 'fractional', 'revivals', 'squeezing', 'and', 'higherorder', 'squeezing', 'during', 'its', 'temporal', 'evolution', 'further', 'these', 'studies', 'were', 'extended', 'to', 'examine', 'the', 'role', 'of', 'quantum', 'entanglement', 'in', 'bipartite', 'systems', 'the', 'dynamics', 'of', 'quantum', 'expectation', 'values', 'were', 'tracked', 'carefully', 'in', 'various', 'cases', 'and', 'the', 'conditions', 'under', 'which', 'a', 'wave', 'packet', 'spreads', 'chaotically', 'were', 'investigated']] | [-0.16006974586895828, 0.22454749525878606, -0.0894279588233337, 0.1031856111052778, 0.01729618272230286, -0.08634901650506875, 0.002523285079875897, 0.3846150701758505, -0.2725449335004, -0.24596842625124873, 0.11010060074134334, -0.26591239642651604, -0.12891767268743495, 0.1781827968695126, 0.013651501312423712, 0.14963498685175108, 0.06831098214091583, 0.032718011424287985, -0.058208181019616514, -0.2129235994017244, 0.3226858366457424, 0.05763180901285732, 0.28650384367679127, 0.0012392313179463662, 0.09314100592043893, 0.034404280718587255, 0.010469307432529228, 0.014802044598885308, -0.10119114313595767, -0.020158965464403062, 0.21857951569702777, 0.09884905442595482, 0.3094566137069601, -0.48473894643201226, -0.29259408094074535, 0.05437763050284194, 0.11839624934584898, 0.1989478293589541, 0.005154011642624592, -0.3758763312950902, -0.030497123883373434, -0.16725254461340522, -0.14856008089136805, -0.04671666878222049, 0.03447008718490258, 0.03982270992864138, -0.225167456511194, 0.11636969975153005, 0.045468948091027035, 0.050358763360686, -0.03653647336605722, -0.030815120186956448, -0.06471014221803681, 0.13852371849740544, -0.02010745717876259, -0.03462374212565543, 0.1381300576941121, -0.1609787594088107, -0.14660244341003012, 0.38579121857196436, -0.06535542834464503, -0.19489795948517905, 0.12783007173204858, -0.14252481926446672, -0.04158899903393768, 0.11914682341739535, 0.18385275016570912, 0.08021582735852263, -0.13309075124561787, -0.018807301127844244, 0.0023869675555368134, 0.15796497470335286, 0.14257436540063428, 0.1872340591046317, 0.19897743323737563, 0.08970547936342914, -0.0035157024809534007, 0.21964714217973852, -0.10223883078380049, -0.18558723068442837, -0.2892233082575017, -0.13532642910470075, -0.1606070966213599, 0.0791278064699881, -0.054235390491513324, -0.11943808595660603, 0.428890406914141, 0.1479684169532667, 0.13551251532445693, -0.03941837248751016, 0.24459050767573304, 0.14562645310204175, 0.0034574262653818705, 0.02462496905020256, 0.2571989460527126, 0.15991177630407372, 0.13134592336377707, -0.2883077220878853, 0.1008031008572414, -0.024897493111590546] |
707.0997 | On Connected Diagrams and Cumulants of Erdos-Renyi Matrix Models | Regarding the adjacency matrices of n-vertex graphs and related graph
Laplacian, we introduce two families of discrete matrix models constructed both
with the help of the Erdos-Renyi ensemble of random graphs. Corresponding
matrix sums represent the characteristic functions of the average number of
walks and closed walks over the random graph. These sums can be considered as
discrete analogs of the matrix integrals of random matrix theory.
We study the diagram structure of the cumulant expansions of logarithms of
these matrix sums and analyze the limiting expressions in the cases of constant
and vanishing edge probabilities as n tends to infinity.
| math-ph math.MP math.PR | regarding the adjacency matrices of nvertex graphs and related graph laplacian we introduce two families of discrete matrix models constructed both with the help of the erdosrenyi ensemble of random graphs corresponding matrix sums represent the characteristic functions of the average number of walks and closed walks over the random graph these sums can be considered as discrete analogs of the matrix integrals of random matrix theory we study the diagram structure of the cumulant expansions of logarithms of these matrix sums and analyze the limiting expressions in the cases of constant and vanishing edge probabilities as n tends to infinity | [['regarding', 'the', 'adjacency', 'matrices', 'of', 'nvertex', 'graphs', 'and', 'related', 'graph', 'laplacian', 'we', 'introduce', 'two', 'families', 'of', 'discrete', 'matrix', 'models', 'constructed', 'both', 'with', 'the', 'help', 'of', 'the', 'erdosrenyi', 'ensemble', 'of', 'random', 'graphs', 'corresponding', 'matrix', 'sums', 'represent', 'the', 'characteristic', 'functions', 'of', 'the', 'average', 'number', 'of', 'walks', 'and', 'closed', 'walks', 'over', 'the', 'random', 'graph', 'these', 'sums', 'can', 'be', 'considered', 'as', 'discrete', 'analogs', 'of', 'the', 'matrix', 'integrals', 'of', 'random', 'matrix', 'theory', 'we', 'study', 'the', 'diagram', 'structure', 'of', 'the', 'cumulant', 'expansions', 'of', 'logarithms', 'of', 'these', 'matrix', 'sums', 'and', 'analyze', 'the', 'limiting', 'expressions', 'in', 'the', 'cases', 'of', 'constant', 'and', 'vanishing', 'edge', 'probabilities', 'as', 'n', 'tends', 'to', 'infinity']] | [-0.15791400840579725, 0.1440492928947903, -0.053999902413106794, 0.07620370592045976, -0.020521441248642042, -0.08986171811708424, 0.050001270002869906, 0.3574861363683007, -0.28403037227229166, -0.25718039918303637, 0.12213137226368273, -0.3215553668133988, -0.208126824522059, 0.09409194489443067, -0.017644621609332094, 0.11569018639845423, 0.05933523469945729, 0.09381851418829053, -0.08194518704509067, -0.2574720835148375, 0.32544892646907136, -0.013988194350927774, 0.21708358866669755, 0.030698005829264623, 0.07066461791360455, 0.052561733359932014, -0.06923464304850538, 0.012751717346449962, -0.11001302547162713, 0.11525334840373017, 0.24768857375908404, 0.09795160473112276, 0.21075154616183941, -0.43437510663597373, -0.1580206097500159, 0.2250608767585663, 0.1675412973093957, 0.0476187146568468, 0.07762989986429711, -0.2608279858042698, 0.07782121919243053, -0.1674152082662181, -0.14084353890168563, -0.05178186838920828, -0.003886151926287699, 0.10701935450859958, -0.28780716397433015, 0.049551539270594566, 0.0738865276890816, 0.025624438481737333, 0.029473924036552704, -0.22361596383265045, 0.036375731020004, 0.15579665846440313, 0.007783823946576178, -0.07744855765428504, 0.07927725608875551, -0.09545414551797479, -0.1687219835319879, 0.353750822152758, -0.05893093680889152, -0.22094947139797086, 0.07873458811312471, -0.18568388260163293, -0.1427269896520025, 0.09486141252230004, 0.194380802710974, 0.13832622646621548, -0.0832740355814383, 0.1369058396275349, -0.08382205790517354, 0.046729785187335886, 0.1033776808935817, 0.039323828800922576, 0.12876405854626458, 0.02189300706296569, 0.07487139799562974, 0.1996773641526533, 0.003835104924562101, -0.13209208835027006, -0.303316237990477, -0.13092066869508512, -0.2667571580922692, 0.10755194241808046, -0.30034721915156, -0.297969741009102, 0.4415998288642357, 0.09816587097149822, 0.23518939594747407, 0.16091664002673461, 0.17196398562092408, 0.154059841498124, 0.01483696549992529, 0.07318849431000429, 0.04878836914915407, 0.29937004617018864, 0.01382615905379563, -0.15976294912547703, 0.06324264941227595, 0.18825977298864485] |
707.0998 | Eigenvalue Bounds for Perturbations of Schrodinger Operators and Jacobi
Matrices With Regular Ground States | We prove general comparison theorems for eigenvalues of perturbed Schrodinger
operators that allow proof of Lieb--Thirring bounds for suitable non-free
Schrodinger operators and Jacobi matrices.
| math.SP math-ph math.MP | we prove general comparison theorems for eigenvalues of perturbed schrodinger operators that allow proof of liebthirring bounds for suitable nonfree schrodinger operators and jacobi matrices | [['we', 'prove', 'general', 'comparison', 'theorems', 'for', 'eigenvalues', 'of', 'perturbed', 'schrodinger', 'operators', 'that', 'allow', 'proof', 'of', 'liebthirring', 'bounds', 'for', 'suitable', 'nonfree', 'schrodinger', 'operators', 'and', 'jacobi', 'matrices']] | [-0.13457877989858388, 0.0706133532896638, -0.05279977550730109, 0.18242151513695717, -0.10901406155899167, -0.265643355846405, -0.04004551513120532, 0.282132114470005, -0.19923759020864965, -0.1410370700992644, 0.13441223664209245, -0.35793339237570765, -0.153546879068017, 0.25756369695067405, -0.06493200749158859, 0.18466719411313534, 0.19453194085508585, 0.030515122367069124, -0.1927819184307009, -0.19322798326611518, 0.4860497581958771, -0.06900935620069504, 0.13242245367728173, 0.12098325729370117, 0.05957179620862007, 0.04397836582036689, -0.0547360837738961, -0.1539349415898323, -0.14721739323023939, 0.17774019971489907, 0.285979071110487, 0.046302672205492855, 0.23565607991069557, -0.4780624878406525, -0.12044863555580378, 0.25137152321636674, 0.178126759827137, 0.0643141969293356, -0.06243831858970225, -0.3946969486027956, 0.0340904723899439, -0.0820841509103775, -0.31251490499824286, -0.18538802437484264, 0.03852945521473885, 0.09283342972397804, -0.41463044837117197, 0.17420957959489897, 0.17976682893931867, 0.03611216302961111, -0.1761529713869095, -0.14704920455347747, 0.05101651294156909, 0.021264807917177678, -0.054988531693816185, -0.195230088243261, 0.05416942270472646, 0.056787235774099824, -0.14268716886639596, 0.2721289993822575, -0.08147780449129641, -0.30700124621391295, 0.027062615156173708, -0.15973459653556346, -0.22049085825681686, -0.05131929107010365, 0.14048016518354417, 0.20792617306113242, -0.14490533839911224, 0.24528687163954602, -0.10004305742681026, 0.0622092317789793, 0.19081339113414286, 0.11298419771017507, -0.023160540983080864, -0.06886684160679579, 0.26375815853476525, 0.08782362341880798, 0.1866599916666746, -0.13108853187412023, -0.35339361906051636, -0.1684287406504154, -0.18757785975933075, 0.15711945980787279, -0.26506507506535854, -0.2333747669821605, 0.42177487842738626, 0.1128153919428587, 0.09212753996253013, 0.20742586139589547, 0.12237845685333014, 0.27745201654732227, 0.0047954385541379456, 0.08823891930282116, 0.13442694768309593, 0.3655895633995533, 0.10527382146567106, -0.0921040754392743, -0.13037712302058935, 0.3285134982317686] |
707.0999 | The census of nuclear activity of late-type galaxies in the Virgo
cluster | The first spectroscopic census of AGNs associated to late-type galaxies in
the Virgo cluster is carried on by observing 213 out of a complete set of 237
galaxies more massive than M_dyn>10^{8.5} solar masses. Among them, 77 are
classified as AGNs (including 21 transition objects, 47 LINERs and 9 Seyferts),
and comprize 32% of the late-type galaxies in Virgo. Due to spectroscopic
incompleteness at most 21 AGNs are missed in the survey, so that the fraction
would increase up to 41%. Using corollary Near-IR observations, that enable us
to estimate galaxies dynamical masses, it is found that AGNs are hosted
exclusively in massive galaxies, i.e. M_dyn\gsim 10^{10} solar masses. Their
frequency increases steeply with the dynamical mass from zero at
M_dyn\approx10^{9.5} solar masses to virtually 1 at M_dyn>10^{11.5} solar
masses. These frequencies are consistent with the ones of low luminosity AGNs
found in the general field by the SDSS. Massive galaxies that harbor AGNs
commonly show conspicuous r-band star-like nuclear enhancements. Conversely
they often, but not necessarily contain massive bulges. Few well known AGNs
(e.g. M61, M100, NGC4535) are found in massive Sc galaxies with little or no
bulge. The AGN fraction seems to be only marginally sensitive to galaxy
environment. We infer the black hole masses using the known scaling relations
of quiescent black holes. No black holes lighter than $\sim 10^6$ \msol are
found active in our sample.
| astro-ph | the first spectroscopic census of agns associated to latetype galaxies in the virgo cluster is carried on by observing 213 out of a complete set of 237 galaxies more massive than m_dyn1085 solar masses among them 77 are classified as agns including 21 transition objects 47 liners and 9 seyferts and comprize 32 of the latetype galaxies in virgo due to spectroscopic incompleteness at most 21 agns are missed in the survey so that the fraction would increase up to 41 using corollary nearir observations that enable us to estimate galaxies dynamical masses it is found that agns are hosted exclusively in massive galaxies ie m_dyngsim 1010 solar masses their frequency increases steeply with the dynamical mass from zero at m_dynapprox1095 solar masses to virtually 1 at m_dyn10115 solar masses these frequencies are consistent with the ones of low luminosity agns found in the general field by the sdss massive galaxies that harbor agns commonly show conspicuous rband starlike nuclear enhancements conversely they often but not necessarily contain massive bulges few well known agns eg m61 m100 ngc4535 are found in massive sc galaxies with little or no bulge the agn fraction seems to be only marginally sensitive to galaxy environment we infer the black hole masses using the known scaling relations of quiescent black holes no black holes lighter than sim 106 msol are found active in our sample | [['the', 'first', 'spectroscopic', 'census', 'of', 'agns', 'associated', 'to', 'latetype', 'galaxies', 'in', 'the', 'virgo', 'cluster', 'is', 'carried', 'on', 'by', 'observing', '213', 'out', 'of', 'a', 'complete', 'set', 'of', '237', 'galaxies', 'more', 'massive', 'than', 'm_dyn1085', 'solar', 'masses', 'among', 'them', '77', 'are', 'classified', 'as', 'agns', 'including', '21', 'transition', 'objects', '47', 'liners', 'and', '9', 'seyferts', 'and', 'comprize', '32', 'of', 'the', 'latetype', 'galaxies', 'in', 'virgo', 'due', 'to', 'spectroscopic', 'incompleteness', 'at', 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707.1 | A vanishing theorem for a class of logarithmic D-modules | Let $O_X$ (resp. $D_X$) be the sheaf of holomorphic functions (resp. the
sheaf of linear differential operators with holomorphic coefficients) on $X$
(=the complex affine n-space). Let $Y$ be a locally weakly quasi-homogeneous
free divisor defined by a polynomial $f$. In this paper we prove that, locally,
the annihilating ideal of $1/f^k$ over $D_X$ is generated by linear
differential operators of order 1 (for $k$ big enough). For this purpose we
prove a vanishing theorem for the extension groups of a certain logarithmic
$D_X$--module with $O_X$. The logarithmic $D_X$--module is naturally associated
with $Y$. This result is related to the so called Logarithmic Comparison
Theorem.
| math.AG | let o_x resp d_x be the sheaf of holomorphic functions resp the sheaf of linear differential operators with holomorphic coefficients on x the complex affine nspace let y be a locally weakly quasihomogeneous free divisor defined by a polynomial f in this paper we prove that locally the annihilating ideal of 1fk over d_x is generated by linear differential operators of order 1 for k big enough for this purpose we prove a vanishing theorem for the extension groups of a certain logarithmic d_xmodule with o_x the logarithmic d_xmodule is naturally associated with y this result is related to the so called logarithmic comparison theorem | [['let', 'o_x', 'resp', 'd_x', 'be', 'the', 'sheaf', 'of', 'holomorphic', 'functions', 'resp', 'the', 'sheaf', 'of', 'linear', 'differential', 'operators', 'with', 'holomorphic', 'coefficients', 'on', 'x', 'the', 'complex', 'affine', 'nspace', 'let', 'y', 'be', 'a', 'locally', 'weakly', 'quasihomogeneous', 'free', 'divisor', 'defined', 'by', 'a', 'polynomial', 'f', 'in', 'this', 'paper', 'we', 'prove', 'that', 'locally', 'the', 'annihilating', 'ideal', 'of', '1fk', 'over', 'd_x', 'is', 'generated', 'by', 'linear', 'differential', 'operators', 'of', 'order', '1', 'for', 'k', 'big', 'enough', 'for', 'this', 'purpose', 'we', 'prove', 'a', 'vanishing', 'theorem', 'for', 'the', 'extension', 'groups', 'of', 'a', 'certain', 'logarithmic', 'd_xmodule', 'with', 'o_x', 'the', 'logarithmic', 'd_xmodule', 'is', 'naturally', 'associated', 'with', 'y', 'this', 'result', 'is', 'related', 'to', 'the', 'so', 'called', 'logarithmic', 'comparison', 'theorem']] | [-0.21372020175196946, 0.0757757570558729, -0.08095788185556348, 0.0380928019204965, -0.08423326519550756, -0.1674081623339309, -0.052010475213767046, 0.2982810964257134, -0.3997274131442492, -0.1293704806638953, 0.06684167921216264, -0.2769406979115537, -0.12663573427842215, 0.1909702609723004, -0.13649966993790047, 0.012351376962704727, 0.010264710173942149, 0.11851314215276104, -0.09403103375314878, -0.2972849414218217, 0.4408327857952547, -0.05948973707675647, 0.15146949792352432, 0.04951133988260363, 0.155902176473039, 0.016654026043677453, -0.025986548222135752, -0.011569008280415662, -0.17204177340017152, 0.15634360901402453, 0.34396226612779385, 0.03235553999323971, 0.2513269829259326, -0.33503679200433767, -0.10878288184400074, 0.27957999280456886, 0.1156432241684972, -0.08747334248619154, 0.016986027787564896, -0.24932443542638794, 0.17522779099817853, -0.15604970991038358, -0.19234689708817035, -0.08792419419534361, 0.05959757525348463, 0.03504017607058184, -0.3207537639133919, 0.010174506781018304, 0.13638617825479463, 0.10562913196806151, -0.011846220246157967, -0.06558429572928268, -0.094037681849351, -0.03132295968512503, -0.05838142623542808, 0.14728398200643894, 0.08704531651276809, -0.054536909194072135, -0.09724531079140994, 0.3296630610980523, -0.1536176747949167, -0.27102291224022895, 0.050649740462316774, -0.2164143034180877, -0.12538652564846695, 0.10934099349049994, 0.08872804135115495, 0.19940546994509462, -0.041677678971049875, 0.2730777110197008, -0.11988199897146282, 0.08866871395506538, 0.08529486374642986, 0.003469991685750966, 0.08418827380452197, 0.04829429814932295, 0.14385955542540893, 0.11152984196758972, 0.03795629409488846, -0.020975253289529625, -0.40075564506248784, -0.20653485567667162, -0.09580038587312, 0.20805252263716495, -0.11389867662532757, -0.17887976225868513, 0.347932958509773, 0.011221941721697267, 0.2524832015445169, 0.1598630052646443, 0.2060063925835913, 0.13318597849530095, 0.046626642149371594, 0.0618509477801406, 0.06773659250645253, 0.23320317947162458, -0.014507535989441048, -0.128881336928596, 0.03332820417843042, 0.21158593958422828] |
707.1001 | Full dimensional (15D) quantum-dynamical simulation of the protonated
water-dimer I: Hamiltonian setup and analysis of the ground vibrational state | Quantum-dynamical full-dimensional (15D) calculations are reported for the
protonated water dimer (H5O2+) using the multiconfiguration time-dependent
Hartree (MCTDH) method. The dynamics is described by curvilinear coordinates.
The expression of the kinetic energy operator in this set of coordinates is
given and its derivation, following the polyspherical method, is discussed. The
PES employed is that of Huang et al. [JCP, 122, 044308, (2005)]. A scheme for
the representation of the potential energy surface (PES) is discussed which is
based on a high dimensional model representation scheme (cut-HDMR), but
modified to take advantage of the mode-combination representation of the
vibrational wavefunction used in MCTDH. The convergence of the PES expansion
used is quantified and evidence is provided that it correctly reproduces the
reference PES at least for the range of energies of interest. The reported zero
point energy of the system is converged with respect to the MCTDH expansion and
in excellent agreement (16.7 cm-1 below) with the diffusion Monte Carlo result
on the PES of Huang et al. The highly fluxional nature of the cation is
accounted for through use of curvilinear coordinates. The system is found to
interconvert between equivalent minima through wagging and internal rotation
motions already when in the ground vibrational-state, i.e., T=0. It is shown
that a converged quantum-dynamical description of such a flexible, multi-minima
system is possible.
| physics.chem-ph | quantumdynamical fulldimensional 15d calculations are reported for the protonated water dimer h5o2 using the multiconfiguration timedependent hartree mctdh method the dynamics is described by curvilinear coordinates the expression of the kinetic energy operator in this set of coordinates is given and its derivation following the polyspherical method is discussed the pes employed is that of huang et al jcp 122 044308 2005 a scheme for the representation of the potential energy surface pes is discussed which is based on a high dimensional model representation scheme cuthdmr but modified to take advantage of the modecombination representation of the vibrational wavefunction used in mctdh the convergence of the pes expansion used is quantified and evidence is provided that it correctly reproduces the reference pes at least for the range of energies of interest the reported zero point energy of the system is converged with respect to the mctdh expansion and in excellent agreement 167 cm1 below with the diffusion monte carlo result on the pes of huang et al the highly fluxional nature of the cation is accounted for through use of curvilinear coordinates the system is found to interconvert between equivalent minima through wagging and internal rotation motions already when in the ground vibrationalstate ie t0 it is shown that a converged quantumdynamical description of such a flexible multiminima system is possible | [['quantumdynamical', 'fulldimensional', '15d', 'calculations', 'are', 'reported', 'for', 'the', 'protonated', 'water', 'dimer', 'h5o2', 'using', 'the', 'multiconfiguration', 'timedependent', 'hartree', 'mctdh', 'method', 'the', 'dynamics', 'is', 'described', 'by', 'curvilinear', 'coordinates', 'the', 'expression', 'of', 'the', 'kinetic', 'energy', 'operator', 'in', 'this', 'set', 'of', 'coordinates', 'is', 'given', 'and', 'its', 'derivation', 'following', 'the', 'polyspherical', 'method', 'is', 'discussed', 'the', 'pes', 'employed', 'is', 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707.1002 | Parallel, Series, and Intermediate Interconnections of Optical
Nanocircuit Elements Part 1: Analytical Solution | Following our recent development of the paradigm for extending the classic
concepts of circuit elements to the infrared and optical frequencies [N.
Engheta, A. Salandrino, A. Alu, Phys. Rev. Lett. 95, 095504 (2005)], in this
paper we investigate the possibility of connecting nanoparticles in series and
in parallel configurations, acting as nanocircuit elements, In particular, we
analyze a pair of conjoined half-cylinders, whose relatively simple geometry
may be studied and analyzed analytically. In this first part of the work, we
derive a closed-form quasi-static analytical solution of the boundary-value
problem associated with this geometry, which will be applied in Part II for a
nanocircuit and physical interpretation of these results.
| cond-mat.mtrl-sci | following our recent development of the paradigm for extending the classic concepts of circuit elements to the infrared and optical frequencies n engheta a salandrino a alu phys rev lett 95 095504 2005 in this paper we investigate the possibility of connecting nanoparticles in series and in parallel configurations acting as nanocircuit elements in particular we analyze a pair of conjoined halfcylinders whose relatively simple geometry may be studied and analyzed analytically in this first part of the work we derive a closedform quasistatic analytical solution of the boundaryvalue problem associated with this geometry which will be applied in part ii for a nanocircuit and physical interpretation of these results | [['following', 'our', 'recent', 'development', 'of', 'the', 'paradigm', 'for', 'extending', 'the', 'classic', 'concepts', 'of', 'circuit', 'elements', 'to', 'the', 'infrared', 'and', 'optical', 'frequencies', 'n', 'engheta', 'a', 'salandrino', 'a', 'alu', 'phys', 'rev', 'lett', '95', '095504', '2005', 'in', 'this', 'paper', 'we', 'investigate', 'the', 'possibility', 'of', 'connecting', 'nanoparticles', 'in', 'series', 'and', 'in', 'parallel', 'configurations', 'acting', 'as', 'nanocircuit', 'elements', 'in', 'particular', 'we', 'analyze', 'a', 'pair', 'of', 'conjoined', 'halfcylinders', 'whose', 'relatively', 'simple', 'geometry', 'may', 'be', 'studied', 'and', 'analyzed', 'analytically', 'in', 'this', 'first', 'part', 'of', 'the', 'work', 'we', 'derive', 'a', 'closedform', 'quasistatic', 'analytical', 'solution', 'of', 'the', 'boundaryvalue', 'problem', 'associated', 'with', 'this', 'geometry', 'which', 'will', 'be', 'applied', 'in', 'part', 'ii', 'for', 'a', 'nanocircuit', 'and', 'physical', 'interpretation', 'of', 'these', 'results']] | [-0.1259790048722855, 0.0712873847604814, -0.04234422520861368, -0.04368936663006686, -0.054318646352145485, -0.0835733961017633, 0.07445792137348856, 0.3510461111214351, -0.20394162682350725, -0.27723839694464747, 0.06334168165287173, -0.21942327701888809, -0.21870602750515736, 0.1999716902405701, -0.08965090841732241, 0.01898443490182134, 0.017402583521536806, -0.02129273157228123, -0.044812182464044205, -0.19578143481842497, 0.2423122549090873, 0.05442190218547528, 0.2592197704044255, 0.04683660593899813, 0.05526323333932934, 0.017492992388592525, -0.032213425809856165, 0.0349952841092917, -0.1678345106774941, 0.1458339069874703, 0.2541487628594041, 0.08261230990967967, 0.24050347857410087, -0.4543076043101874, -0.18952294107187878, 0.0723465707809241, 0.12126501960341227, 0.11207730688091198, -0.04582285116511312, -0.26439818170937623, 0.059407419078475375, -0.1922644508028911, -0.15824005585587161, -0.03578242280266502, 0.08634667833843691, 0.023698047597215256, -0.2750010197728195, 0.048115691508759155, 0.07177506380883808, 0.05081647020256655, -0.0547904846734706, -0.0840061829044399, 0.06032027522398328, 0.053733669428832155, -0.031962866782619545, -0.0019016002135520632, 0.07095493684438142, -0.0658605750925331, -0.1299684031527828, 0.34466317761689425, -0.05532475276003507, -0.1680766917680475, 0.18969013307412916, -0.11798194504173642, -0.14636896662837404, 0.0728305422573943, 0.20152876472566278, 0.15401357202314434, -0.19674539550800216, 0.11894093234811655, -0.05166463498872789, 0.11929483921267092, 0.11442202743650838, 0.026365581091324038, 0.1826761588581245, 0.14013635174752298, -0.03393310799940743, 0.17707633669488132, -0.056755881354911254, -0.09304205387492072, -0.3201846132139591, -0.19630675764585084, -0.1668667054989121, 0.06913659964603457, -0.01341840978235599, -0.15437680034982887, 0.40828737291422756, 0.13421362196624448, 0.21374500635588034, 0.01540168380174278, 0.25223596914756025, 0.10989389244297688, 0.003591949801722711, 0.08778062590228564, 0.2583350906571881, 0.16338581667832014, 0.11846226449124515, -0.21233063528144902, -0.015820228662976825, 0.07255651630799878] |
707.1003 | Parallel, Series, and Intermediate Interconnections of Optical
Nanocircuit Elements Part 2: Nanocircuit and Physical Interpretation | Applying the analytical closed-form solutions of the 'quasi-static' potential
distribution around two conjoined resonant half-cylinders with different
permittivities, reported in the first part of our manuscript, here we interpret
these results in terms of our nanocircuit paradigm applicable to nanoparticles
at infrared and optical frequencies [N. Engheta, A. Salandrino, A. Alu, Phys.
Rev. Lett. 95, 095504 (2005)]. We investigate the possibility of connecting in
series and parallel configurations plasmonic and/or dielectric nanoparticles
acting as nanocircuit elements, with a goal for the design of a more complex
nanocircuit circuit system with the desired response. The present analysis
fully validates the heuristic predictions regarding the parallel and series
combination of a pair of nanocircuit elements. Moreover, the geometries under
analysis present interesting peculiar features in their wave interaction, such
as the intermediate stage between the parallel and series configurations, which
may be of interest for certain applications. In particular, the resonant
nanocircuit configuration analyzed here may dramatically change, in a
continuous way, its effective total impedance by simply rotating its
orientation with respect to the polarization of the impressed optical electric
field, providing a novel optical nanodevice that may alter its function by
rotation with respect to the impressed optical local field.
| cond-mat.mtrl-sci | applying the analytical closedform solutions of the quasistatic potential distribution around two conjoined resonant halfcylinders with different permittivities reported in the first part of our manuscript here we interpret these results in terms of our nanocircuit paradigm applicable to nanoparticles at infrared and optical frequencies n engheta a salandrino a alu phys rev lett 95 095504 2005 we investigate the possibility of connecting in series and parallel configurations plasmonic andor dielectric nanoparticles acting as nanocircuit elements with a goal for the design of a more complex nanocircuit circuit system with the desired response the present analysis fully validates the heuristic predictions regarding the parallel and series combination of a pair of nanocircuit elements moreover the geometries under analysis present interesting peculiar features in their wave interaction such as the intermediate stage between the parallel and series configurations which may be of interest for certain applications in particular the resonant nanocircuit configuration analyzed here may dramatically change in a continuous way its effective total impedance by simply rotating its orientation with respect to the polarization of the impressed optical electric field providing a novel optical nanodevice that may alter its function by rotation with respect to the impressed optical local field | [['applying', 'the', 'analytical', 'closedform', 'solutions', 'of', 'the', 'quasistatic', 'potential', 'distribution', 'around', 'two', 'conjoined', 'resonant', 'halfcylinders', 'with', 'different', 'permittivities', 'reported', 'in', 'the', 'first', 'part', 'of', 'our', 'manuscript', 'here', 'we', 'interpret', 'these', 'results', 'in', 'terms', 'of', 'our', 'nanocircuit', 'paradigm', 'applicable', 'to', 'nanoparticles', 'at', 'infrared', 'and', 'optical', 'frequencies', 'n', 'engheta', 'a', 'salandrino', 'a', 'alu', 'phys', 'rev', 'lett', '95', '095504', '2005', 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'dramatically', 'change', 'in', 'a', 'continuous', 'way', 'its', 'effective', 'total', 'impedance', 'by', 'simply', 'rotating', 'its', 'orientation', 'with', 'respect', 'to', 'the', 'polarization', 'of', 'the', 'impressed', 'optical', 'electric', 'field', 'providing', 'a', 'novel', 'optical', 'nanodevice', 'that', 'may', 'alter', 'its', 'function', 'by', 'rotation', 'with', 'respect', 'to', 'the', 'impressed', 'optical', 'local', 'field']] | [-0.14815777519455878, 0.10387093835743144, -0.0435832280991599, -0.04871165654505603, -0.06311530768987722, -0.10742677502101287, 0.05983684958773665, 0.40759085418190805, -0.21843598093139008, -0.30518188971385823, 0.031035990797172418, -0.23679126957140398, -0.18478968086536043, 0.20822918670368382, -0.028150846296921373, 0.04335887887427816, 0.0056754202069714665, -0.010603836310328916, -0.04609277193318121, -0.17009594756469595, 0.25584848375525326, 0.052405184457311405, 0.2958850720955525, 0.02322255126753589, 0.06017065873253159, 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707.1004 | Full dimensional (15D) quantum-dynamical simulation of the protonated
water-dimer II: infrared spectrum and vibrational dynamics | The infrared absorption spectrum of the protonated water dimer (H5O2+) is
simulated in full dimensionality (15D) in the spectral range 0-4000 cm-1. The
calculations are performed using the Multiconfiguration Time-Dependent Hartree
(MCTDH) method for propagation of wavepackets. All the fundamentals and several
overtones of the vibrational motion are computed. The spectrum of H5O2+ is
shaped to a large extent by couplings of the proton-transfer motion to large
amplitude fluxional motions of the water molecules, water bending and
water-water stretch motions. These couplings are identified and discussed, and
the corresponding spectral lines assigned. The large couplings featured by
H5O2+ do not hinder, however, to describe the coupled vibrational motion by
well defined simple types of vibration (stretching, bending, etc.) based on
well defined modes of vibration, in terms of which the spectral lines are
assigned. Comparison of our results to recent experiments and calculations on
the system is given. The reported MCTDH IR-spectrum is in very good agreement
to the recently measured spectrum by Hammer et al. [JCP, 122, 244301, (2005)].
| physics.chem-ph | the infrared absorption spectrum of the protonated water dimer h5o2 is simulated in full dimensionality 15d in the spectral range 04000 cm1 the calculations are performed using the multiconfiguration timedependent hartree mctdh method for propagation of wavepackets all the fundamentals and several overtones of the vibrational motion are computed the spectrum of h5o2 is shaped to a large extent by couplings of the protontransfer motion to large amplitude fluxional motions of the water molecules water bending and waterwater stretch motions these couplings are identified and discussed and the corresponding spectral lines assigned the large couplings featured by h5o2 do not hinder however to describe the coupled vibrational motion by well defined simple types of vibration stretching bending etc based on well defined modes of vibration in terms of which the spectral lines are assigned comparison of our results to recent experiments and calculations on the system is given the reported mctdh irspectrum is in very good agreement to the recently measured spectrum by hammer et al jcp 122 244301 2005 | [['the', 'infrared', 'absorption', 'spectrum', 'of', 'the', 'protonated', 'water', 'dimer', 'h5o2', 'is', 'simulated', 'in', 'full', 'dimensionality', '15d', 'in', 'the', 'spectral', 'range', '04000', 'cm1', 'the', 'calculations', 'are', 'performed', 'using', 'the', 'multiconfiguration', 'timedependent', 'hartree', 'mctdh', 'method', 'for', 'propagation', 'of', 'wavepackets', 'all', 'the', 'fundamentals', 'and', 'several', 'overtones', 'of', 'the', 'vibrational', 'motion', 'are', 'computed', 'the', 'spectrum', 'of', 'h5o2', 'is', 'shaped', 'to', 'a', 'large', 'extent', 'by', 'couplings', 'of', 'the', 'protontransfer', 'motion', 'to', 'large', 'amplitude', 'fluxional', 'motions', 'of', 'the', 'water', 'molecules', 'water', 'bending', 'and', 'waterwater', 'stretch', 'motions', 'these', 'couplings', 'are', 'identified', 'and', 'discussed', 'and', 'the', 'corresponding', 'spectral', 'lines', 'assigned', 'the', 'large', 'couplings', 'featured', 'by', 'h5o2', 'do', 'not', 'hinder', 'however', 'to', 'describe', 'the', 'coupled', 'vibrational', 'motion', 'by', 'well', 'defined', 'simple', 'types', 'of', 'vibration', 'stretching', 'bending', 'etc', 'based', 'on', 'well', 'defined', 'modes', 'of', 'vibration', 'in', 'terms', 'of', 'which', 'the', 'spectral', 'lines', 'are', 'assigned', 'comparison', 'of', 'our', 'results', 'to', 'recent', 'experiments', 'and', 'calculations', 'on', 'the', 'system', 'is', 'given', 'the', 'reported', 'mctdh', 'irspectrum', 'is', 'in', 'very', 'good', 'agreement', 'to', 'the', 'recently', 'measured', 'spectrum', 'by', 'hammer', 'et', 'al', 'jcp', '122', '244301', '2005']] | [-0.11003552573247852, 0.1272353580337252, -0.001333931713325981, 0.0077927180420897324, -0.018323098264723836, -0.09186382652790158, 0.014363977567342942, 0.41205093820584926, -0.2111088766933915, -0.3119524193615346, 0.04230373092609162, -0.2754594448990116, -0.09405964955898047, 0.16246951588298456, 0.0017275340718490456, 0.06930222236244621, 0.07611612183136676, -0.047138505505152535, -0.004222968442666673, -0.17297641074139916, 0.22850715528621512, 0.08550754216259825, 0.2717288746414873, 0.0577519454931963, 0.04458180509373813, -0.010037751279668158, -0.04042209088411963, 0.016499081397886403, -0.1503851376097471, 0.12526956016226032, 0.21955185038216055, 0.00686583177794418, 0.18868697549702326, -0.40176138089980906, -0.22307392378971344, 0.012691008384356241, 0.13681452444191286, 0.12904742601798835, 0.027260420742182587, -0.3092672356856083, 0.021766094798305834, -0.12533887928006, -0.13464638688127528, -0.1034595786627315, 0.03261526455718628, 0.075309291433872, -0.2096278141113277, 0.12000517398823042, -0.01766477308994505, 0.08117207887219642, -0.09603168448700966, -0.16448936318284357, -0.08680380999548416, 0.08436981750886419, 0.028185105832394013, -0.0052980447249364356, 0.1457132049668915, -0.08324773607686341, -0.09831785116049122, 0.43999659925877693, -0.10936877083362354, -0.14832279508554203, 0.21636801222227736, -0.12883285315993834, -0.1079965633462869, 0.21981231674752727, 0.10984088700197771, 0.11847042204522176, -0.13896989654526562, 0.045997306610412986, 0.006695477559627174, 0.1665089522630623, 0.10305324420723283, 0.03498587293670099, 0.15969299447226398, 0.11169962796262706, -0.03902498192940197, 0.08666041276409307, -0.1351594849152234, -0.09228799389403392, -0.24512917231099157, -0.09433304261929261, -0.20793089560235845, 0.0014892555537116352, -0.03389869419978806, -0.1585229786759811, 0.4081755772701459, 0.0773400078460708, 0.1930002849883662, -0.00390398769407996, 0.23646909175273365, 0.11863592341556185, 0.06811542909531046, 0.05691864130947764, 0.31912558752775727, 0.1675377941361355, 0.08675954491806266, -0.28082814760796143, 0.007165077104077056, 0.041296668267741934] |
707.1005 | Zero-temperature behavior of the random-anisotropy model in the
strong-anisotropy limit | We consider the random-anisotropy model on the square and on the cubic
lattice in the strong-anisotropy limit. We compute exact ground-state
configurations, and we use them to determine the stiffness exponent at zero
temperature; we find $\theta = -0.275(5)$ and $\theta \approx 0.2$ respectively
in two and three dimensions. These results show that the low-temperature phase
of the model is the same as that of the usual Ising spin-glass model. We also
show that no magnetic order occurs in two dimensions, since the expectation
value of the magnetization is zero and spatial correlation functions decay
exponentially. In three dimensions our data strongly support the absence of
spontaneous magnetization in the infinite-volume limit.
| cond-mat.dis-nn | we consider the randomanisotropy model on the square and on the cubic lattice in the stronganisotropy limit we compute exact groundstate configurations and we use them to determine the stiffness exponent at zero temperature we find theta 02755 and theta approx 02 respectively in two and three dimensions these results show that the lowtemperature phase of the model is the same as that of the usual ising spinglass model we also show that no magnetic order occurs in two dimensions since the expectation value of the magnetization is zero and spatial correlation functions decay exponentially in three dimensions our data strongly support the absence of spontaneous magnetization in the infinitevolume limit | [['we', 'consider', 'the', 'randomanisotropy', 'model', 'on', 'the', 'square', 'and', 'on', 'the', 'cubic', 'lattice', 'in', 'the', 'stronganisotropy', 'limit', 'we', 'compute', 'exact', 'groundstate', 'configurations', 'and', 'we', 'use', 'them', 'to', 'determine', 'the', 'stiffness', 'exponent', 'at', 'zero', 'temperature', 'we', 'find', 'theta', '02755', 'and', 'theta', 'approx', '02', 'respectively', 'in', 'two', 'and', 'three', 'dimensions', 'these', 'results', 'show', 'that', 'the', 'lowtemperature', 'phase', 'of', 'the', 'model', 'is', 'the', 'same', 'as', 'that', 'of', 'the', 'usual', 'ising', 'spinglass', 'model', 'we', 'also', 'show', 'that', 'no', 'magnetic', 'order', 'occurs', 'in', 'two', 'dimensions', 'since', 'the', 'expectation', 'value', 'of', 'the', 'magnetization', 'is', 'zero', 'and', 'spatial', 'correlation', 'functions', 'decay', 'exponentially', 'in', 'three', 'dimensions', 'our', 'data', 'strongly', 'support', 'the', 'absence', 'of', 'spontaneous', 'magnetization', 'in', 'the', 'infinitevolume', 'limit']] | [-0.1456674085591327, 0.18718698984435336, -0.026219566054218872, 0.06512339006135748, 0.009665348183427175, -0.09925330792638389, 0.049747032494368876, 0.3761364600197835, -0.21989299034466966, -0.25079482739621944, 0.10336872813905675, -0.30815983980216766, -0.1369640216273679, 0.14304492689711465, 0.07283909373747355, 0.03291756995286877, -0.028721833203665236, 0.0750092739239335, -0.11740253316873515, -0.2431219843406738, 0.3077237545914779, -0.05075127508025616, 0.30562770100818437, 0.08663427496635863, 0.07815994385905056, -0.002244815035638484, 0.07365194668739357, 0.017157099192792718, -0.1923757109949127, 0.043036202019588514, 0.15045375873080707, -0.004704871368382804, 0.16830861737782304, -0.380067372999408, -0.16967158326879145, 0.11981374521909112, 0.13178548513149674, 0.11053670736199075, 0.02837205644993281, -0.2103264657272534, 0.06767188290938396, -0.1298449451717633, -0.17093662069263785, -0.10565801744603298, -0.013189760443161834, -0.013373350021852689, -0.2888935598714108, 0.1325073792702328, 0.08395857375792481, 0.06656522638249127, -0.0749809049450877, -0.13727941265837712, -0.036697664588097145, 0.09451217026534406, 0.088795694289729, 0.03887162289148281, 0.07600472823886031, -0.14622983016412366, -0.11226156074500812, 0.3335339605046267, -0.07672691295791248, -0.17017812839158894, 0.18219478245485912, -0.22619760634631597, -0.13523209458640353, 0.10216203093825077, 0.11993442025374282, 0.09225092069245874, -0.08269896758720278, 0.1243228580670389, -0.027800072952893308, 0.20153367138383063, 0.0384564631449228, 0.008107481603722343, 0.1770459765441377, 0.11465458877130666, 0.051966452005911955, 0.1841603044695644, -0.13801718846794261, -0.15373048982371323, -0.3022448231889443, -0.1397828216907907, -0.2193693175192245, 0.06509205865758387, -0.16432922742771386, -0.16254910442300818, 0.3868129604242065, 0.20754576990465548, 0.22058680721939625, 0.08049760667437857, 0.2371470229107548, 0.13358373659006742, 0.03718123535879634, 0.07532706700096076, 0.25219011301259425, 0.11140341528437354, 0.09182335284792564, -0.2746078637111085, -0.0077201594005931505, 0.0656668278939006] |
707.1006 | The manifestation of quantum resonances and antiresonances in a finite
temperature dilute atomic gas | We investigate the effect of temperature on resonant and antiresonant
dynamics in a dilute atomic gas kicked periodically by a standing wave laser
field. Our numerical calculations are based on a Monte Carlo method for an
incoherent mixture of non-interacting plane waves, and show that the atomic
dynamics are highly sensitive to the initial momentum width of the gas. We
explain this sensitivity by examining the time evolution of individual atomic
centre of mass momentum eigenstates with varying quasimomentum, and we have
determined analytic expressions for the evolution of the second-order momentum
moment to illustrate the range of behaviours.
| physics.atom-ph nlin.CD | we investigate the effect of temperature on resonant and antiresonant dynamics in a dilute atomic gas kicked periodically by a standing wave laser field our numerical calculations are based on a monte carlo method for an incoherent mixture of noninteracting plane waves and show that the atomic dynamics are highly sensitive to the initial momentum width of the gas we explain this sensitivity by examining the time evolution of individual atomic centre of mass momentum eigenstates with varying quasimomentum and we have determined analytic expressions for the evolution of the secondorder momentum moment to illustrate the range of behaviours | [['we', 'investigate', 'the', 'effect', 'of', 'temperature', 'on', 'resonant', 'and', 'antiresonant', 'dynamics', 'in', 'a', 'dilute', 'atomic', 'gas', 'kicked', 'periodically', 'by', 'a', 'standing', 'wave', 'laser', 'field', 'our', 'numerical', 'calculations', 'are', 'based', 'on', 'a', 'monte', 'carlo', 'method', 'for', 'an', 'incoherent', 'mixture', 'of', 'noninteracting', 'plane', 'waves', 'and', 'show', 'that', 'the', 'atomic', 'dynamics', 'are', 'highly', 'sensitive', 'to', 'the', 'initial', 'momentum', 'width', 'of', 'the', 'gas', 'we', 'explain', 'this', 'sensitivity', 'by', 'examining', 'the', 'time', 'evolution', 'of', 'individual', 'atomic', 'centre', 'of', 'mass', 'momentum', 'eigenstates', 'with', 'varying', 'quasimomentum', 'and', 'we', 'have', 'determined', 'analytic', 'expressions', 'for', 'the', 'evolution', 'of', 'the', 'secondorder', 'momentum', 'moment', 'to', 'illustrate', 'the', 'range', 'of', 'behaviours']] | [-0.15030366179622673, 0.20634953375341902, -0.072792701197393, 0.062062038592006444, 0.004834006342924003, -0.046865335388127906, 0.030402405865401067, 0.40805016416642403, -0.2485993474609021, -0.28682526633157535, 0.031868345150018504, -0.2553386985597135, -0.056084056789375315, 0.20176170545046904, 0.0918243813958734, 0.07096881133908725, 0.04392558487009897, -0.036296223440781386, -0.09378941262827603, -0.16591307597065513, 0.3471767169921988, 0.07989551942569739, 0.2482827077196403, 0.04413827434840678, 0.10705883249010176, 0.03757209393826097, 0.0058849541037672695, -0.016301229944208052, -0.16358870911599205, 0.054570381473185436, 0.17636480799528084, 0.0115187382701822, 0.2336526829890455, -0.4388076823317643, -0.19239886473356324, 0.03329204323917928, 0.16546638937422423, 0.15888267869336736, -0.0778335664783501, -0.2954940837478698, -0.023633822408326045, -0.16022856598437735, -0.20131721833927763, -0.09978739444091163, 0.028052617340687324, 0.10916035706083281, -0.23105320298686774, 0.10734284337141993, 0.010090390843518003, 0.060759856357904166, -0.07144936116299394, -0.06780640722600499, -0.0626758091678523, 0.0512859547284968, 0.020642167642816074, -0.007963473708698094, 0.1845709569517034, -0.10662367924662175, -0.07347167105969003, 0.3697394151769748, -0.10977764532082912, -0.19828124140769082, 0.1849267610108875, -0.21650067678267004, -0.06484842403895325, 0.18243896169117604, 0.17750985453944804, 0.11836379200144849, -0.13548715851467216, 0.05949917483446894, -0.05133546708663808, 0.19041405596083613, 0.07133353132792193, 0.04242057179223106, 0.25489528642760384, 0.17024608659134668, -0.009478942135988612, 0.14218025811656257, -0.12328242796068692, -0.16056167800449814, -0.2363630390509662, -0.12576668216103706, -0.20102512555766022, 0.05105280514493128, -0.05438467104771678, -0.1594698236258042, 0.40752112533370355, 0.16770165716062743, 0.20887649653836934, 0.008472427246019695, 0.30478422456148146, 0.17197546382279447, -0.007657702334902503, 0.037550297081282345, 0.2572990019424734, 0.1716578239904284, 0.07382385618984699, -0.3405576875630879, 0.01902947382474638, 0.03091807227882773] |
707.1007 | Bs Mixing and decays at the Tevatron | This short review reports on recent results from CDF and D0 experiments at
the Tevatron collider on Bs mixing and the lifetimes of Bs and Lambdab.
| hep-ex | this short review reports on recent results from cdf and d0 experiments at the tevatron collider on bs mixing and the lifetimes of bs and lambdab | [['this', 'short', 'review', 'reports', 'on', 'recent', 'results', 'from', 'cdf', 'and', 'd0', 'experiments', 'at', 'the', 'tevatron', 'collider', 'on', 'bs', 'mixing', 'and', 'the', 'lifetimes', 'of', 'bs', 'and', 'lambdab']] | [-0.08474184246733785, 0.17011397240611797, -0.07019510301044928, 0.004052597863707119, -0.05807874810237151, -0.1231611379637168, 0.15845952863590076, 0.30418264844383186, -0.16458600866966522, -0.2612750972979344, 0.024467862999209992, -0.417552032866157, 0.003691384210609473, 0.18574916206013697, 0.07202664698259188, 0.10423408162135345, 0.19981138250575617, -0.036930406967607826, -0.09364367724181367, -0.24837207120771593, 0.22807970313498607, 0.08718421575255118, 0.2899212772026658, 0.1698139107141357, 0.0034663281582582453, -0.0012993011354970245, -0.14700696903925675, -0.08934389470288387, -0.1794861748886223, 0.052684199351530805, 0.22430370654910803, 0.19341654434370306, 0.10171905733071841, -0.4645703174173832, -0.010158803296060516, 0.034694681947047896, 0.08917224654354729, 0.08582403439168747, -0.09088064100629148, -0.39836822349864703, 0.12459649256645487, -0.2328898960079711, 0.0067734446806403305, 0.05537725583865093, 0.05108534122029176, -0.011183070162167916, -0.3454863146807139, 0.06384599265248443, -0.11475497632860564, 0.11970043726838552, 0.03879354263727482, -0.3470032036734315, 0.016054801553344496, -0.043765030263994746, 0.19628655222746041, 0.0374435787805571, 0.12098919965613347, -0.10408492768720652, -0.24474727269262075, 0.2129470405097191, -0.089674373372243, -0.08374334384615605, 0.2870037128360799, -0.30163957880666625, -0.13344863714435354, 0.0789369664584788, 0.33530081102911097, 0.06525520525442866, -0.1512181691180628, 0.14075775386523814, -0.058785672299563885, 0.14263587208608022, 0.07733276442517169, 0.11322329042909238, 0.1772113496151108, 0.2727429105971868, 0.017296813177661255, -0.06555035806153543, -0.11568173456292313, -0.04714272694232372, -0.46727589503503764, -0.03724852506107149, -0.1619647444727329, 0.039157735327115424, 0.08005520413224496, 0.07344092511070463, 0.4097767360508442, 0.09406966529786587, 0.32556801618864906, 0.09514727214208016, 0.3372636945345081, 0.031464354385836765, 0.01725046342135801, 0.05158480331290495, 0.2931646695617998, 0.1516980090035269, 0.2712312556373385, -0.3184720007254957, 0.07454435898510453, -0.0088475551456213] |
707.1008 | On Cognitive Interference Networks | We study the high-power asymptotic behavior of the sum-rate capacity of
multi-user interference networks with an equal number of transmitters and
receivers. We assume that each transmitter is cognizant of the message it
wishes to convey to its corresponding receiver and also of the messages that a
subset of the other transmitters wish to send. The receivers are assumed not to
be able to cooperate in any way so that they must base their decision on the
signal they receive only. We focus on the network's pre-log, which is defined
as the limiting ratio of the sum-rate capacity to half the logarithm of the
transmitted power. We present both upper and lower bounds on the network's
pre-log. The lower bounds are based on a linear partial-cancellation scheme
which entails linearly transforming Gaussian codebooks so as to eliminate the
interference in a subset of the receivers. Inter alias, the bounds give a
complete characterization of the networks and side-information settings that
result in a full pre-log, i.e., in a pre-log that is equal to the number of
transmitters (and receivers) as well as a complete characterization of networks
whose pre-log is equal to the full pre-log minus one. They also fully
characterize networks where the full pre-log can only be achieved if each
transmitter knows the messages of all users, i.e., when the side-information is
"full".
| cs.IT math.IT | we study the highpower asymptotic behavior of the sumrate capacity of multiuser interference networks with an equal number of transmitters and receivers we assume that each transmitter is cognizant of the message it wishes to convey to its corresponding receiver and also of the messages that a subset of the other transmitters wish to send the receivers are assumed not to be able to cooperate in any way so that they must base their decision on the signal they receive only we focus on the networks prelog which is defined as the limiting ratio of the sumrate capacity to half the logarithm of the transmitted power we present both upper and lower bounds on the networks prelog the lower bounds are based on a linear partialcancellation scheme which entails linearly transforming gaussian codebooks so as to eliminate the interference in a subset of the receivers inter alias the bounds give a complete characterization of the networks and sideinformation settings that result in a full prelog ie in a prelog that is equal to the number of transmitters and receivers as well as a complete characterization of networks whose prelog is equal to the full prelog minus one they also fully characterize networks where the full prelog can only be achieved if each transmitter knows the messages of all users ie when the sideinformation is full | [['we', 'study', 'the', 'highpower', 'asymptotic', 'behavior', 'of', 'the', 'sumrate', 'capacity', 'of', 'multiuser', 'interference', 'networks', 'with', 'an', 'equal', 'number', 'of', 'transmitters', 'and', 'receivers', 'we', 'assume', 'that', 'each', 'transmitter', 'is', 'cognizant', 'of', 'the', 'message', 'it', 'wishes', 'to', 'convey', 'to', 'its', 'corresponding', 'receiver', 'and', 'also', 'of', 'the', 'messages', 'that', 'a', 'subset', 'of', 'the', 'other', 'transmitters', 'wish', 'to', 'send', 'the', 'receivers', 'are', 'assumed', 'not', 'to', 'be', 'able', 'to', 'cooperate', 'in', 'any', 'way', 'so', 'that', 'they', 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707.1009 | Search for the \phi-N bound state from \phi meson subthreshold
production | The subthreshold photoproduction of \phi mesons from heavy nuclear targets
has been suggested as a candidate to search for the \phi-N bound state, a
quantum chromodynamics molecular state. In this Brief Report, we present
detailed Monte Carlo studies to demonstrate the feasibility of this technique.
Further, we show that proton-induced subthreshold production of \phi meson from
heavy nuclear targets is also suitable for such a search.
| nucl-ex | the subthreshold photoproduction of phi mesons from heavy nuclear targets has been suggested as a candidate to search for the phin bound state a quantum chromodynamics molecular state in this brief report we present detailed monte carlo studies to demonstrate the feasibility of this technique further we show that protoninduced subthreshold production of phi meson from heavy nuclear targets is also suitable for such a search | [['the', 'subthreshold', 'photoproduction', 'of', 'phi', 'mesons', 'from', 'heavy', 'nuclear', 'targets', 'has', 'been', 'suggested', 'as', 'a', 'candidate', 'to', 'search', 'for', 'the', 'phin', 'bound', 'state', 'a', 'quantum', 'chromodynamics', 'molecular', 'state', 'in', 'this', 'brief', 'report', 'we', 'present', 'detailed', 'monte', 'carlo', 'studies', 'to', 'demonstrate', 'the', 'feasibility', 'of', 'this', 'technique', 'further', 'we', 'show', 'that', 'protoninduced', 'subthreshold', 'production', 'of', 'phi', 'meson', 'from', 'heavy', 'nuclear', 'targets', 'is', 'also', 'suitable', 'for', 'such', 'a', 'search']] | [-0.05885378802265746, 0.17541401939127932, -0.17129777818494898, 0.09808566227068448, -0.018605107187547466, -0.11441739503943334, 0.09613881327889183, 0.3639669224168315, -0.18951651707968928, -0.26326547453010624, -0.03667876544359112, -0.3140304511356534, -0.07330928249002407, 0.18718596925309888, 0.08878023015814974, 0.14432481518297485, 0.10777188205357754, 0.06018864440336598, -0.03197302064985375, -0.1633276997811415, 0.2955301942473108, 0.08215716596036642, 0.17941460071244475, 0.15543716223063794, 0.029703382628433632, 0.023591189426511075, 0.0041777377702987215, -0.08486607162789865, -0.1297698195034393, 0.06845460338235805, 0.24665674881896738, 0.13205542125753267, 0.19981039309817733, -0.3958653191556082, -0.18561211187448917, 0.147597170209117, 0.15916005006257558, 0.16932757832392148, -0.20690163494454641, -0.31735726493890537, 0.13147195486464736, -0.23240652911816584, -0.11855209340821161, -0.14433657439693695, 0.019135568816581683, 0.02967437318610874, -0.3032814972102642, 0.016525313494088496, -0.06447493768240692, 0.045727172220887784, -0.020006743090396576, -0.2581313547791179, 0.04727964345930201, 0.011298379599765845, 0.038622676657696225, 0.11266762447529331, 0.1733582963616672, -0.20009216218199016, -0.17687593689752798, 0.3569092954029188, -0.045650192984436275, -0.1210344188253988, 0.13951689873603312, -0.13832333967597646, -0.21450387464949128, 0.13030814428841977, 0.21210549733686176, 0.174293585290963, -0.2069323187073072, 0.08281448330363315, -0.04866269877124013, 0.21124234291456753, -0.01965072549258669, 0.07431235287874711, 0.16938002681303205, 0.2817878025499257, -0.0267842244339232, 0.16721153990224455, -0.12933132470105635, -0.10480164856452381, -0.35555842908268626, -0.16757300651057228, -0.09791443814438852, 0.11714917233047979, 0.010324310172687878, -0.0818347533685014, 0.3423460738902742, 0.0965522198204064, 0.2063531752562884, -0.027092714300096937, 0.33388704758589016, 0.07317915553699783, 0.008523394650017673, 0.055446357558001626, 0.2860031576657837, 0.16078621267595075, 0.10967220366001129, -0.2859372106578314, 0.03295120800788881, 0.0033137375404211607] |
707.101 | OH Masers in G11.904-0.141 | The massive star-forming region G11.904-0.141 is one of only 11 sources to
show maser emission in the highly-excited 13441 MHz transition of OH. VLBA
observations of the 1665, 1667, 4765, and 13441 MHz transitions of OH toward
G11.904-0.141 are presented. Masers are detected at 1665, 1667, and 4765 MHz,
but the 13441 MHz masers are not detected. Consistent magnetic field strengths
of approximately +3.5 mG are detected in the ground-state masers, in contrast
with a possible -3.0 mG magnetic field previously detected at 13441 MHz. The
variable 13441 MHz masers may be associated with an outflow.
| astro-ph | the massive starforming region g119040141 is one of only 11 sources to show maser emission in the highlyexcited 13441 mhz transition of oh vlba observations of the 1665 1667 4765 and 13441 mhz transitions of oh toward g119040141 are presented masers are detected at 1665 1667 and 4765 mhz but the 13441 mhz masers are not detected consistent magnetic field strengths of approximately 35 mg are detected in the groundstate masers in contrast with a possible 30 mg magnetic field previously detected at 13441 mhz the variable 13441 mhz masers may be associated with an outflow | [['the', 'massive', 'starforming', 'region', 'g119040141', 'is', 'one', 'of', 'only', '11', 'sources', 'to', 'show', 'maser', 'emission', 'in', 'the', 'highlyexcited', '13441', 'mhz', 'transition', 'of', 'oh', 'vlba', 'observations', 'of', 'the', '1665', '1667', '4765', 'and', '13441', 'mhz', 'transitions', 'of', 'oh', 'toward', 'g119040141', 'are', 'presented', 'masers', 'are', 'detected', 'at', '1665', '1667', 'and', '4765', 'mhz', 'but', 'the', '13441', 'mhz', 'masers', 'are', 'not', 'detected', 'consistent', 'magnetic', 'field', 'strengths', 'of', 'approximately', '35', 'mg', 'are', 'detected', 'in', 'the', 'groundstate', 'masers', 'in', 'contrast', 'with', 'a', 'possible', '30', 'mg', 'magnetic', 'field', 'previously', 'detected', 'at', '13441', 'mhz', 'the', 'variable', '13441', 'mhz', 'masers', 'may', 'be', 'associated', 'with', 'an', 'outflow']] | [-0.14033545341226272, 0.1307236100759102, 0.1543376171921796, -0.03521638471965104, -0.05075989106541222, -0.14885776481551535, 0.040441526476531584, 0.5426495028461548, -0.08004766558990517, -0.3258740379415611, 0.05188309907184993, -0.23681152538654018, 0.038334667365601725, 0.16005429980206362, 0.07585051649546082, -0.1189262304514488, 0.005755441828056219, -0.1135017487636589, -0.002536874849651445, -0.11830434927399805, 0.13733668300382634, 0.09414094692452792, 0.15806050446538372, -0.012693770036616541, 0.06572692046694933, -0.34227412585305306, -0.04551066322489939, -0.09813963470267172, -0.08398170292654887, 0.03395548721458366, 0.3929973887874091, 0.07853665870881857, 0.19883857954769057, -0.26910751932696936, -0.1913209690469654, 0.028016539164224363, 0.11125859753922263, 0.08167178289063196, 0.06270047558590452, -0.4337298964903234, 0.046903539181468966, -0.11883642718671485, -0.20559474823877533, 0.11264398054001813, 0.05162761669774401, 0.09598707537503635, -0.21281207143824468, 0.1723371077467628, -0.03127271976406151, 0.2140237965442716, -0.15091128180427674, -0.1979080572318127, -0.05048647715135458, 0.0005061083740772719, -0.05112416455968025, 0.20057414401758542, 0.19879142044389503, -0.008469911569610555, -0.12526350383686416, 0.3569136463660509, -0.14187990144846288, 0.07294678187711125, 0.2480081729392739, -0.33562608979682024, -0.29451455845636254, 0.3743926853417082, 0.057391564936396924, 0.11533824901314492, -0.13322927184561464, -0.07110793906526561, 0.012963539348578359, 0.28659427932840076, 0.14694450750570506, 0.11838307004778627, 0.27884098545628344, -0.059239147349875024, 0.05451708199813011, 0.1388072319356031, -0.33249286301694114, -0.019028525611886043, -0.24679013210016879, -0.06467943867833224, -0.11474184274792354, 0.08718626976197096, -0.04507128969596531, 0.0005532806557157334, 0.3556043169996206, 0.061036261755903744, 0.11992505916017801, -0.004279127884458037, 0.2181466183045562, 0.0783306847405719, 0.0999691209339715, 0.17110307704399716, 0.39224789641361607, 0.24914632579113574, 0.1475782436715003, -0.22834187190226735, 0.03966628554514907, -0.07702323311860575] |
707.1011 | Statistical Phases and Momentum Spacings for One-Dimensional Anyons | Anyons and fractional statistics are by now well established in
two-dimensional systems. In one dimension, fractional statistics has been
established so far only through Haldane's fractional exclusion principle, but
not via a fractional phase the wave function acquires as particles are
interchanged. At first sight, the topology of the configuration space appears
to preclude such phases in one dimension. Here we argue that the crossings of
one-dimensional anyons are always unidirectional, which makes it possible to
assign phases consistently and hence to introduce a statistical parameter
theta. The fractional statistics then manifests itself in fractional spacings
of the single-particle momenta of the anyons when periodic boundary conditions
are imposed. These spacings are given by Delta p = 2 pi hbar/L
(|theta|/pi+non-negative integer) for a system of length L. This condition is
the analogue of the quantisation of relative angular momenta according to
l_z=hbar(-theta/pi+2integer) for two-dimensional anyons.
| quant-ph cond-mat.str-el math-ph math.MP | anyons and fractional statistics are by now well established in twodimensional systems in one dimension fractional statistics has been established so far only through haldanes fractional exclusion principle but not via a fractional phase the wave function acquires as particles are interchanged at first sight the topology of the configuration space appears to preclude such phases in one dimension here we argue that the crossings of onedimensional anyons are always unidirectional which makes it possible to assign phases consistently and hence to introduce a statistical parameter theta the fractional statistics then manifests itself in fractional spacings of the singleparticle momenta of the anyons when periodic boundary conditions are imposed these spacings are given by delta p 2 pi hbarl thetapinonnegative integer for a system of length l this condition is the analogue of the quantisation of relative angular momenta according to l_zhbarthetapi2integer for twodimensional anyons | [['anyons', 'and', 'fractional', 'statistics', 'are', 'by', 'now', 'well', 'established', 'in', 'twodimensional', 'systems', 'in', 'one', 'dimension', 'fractional', 'statistics', 'has', 'been', 'established', 'so', 'far', 'only', 'through', 'haldanes', 'fractional', 'exclusion', 'principle', 'but', 'not', 'via', 'a', 'fractional', 'phase', 'the', 'wave', 'function', 'acquires', 'as', 'particles', 'are', 'interchanged', 'at', 'first', 'sight', 'the', 'topology', 'of', 'the', 'configuration', 'space', 'appears', 'to', 'preclude', 'such', 'phases', 'in', 'one', 'dimension', 'here', 'we', 'argue', 'that', 'the', 'crossings', 'of', 'onedimensional', 'anyons', 'are', 'always', 'unidirectional', 'which', 'makes', 'it', 'possible', 'to', 'assign', 'phases', 'consistently', 'and', 'hence', 'to', 'introduce', 'a', 'statistical', 'parameter', 'theta', 'the', 'fractional', 'statistics', 'then', 'manifests', 'itself', 'in', 'fractional', 'spacings', 'of', 'the', 'singleparticle', 'momenta', 'of', 'the', 'anyons', 'when', 'periodic', 'boundary', 'conditions', 'are', 'imposed', 'these', 'spacings', 'are', 'given', 'by', 'delta', 'p', '2', 'pi', 'hbarl', 'thetapinonnegative', 'integer', 'for', 'a', 'system', 'of', 'length', 'l', 'this', 'condition', 'is', 'the', 'analogue', 'of', 'the', 'quantisation', 'of', 'relative', 'angular', 'momenta', 'according', 'to', 'l_zhbarthetapi2integer', 'for', 'twodimensional', 'anyons']] | [-0.17717971076080444, 0.23296994150576877, -0.08524155851886411, 0.07643656371879509, -0.0769729814869286, -0.164290616383881, 0.049245577413772404, 0.3427237941451866, -0.2859162098472335, -0.28223576032106507, 0.0836947037458, -0.2502502688718304, -0.11615214529644016, 0.1470620251641097, -0.030206671043653304, 0.07587285631362506, -0.004102113496013721, 0.05761595370090553, -0.07898783375891122, -0.20852702665454248, 0.3164807260200434, -0.0081563476591148, 0.2393843222271756, 0.016517697767892355, 0.08653297720306462, -0.004054498627558876, -0.006052309448804549, 0.008795968932581288, -0.15478601449188278, 0.02273997112626577, 0.21555720528663122, -0.021987630080589106, 0.2166512195893209, -0.38911210738358576, -0.20787072459622746, 0.10469041826059176, 0.17339134511118098, 0.09774734911059593, 0.04953296692930424, -0.2966906149210867, 0.060119023494107623, -0.1463589409569567, -0.18019485573856567, -0.08399740165449157, 0.08103586516907098, 0.01244046489550719, -0.2459398783435127, 0.11877095661024419, 0.08348148316744441, 0.05070342617699693, -0.004060005337904981, -0.12930004902202047, -0.06204552666618633, 0.07743386620705665, 0.03200994916489794, 0.00531290836376466, 0.0733463300201832, -0.12803529866177485, -0.15812582195684, 0.39521405003099164, 0.021735021915011317, -0.2734561251151756, 0.17397779569810282, -0.1940201035683112, -0.12190617069037972, 0.13926422036200448, 0.08409525644244023, 0.0711915375038483, -0.10636253424144997, 0.09374956961665434, -0.04833949298807338, 0.14745466318616846, 0.0746536185427136, 0.07329556819799185, 0.2426799881078539, 0.09808974821222159, 0.11843060201991507, 0.1407813455902932, -0.1106750770180132, -0.12059191034075437, -0.3127007347492265, -0.1777205273247091, -0.2617066922059781, 0.05495914526514932, -0.03170375550730633, -0.16362017969613973, 0.3498430932629329, 0.1217824421039271, 0.1980781261546826, 0.016036477955681284, 0.24509570643659945, 0.18429955728737388, 0.05656592901402586, 0.0346102375310885, 0.1947066842702965, 0.13913227900006794, 0.08524101262446493, -0.19296294837881825, -0.0025884998572045857, 0.11214947277798094] |
707.1012 | V-type asteroids in the middle Main Belt | The recent discovery of the first V-type asteroid in the middle belt, (21238)
1995WV7, located at ~2.54 AU, raises the question of whether it came from (4)
Vesta or not. In this paper, we present spectroscopic observations indicating
the existence of another V-type asteroid at ~2.53 AU, (40521) 1999RL95, and we
investigate the possibility that these two asteroids evolved from the Vesta
family to their present orbits by drifting in semi-major axis due to the
Yarkovsky effect. The main problem with this scenario is that the asteroids
need to cross the 3/1 mean motion resonance with Jupiter, which is highly
unstable. Combining numerical simulations of the orbital evolution, that
include the Yarkovsky effect, with Monte Carlo models, we compute the
probability of an asteroid of given diameter D to evolve from the Vesta family
and to cross over the 3/1 resonance, reaching a stable orbit in the middle
belt. Our results indicate that an asteroid like (21238) 1995WV7 has a low
probability of having evolved through this mechanism due to its large size (~5
km). However, the mechanism might explain the orbit of smaller bodies like
(40521) 1999RL95 (~3 km), provided that we assume that the Vesta family formed
> 3.5 Gy ago. We estimate that about 10% or more of the V-type bodies with D>1
km may come from the Vesta family by crossing over the 3/1 resonance. The
remaining 90% must have a different origin.
| astro-ph | the recent discovery of the first vtype asteroid in the middle belt 21238 1995wv7 located at 254 au raises the question of whether it came from 4 vesta or not in this paper we present spectroscopic observations indicating the existence of another vtype asteroid at 253 au 40521 1999rl95 and we investigate the possibility that these two asteroids evolved from the vesta family to their present orbits by drifting in semimajor axis due to the yarkovsky effect the main problem with this scenario is that the asteroids need to cross the 31 mean motion resonance with jupiter which is highly unstable combining numerical simulations of the orbital evolution that include the yarkovsky effect with monte carlo models we compute the probability of an asteroid of given diameter d to evolve from the vesta family and to cross over the 31 resonance reaching a stable orbit in the middle belt our results indicate that an asteroid like 21238 1995wv7 has a low probability of having evolved through this mechanism due to its large size 5 km however the mechanism might explain the orbit of smaller bodies like 40521 1999rl95 3 km provided that we assume that the vesta family formed 35 gy ago we estimate that about 10 or more of the vtype bodies with d1 km may come from the vesta family by crossing over the 31 resonance the remaining 90 must have a different origin | [['the', 'recent', 'discovery', 'of', 'the', 'first', 'vtype', 'asteroid', 'in', 'the', 'middle', 'belt', '21238', '1995wv7', 'located', 'at', '254', 'au', 'raises', 'the', 'question', 'of', 'whether', 'it', 'came', 'from', '4', 'vesta', 'or', 'not', 'in', 'this', 'paper', 'we', 'present', 'spectroscopic', 'observations', 'indicating', 'the', 'existence', 'of', 'another', 'vtype', 'asteroid', 'at', '253', 'au', '40521', '1999rl95', 'and', 'we', 'investigate', 'the', 'possibility', 'that', 'these', 'two', 'asteroids', 'evolved', 'from', 'the', 'vesta', 'family', 'to', 'their', 'present', 'orbits', 'by', 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707.1013 | Internal mobility edge in doped graphene: frustration in a renormalized
lattice | We show that an internal localization mobility edge can appear around the
Fermi energy in graphene by introducing impurities in the split-band regimen,
or by producing vacancies in the lattice. The edge appears at the center of the
spectrum and not at the band edges, in contrast with the usual picture of
localization. Such result is explained by showing that the bipartite nature of
lattice allows to renormalize the Hamiltonian, and the internal edge appears
because of frustration effects in the renormalized lattice. The size in energy
of the spectral region with localized states is similar in value to that
observed in narrow gap semiconductors.
| cond-mat.mtrl-sci cond-mat.mes-hall | we show that an internal localization mobility edge can appear around the fermi energy in graphene by introducing impurities in the splitband regimen or by producing vacancies in the lattice the edge appears at the center of the spectrum and not at the band edges in contrast with the usual picture of localization such result is explained by showing that the bipartite nature of lattice allows to renormalize the hamiltonian and the internal edge appears because of frustration effects in the renormalized lattice the size in energy of the spectral region with localized states is similar in value to that observed in narrow gap semiconductors | [['we', 'show', 'that', 'an', 'internal', 'localization', 'mobility', 'edge', 'can', 'appear', 'around', 'the', 'fermi', 'energy', 'in', 'graphene', 'by', 'introducing', 'impurities', 'in', 'the', 'splitband', 'regimen', 'or', 'by', 'producing', 'vacancies', 'in', 'the', 'lattice', 'the', 'edge', 'appears', 'at', 'the', 'center', 'of', 'the', 'spectrum', 'and', 'not', 'at', 'the', 'band', 'edges', 'in', 'contrast', 'with', 'the', 'usual', 'picture', 'of', 'localization', 'such', 'result', 'is', 'explained', 'by', 'showing', 'that', 'the', 'bipartite', 'nature', 'of', 'lattice', 'allows', 'to', 'renormalize', 'the', 'hamiltonian', 'and', 'the', 'internal', 'edge', 'appears', 'because', 'of', 'frustration', 'effects', 'in', 'the', 'renormalized', 'lattice', 'the', 'size', 'in', 'energy', 'of', 'the', 'spectral', 'region', 'with', 'localized', 'states', 'is', 'similar', 'in', 'value', 'to', 'that', 'observed', 'in', 'narrow', 'gap', 'semiconductors']] | [-0.1484887748424496, 0.1979429617592056, -0.0403886383377193, 0.032645294155615075, 0.01661998303163619, -0.09760736707775365, 0.06931676654411213, 0.39235788974024, -0.27170014142812715, -0.3203474804404236, 0.020723072049163637, -0.30297233088266307, -0.12176833829753811, 0.08432688379349808, -0.04523272048266205, -0.014508020851228919, 0.04195897329066481, 0.026401680140268235, -0.042226783420136645, -0.16731237018303502, 0.32507245277852886, 0.07522447090152473, 0.28296205302966493, 0.13768754042795903, -0.03372091714824949, 0.04822031160417412, 0.05560570583190946, 0.06033924085398515, -0.09980824429623594, 0.10459660961059854, 0.2384606679990178, -0.05644055150804066, 0.21226831751742534, -0.429310999118856, -0.21718360255694105, 0.03424343456558528, 0.1592564940596709, 0.13855370896247526, -0.006796963836642958, -0.271716248044478, 0.07058763957271973, -0.12295619981873426, -0.17114965296128676, -0.020178157409619805, -0.00779704890613045, -0.034861249423452784, -0.22065212974058732, 0.10830725698421399, 0.07883419761256803, 0.021113246705915245, -0.09102995211225269, -0.0898666427293349, -0.1059391004366002, 0.07363842289584378, 0.028732137642579064, 0.018579194681452853, 0.12035088363946193, -0.17307844711521328, -0.12095269813157973, 0.4133054024229447, -0.07264164450489694, -0.12247616681492045, 0.1939505472014259, -0.2076803830363566, -0.0695158864593222, 0.16776974570183528, 0.0776601165289148, 0.03944792110650312, -0.09460247521055862, 0.1084130295851667, -0.012286338804378396, 0.13858750667755626, 0.04608425475834381, 0.09553310214320108, 0.23274553274469717, 0.12788714782024424, 0.11612944884137029, 0.1472924409278979, -0.11983627655122074, -0.07211890300913226, -0.2457259515477788, -0.12444915938235465, -0.2795163965074434, 0.04864629419268264, -0.06182139706548436, -0.18542429149328243, 0.43726954484979313, 0.12909534744740953, 0.2510615969387194, -0.04936198680218132, 0.19789812848681496, 0.15196501764779288, 0.11959466655694304, 0.10873863205668471, 0.2583711623081139, 0.06329896516454894, 0.06811193834458079, -0.2697662199980446, 0.0441469273701798, 0.052694806478740204] |
707.1014 | The low-dimensional homotopy of the stable mapping class group | Due to the deep work of Tillmann, Madsen, Weiss and Galatius, the cohomology
of the stable mapping class group $\gaminf$ is known with rational or finite
field coefficients. Little is known about the integral cohomology. In this
paper, we study the first four cohomology groups. Also, we compute the first
few steps of the Postnikov tower of $B \gaminf^+$, the Quillen plus
construction applied to $B \gaminf$. Our method relies on the Madsen-Weiss
theorem, a few known computations of stable homotopy groups of spheres and
projective spaces and on a certain action of the binary icosahedral group on a
surface. Using the latter, we can also describe an explicit geometric generator
of the third homotopy group $\pi_3 (B \gaminf)$.
| math.AT | due to the deep work of tillmann madsen weiss and galatius the cohomology of the stable mapping class group gaminf is known with rational or finite field coefficients little is known about the integral cohomology in this paper we study the first four cohomology groups also we compute the first few steps of the postnikov tower of b gaminf the quillen plus construction applied to b gaminf our method relies on the madsenweiss theorem a few known computations of stable homotopy groups of spheres and projective spaces and on a certain action of the binary icosahedral group on a surface using the latter we can also describe an explicit geometric generator of the third homotopy group pi_3 b gaminf | [['due', 'to', 'the', 'deep', 'work', 'of', 'tillmann', 'madsen', 'weiss', 'and', 'galatius', 'the', 'cohomology', 'of', 'the', 'stable', 'mapping', 'class', 'group', 'gaminf', 'is', 'known', 'with', 'rational', 'or', 'finite', 'field', 'coefficients', 'little', 'is', 'known', 'about', 'the', 'integral', 'cohomology', 'in', 'this', 'paper', 'we', 'study', 'the', 'first', 'four', 'cohomology', 'groups', 'also', 'we', 'compute', 'the', 'first', 'few', 'steps', 'of', 'the', 'postnikov', 'tower', 'of', 'b', 'gaminf', 'the', 'quillen', 'plus', 'construction', 'applied', 'to', 'b', 'gaminf', 'our', 'method', 'relies', 'on', 'the', 'madsenweiss', 'theorem', 'a', 'few', 'known', 'computations', 'of', 'stable', 'homotopy', 'groups', 'of', 'spheres', 'and', 'projective', 'spaces', 'and', 'on', 'a', 'certain', 'action', 'of', 'the', 'binary', 'icosahedral', 'group', 'on', 'a', 'surface', 'using', 'the', 'latter', 'we', 'can', 'also', 'describe', 'an', 'explicit', 'geometric', 'generator', 'of', 'the', 'third', 'homotopy', 'group', 'pi_3', 'b', 'gaminf']] | [-0.17612228458238563, 0.0471702324034022, -0.10691698303273997, 0.06912200724678662, -0.104338090569407, -0.1045991742803457, 0.04237951773527947, 0.3287605966496117, -0.3092316307417047, -0.2532579726109109, 0.11696858136002913, -0.1998691717671434, -0.17464646574465886, 0.1829147486920085, -0.15599206066103416, -0.02884197491808098, 0.02175085701854477, 0.11416021567581519, -0.06935031937842234, -0.2990332612681727, 0.3969780434736935, -0.0001499307551714709, 0.19244686003067352, 0.026467775619792275, 0.11156042649199356, 0.027944887837614205, -0.058943174149402804, -0.04028736315511104, -0.15155269048262796, 0.17030840081029705, 0.24477810439841524, 0.019852272598777247, 0.19711618551968776, -0.3433047149079938, -0.11256042373843077, 0.1354831844566296, 0.1005548425331837, 0.07918710130102494, -0.02437886890286126, -0.3029741812115848, 0.11084434855924997, -0.19767647985556797, -0.11894351992161334, -0.11239584245789452, 0.03605117741287412, 0.01796858326312812, -0.20103681898292372, -0.02007957439949861, 0.09154560996861268, 0.12377595822444233, -0.08165115802431432, -0.09603009667607541, -0.04311441480448203, 0.1231814675764846, 0.02438254840470246, 0.04627587181562949, 0.11017903320475661, -0.053203212142288056, -0.12419665514045403, 0.37883324064940466, -0.09744680958541752, -0.13577199646686555, 0.1825885745000188, -0.145496371272607, -0.22071316619912365, 0.14183124316809306, 0.07326548957430265, 0.22403599232623056, -0.03969163523337358, 0.17753997709095368, -0.11892208204205547, 0.10943478524504903, 0.0927265652928877, -0.06583525343336352, 0.0882956047964032, 0.09436733272521436, 0.06256751838226278, 0.13042186778195264, -0.026469452175538706, -0.05910630694917254, -0.32916948483755987, -0.20456624149463234, -0.13680919711947628, 0.10734290589711495, -0.07638428065529144, -0.19383743587302185, 0.40870746372251954, 0.05276843689444686, 0.15699338983008718, 0.11943576460755077, 0.2389756153032434, 0.011873751476665317, 0.063178224629476, 0.013810634331292464, 0.15665476308243365, 0.2570128386934139, 0.00538420954625271, -0.14719899098472983, -0.036662205932427104, 0.2444591969290764] |
707.1015 | The Half-Filled One-Dimensional Extended Hubbard Model: Phase diagram
and Thermodynamics | We study the thermodynamics of the one-dimensional extended Hubbard model at
half-filling using a density-matrix renormalization group method applied to
transfer matrices. We show that the various phase transitions in this system
can be detected by measuring usual thermodynamic quantities like the isothermal
compressibility and the uniform magnetic susceptibility. For the isothermal
compressibility we show that universal crossing points exist which allow to
accurately determine the line where the charge gap vanishes. By studying in
addition several correlation functions, we confirm the existence of a phase
with long-range dimer order (bond order) which has been a matter of debate for
several years. According to our calculations this phase is located in a narrow
region between the spin-density and charge-density wave phases up to a
tricritical point which we estimate to be at $U_t=6.7\pm 0.2$, $V_t =3.5\pm
0.1$. Our results for the phase diagram are in good agreement with the most
recent zero-temperature density-matrix renormalization group study, however,
they disagree in some important aspects from the most recent
Quantum-Monte-Carlo study.
| cond-mat.str-el | we study the thermodynamics of the onedimensional extended hubbard model at halffilling using a densitymatrix renormalization group method applied to transfer matrices we show that the various phase transitions in this system can be detected by measuring usual thermodynamic quantities like the isothermal compressibility and the uniform magnetic susceptibility for the isothermal compressibility we show that universal crossing points exist which allow to accurately determine the line where the charge gap vanishes by studying in addition several correlation functions we confirm the existence of a phase with longrange dimer order bond order which has been a matter of debate for several years according to our calculations this phase is located in a narrow region between the spindensity and chargedensity wave phases up to a tricritical point which we estimate to be at u_t67pm 02 v_t 35pm 01 our results for the phase diagram are in good agreement with the most recent zerotemperature densitymatrix renormalization group study however they disagree in some important aspects from the most recent quantummontecarlo study | [['we', 'study', 'the', 'thermodynamics', 'of', 'the', 'onedimensional', 'extended', 'hubbard', 'model', 'at', 'halffilling', 'using', 'a', 'densitymatrix', 'renormalization', 'group', 'method', 'applied', 'to', 'transfer', 'matrices', 'we', 'show', 'that', 'the', 'various', 'phase', 'transitions', 'in', 'this', 'system', 'can', 'be', 'detected', 'by', 'measuring', 'usual', 'thermodynamic', 'quantities', 'like', 'the', 'isothermal', 'compressibility', 'and', 'the', 'uniform', 'magnetic', 'susceptibility', 'for', 'the', 'isothermal', 'compressibility', 'we', 'show', 'that', 'universal', 'crossing', 'points', 'exist', 'which', 'allow', 'to', 'accurately', 'determine', 'the', 'line', 'where', 'the', 'charge', 'gap', 'vanishes', 'by', 'studying', 'in', 'addition', 'several', 'correlation', 'functions', 'we', 'confirm', 'the', 'existence', 'of', 'a', 'phase', 'with', 'longrange', 'dimer', 'order', 'bond', 'order', 'which', 'has', 'been', 'a', 'matter', 'of', 'debate', 'for', 'several', 'years', 'according', 'to', 'our', 'calculations', 'this', 'phase', 'is', 'located', 'in', 'a', 'narrow', 'region', 'between', 'the', 'spindensity', 'and', 'chargedensity', 'wave', 'phases', 'up', 'to', 'a', 'tricritical', 'point', 'which', 'we', 'estimate', 'to', 'be', 'at', 'u_t67pm', '02', 'v_t', '35pm', '01', 'our', 'results', 'for', 'the', 'phase', 'diagram', 'are', 'in', 'good', 'agreement', 'with', 'the', 'most', 'recent', 'zerotemperature', 'densitymatrix', 'renormalization', 'group', 'study', 'however', 'they', 'disagree', 'in', 'some', 'important', 'aspects', 'from', 'the', 'most', 'recent', 'quantummontecarlo', 'study']] | [-0.1412308629050607, 0.14888399397508087, -0.09695575360785283, 0.05596360278113501, -0.016828627563968655, -0.10702472260787285, 0.08436920898523004, 0.3782168536868301, -0.23007004600921868, -0.26482092259435114, 0.08405045634121745, -0.3255625059495547, -0.13897076734775465, 0.14942163619811513, 0.06642740130423806, 0.05068156241101124, -0.014749109478586996, 0.01734056607321171, -0.16103676607114417, -0.19668606114906392, 0.3123172967167366, 0.0052780080364928355, 0.2657422403184076, 0.08704073827885579, 0.002508533431128377, -0.015291757392419857, 0.05024505915242203, 0.06190032211863928, -0.19395819838739822, 0.03234687483026868, 0.2739164889776259, -0.030791788116662895, 0.21185658734369403, -0.3973677371340316, -0.25429324829019606, 0.09583042695608344, 0.14032080720062368, 0.13133609749534766, -0.050434552889782935, -0.2918092003207048, 0.059567810754136495, -0.19315259594060036, -0.14962037830125718, -0.12213998869507729, -0.011816707994079306, 0.017978466923176756, -0.22702757161182707, 0.1159638445658077, 0.0023437977180860584, 0.05914428717850179, -0.04459549996231328, -0.10038556209751516, -0.01257532406833932, 0.11242530097453189, 0.04699035206535233, 0.08122552413953513, 0.11442765559712868, -0.10823056196073551, -0.07966321253271806, 0.38619827342197477, -0.06260059808985152, -0.10840134300468933, 0.17947620799254982, -0.20634035546191581, -0.15005205312211597, 0.14146775744267784, 0.10285548816093415, 0.08191132540897732, -0.13670336225047885, 0.06105465116880147, -0.04507421626463578, 0.18229350143796874, 0.024762515555180255, -0.011713917991203613, 0.22403363809765628, 0.1317532718641728, 0.03312676573460478, 0.12951616683442677, -0.10028081656569807, -0.15720513783439638, -0.2792516724882825, -0.14576099304845447, -0.18160115900294235, 0.015073161953599387, -0.09358101011890713, -0.15992020431994683, 0.39924667444678824, 0.21262159482284915, 0.21165255617372514, 0.0011729258133397838, 0.2305631806292305, 0.13709642587734075, 0.03684136895130256, 0.08630216287704007, 0.25641627847497667, 0.16005669636485567, 0.0762947462762462, -0.2604968960967242, 0.03581418784839722, 0.08328540034389811] |
707.1016 | Spatial and spectral shape of inhomogeneous non-equilibrium
exciton-polariton condensates | We develop a mean-field theory of the spatial profile and the spectral
properties of polariton condensates in nonresonantly pumped semiconductor
microcavities in the strong coupling regime. Predictions are obtained for both
the continuous-wave and the pulsed excitation regimes and the specific
signatures of the non-equilibrium character of the condensation process are
pointed out. A striking sensitivity of the condensate shape on the optical pump
spot size is demonstrated by analytical and numerical calculations, in good
quantitative agreement with recent experimental observations.
| cond-mat.other | we develop a meanfield theory of the spatial profile and the spectral properties of polariton condensates in nonresonantly pumped semiconductor microcavities in the strong coupling regime predictions are obtained for both the continuouswave and the pulsed excitation regimes and the specific signatures of the nonequilibrium character of the condensation process are pointed out a striking sensitivity of the condensate shape on the optical pump spot size is demonstrated by analytical and numerical calculations in good quantitative agreement with recent experimental observations | [['we', 'develop', 'a', 'meanfield', 'theory', 'of', 'the', 'spatial', 'profile', 'and', 'the', 'spectral', 'properties', 'of', 'polariton', 'condensates', 'in', 'nonresonantly', 'pumped', 'semiconductor', 'microcavities', 'in', 'the', 'strong', 'coupling', 'regime', 'predictions', 'are', 'obtained', 'for', 'both', 'the', 'continuouswave', 'and', 'the', 'pulsed', 'excitation', 'regimes', 'and', 'the', 'specific', 'signatures', 'of', 'the', 'nonequilibrium', 'character', 'of', 'the', 'condensation', 'process', 'are', 'pointed', 'out', 'a', 'striking', 'sensitivity', 'of', 'the', 'condensate', 'shape', 'on', 'the', 'optical', 'pump', 'spot', 'size', 'is', 'demonstrated', 'by', 'analytical', 'and', 'numerical', 'calculations', 'in', 'good', 'quantitative', 'agreement', 'with', 'recent', 'experimental', 'observations']] | [-0.12749243694369072, 0.14984611257404826, -0.09267013353284126, 0.043402672572213946, 0.02312708726543703, -0.13041714752483882, 0.06229615272425207, 0.43580685560534027, -0.17974397887326318, -0.26367823785331884, 0.026079430424516308, -0.29329648633476024, -0.08688603653744967, 0.22022360086981438, 0.04581444404651353, 0.09367993895185789, 0.040235483239945254, -0.06506740237459724, -0.005564377377281126, -0.14899805639755487, 0.27681030787493066, 0.05289190422375629, 0.35971641202491744, 0.10710870016964129, 0.05995058979735606, -0.047926365656571254, 0.0271973954513669, -0.020738888278971485, -0.18124586924404643, 0.08365056606262554, 0.21421528980135918, -0.025708115022962937, 0.21575546560142142, -0.45692246966063976, -0.25593755921969813, 0.019809251059030676, 0.14933311267120672, 0.1597673674426645, -0.11277110006280795, -0.3108198113285327, -0.007949255309125155, -0.12465128416582126, -0.14539984223306363, -0.10741065166614673, -0.006310340695451071, 0.07447704541738387, -0.2763943818892226, 0.08085018643005579, 0.03332754780457896, 0.08534661817490512, -0.060547391734557386, -0.06496642470175837, -0.04762273208226687, 0.04859618893767029, -0.0013271960818616927, -0.011886639888455838, 0.14686992360324955, -0.20397033189986774, -0.09347096526489397, 0.33318761830436594, -0.1417881017665804, -0.07931666882179769, 0.18554984364532118, -0.21937551302835345, -0.04109670073627552, 0.15789927203599133, 0.09294317417740706, 0.11636199759618368, -0.08377272267768412, 0.040016270912378846, -0.058676035436629144, 0.20475266018399485, 0.06321732495210053, 0.10006107503674382, 0.2721840270139553, 0.21552997536635327, -0.05483998176584273, 0.15552243063755242, -0.0912827588474079, -0.14529879262417922, -0.28574345710782195, -0.0616739039297825, -0.17264370131018905, 0.025823176168710178, -0.09514826288328931, -0.11084415438228551, 0.43772851928125744, 0.12666124662827774, 0.17030192525298507, -0.00241437608399141, 0.29494362108317423, 0.1753778014401043, -0.006384895539578096, -0.0333484649301771, 0.3455786029865712, 0.20318170200263, 0.10003377304032997, -0.32018126190329593, -0.012496121237801824, -0.020453530829399824] |
707.1017 | Nambu monopoles in lattice Electroweak theory | We considered the lattice electroweak theory at realistic values of $\alpha$
and $\theta_W$ and for large values of the Higgs mass. We investigated
numerically the properties of topological objects that are identified with
quantum Nambu monopoles. We have found that the action density near the Nambu
monopole worldlines exceeds the density averaged over the lattice in the
physical region of the phase diagram. Moreover, their percolation probability
is found to be an order parameter for the transition between the symmetric and
the broken phases. Therefore, these monopoles indeed appear as real physical
objects. However, we have found that their density on the lattice increases
with increasing ultraviolet cutoff. Thus we conclude, that the conventional
lattice electroweak theory is not able to predict the density of Nambu
monopoles. This means that the description of Nambu monopole physics based on
the lattice Weinberg - Salam model with finite ultraviolet cutoff is
incomplete. We expect that the correct description may be obtained only within
the lattice theory that involves the description of TeV - scale physics.
| hep-lat hep-ph | we considered the lattice electroweak theory at realistic values of alpha and theta_w and for large values of the higgs mass we investigated numerically the properties of topological objects that are identified with quantum nambu monopoles we have found that the action density near the nambu monopole worldlines exceeds the density averaged over the lattice in the physical region of the phase diagram moreover their percolation probability is found to be an order parameter for the transition between the symmetric and the broken phases therefore these monopoles indeed appear as real physical objects however we have found that their density on the lattice increases with increasing ultraviolet cutoff thus we conclude that the conventional lattice electroweak theory is not able to predict the density of nambu monopoles this means that the description of nambu monopole physics based on the lattice weinberg salam model with finite ultraviolet cutoff is incomplete we expect that the correct description may be obtained only within the lattice theory that involves the description of tev scale physics | [['we', 'considered', 'the', 'lattice', 'electroweak', 'theory', 'at', 'realistic', 'values', 'of', 'alpha', 'and', 'theta_w', 'and', 'for', 'large', 'values', 'of', 'the', 'higgs', 'mass', 'we', 'investigated', 'numerically', 'the', 'properties', 'of', 'topological', 'objects', 'that', 'are', 'identified', 'with', 'quantum', 'nambu', 'monopoles', 'we', 'have', 'found', 'that', 'the', 'action', 'density', 'near', 'the', 'nambu', 'monopole', 'worldlines', 'exceeds', 'the', 'density', 'averaged', 'over', 'the', 'lattice', 'in', 'the', 'physical', 'region', 'of', 'the', 'phase', 'diagram', 'moreover', 'their', 'percolation', 'probability', 'is', 'found', 'to', 'be', 'an', 'order', 'parameter', 'for', 'the', 'transition', 'between', 'the', 'symmetric', 'and', 'the', 'broken', 'phases', 'therefore', 'these', 'monopoles', 'indeed', 'appear', 'as', 'real', 'physical', 'objects', 'however', 'we', 'have', 'found', 'that', 'their', 'density', 'on', 'the', 'lattice', 'increases', 'with', 'increasing', 'ultraviolet', 'cutoff', 'thus', 'we', 'conclude', 'that', 'the', 'conventional', 'lattice', 'electroweak', 'theory', 'is', 'not', 'able', 'to', 'predict', 'the', 'density', 'of', 'nambu', 'monopoles', 'this', 'means', 'that', 'the', 'description', 'of', 'nambu', 'monopole', 'physics', 'based', 'on', 'the', 'lattice', 'weinberg', 'salam', 'model', 'with', 'finite', 'ultraviolet', 'cutoff', 'is', 'incomplete', 'we', 'expect', 'that', 'the', 'correct', 'description', 'may', 'be', 'obtained', 'only', 'within', 'the', 'lattice', 'theory', 'that', 'involves', 'the', 'description', 'of', 'tev', 'scale', 'physics']] | [-0.11460701206495458, 0.2369279834307895, -0.10052091823836341, 0.11670967878103909, -0.052598122989334035, -0.09236214557602697, 0.05372357640990018, 0.373310138378837, -0.19304435142473866, -0.28815064076552094, 0.0537683978174372, -0.264566049404573, -0.13756468512488212, 0.11261774592335766, 0.014223626528680052, 0.03324596440757908, -0.01785454247214924, 0.07963236249787242, -0.10562594013413883, -0.2375204754361545, 0.312499924407651, 0.05650128959473876, 0.25110031075623124, 0.08541097916793405, 0.060153341410294915, -0.012386356436848989, 0.01647689886260451, 0.03335459421426929, -0.16408085110419457, 0.07758675267333055, 0.18491795873922998, 0.021775455712422467, 0.14556573047602211, -0.39316339228759734, -0.2282331370100466, 0.09411549021773127, 0.14092711523469342, 0.11409760022819129, -0.018320541977283288, -0.2933213728431024, 0.10685077084674996, -0.18136246359024785, -0.16534491583340044, -0.09035680748587638, 0.004868744965098057, -0.03378023307740536, -0.2361202267820985, 0.07661868269114118, -0.009967114893469022, 0.05805465647248192, -0.07589356507357123, -0.1269542588614069, -0.08222762521966333, 0.09153838478279305, 0.07321377698269438, 0.02807454735160484, 0.12510344581624047, -0.17311832942041344, -0.11841206951883801, 0.42541075310511894, -0.03187864343839975, -0.13888983992037326, 0.16163849637418853, -0.1816527868270614, -0.12734995560794768, 0.13240058812427155, 0.09980840863365877, 0.0784854063279491, -0.10515891899469129, 0.1424943620100078, -0.06445477278739736, 0.17494424487183644, 0.03723383105458006, 0.047521554101095126, 0.2688993583515025, 0.13166320077225305, 0.03418877849638549, 0.06533940361093796, -0.07479059100368915, -0.16145955229434047, -0.38160575525453916, -0.08419815630635671, -0.19263726644414036, 0.05581911290018501, -0.0873072991384723, -0.18198682534731705, 0.3391695473947677, 0.1787787473608048, 0.21452474613450687, 0.02050428795056385, 0.20317059406487828, 0.14655723112801428, 0.08601907107227466, 0.04314582672906898, 0.29351507129463533, 0.11638984416423594, 0.10458849365782123, -0.2488274263913814, -0.03809571067144964, 0.12851928125070244] |
707.1018 | Solutions to the 1d Klein-Gordon equation with cutoff Coulomb potentials | In a recent paper by Barton (J. Phys. A40, 1011 (2007)), the 1-dimensional
Klein-Gordon equation was solved analytically for the non-singular Coulomb-like
potential V_1(|x|) = -\alpha/(|x|+a). In the present paper, these results are
completely confirmed by a numerical formulation that also allows a solution for
an alternative cutoff Coulomb potential V_2(|x|) = -\alpha/|x|, ~|x| > a, and
otherwise V_2(|x|) = -\alpha/a.
| math-ph math.MP | in a recent paper by barton j phys a40 1011 2007 the 1dimensional kleingordon equation was solved analytically for the nonsingular coulomblike potential v_1x alphaxa in the present paper these results are completely confirmed by a numerical formulation that also allows a solution for an alternative cutoff coulomb potential v_2x alphax x a and otherwise v_2x alphaa | [['in', 'a', 'recent', 'paper', 'by', 'barton', 'j', 'phys', 'a40', '1011', '2007', 'the', '1dimensional', 'kleingordon', 'equation', 'was', 'solved', 'analytically', 'for', 'the', 'nonsingular', 'coulomblike', 'potential', 'v_1x', 'alphaxa', 'in', 'the', 'present', 'paper', 'these', 'results', 'are', 'completely', 'confirmed', 'by', 'a', 'numerical', 'formulation', 'that', 'also', 'allows', 'a', 'solution', 'for', 'an', 'alternative', 'cutoff', 'coulomb', 'potential', 'v_2x', 'alphax', 'x', 'a', 'and', 'otherwise', 'v_2x', 'alphaa']] | [-0.11861855891766027, 0.08442493614841494, -0.08435592406229782, 0.014306355500593781, -0.05769799029388066, -0.17964014181468105, 0.012437517072872393, 0.3280297347976427, -0.17167128755577973, -0.24154590411178237, 0.04332067697188385, -0.2928642778032164, -0.2046694899576583, 0.160863381519448, -0.06482506895970021, 0.04180160665107126, 0.04038835338516427, -0.043495610497692336, -0.04700842712762616, -0.2618038348404558, 0.2733486212133097, 0.028412016690708697, 0.16176437802589913, 0.09337320148811809, 0.09576817609403017, 0.02147538634848648, 0.016824767226353288, 0.012126578727994846, -0.21024025900637103, 0.02622767401460026, 0.20421212342833833, 0.015027950734033116, 0.2694223830975326, -0.37869417833696517, -0.2065507351321035, 0.10413458772070174, 0.17593633887008764, 0.05424014678491013, -0.09345767038342144, -0.3046075569997941, 0.04652249653424535, -0.2218335520176749, -0.21451880493467407, -0.0982110015008532, 0.14186087959179922, -0.0003882593716428216, -0.3263655878836289, 0.14339103150944407, 0.044408336764068475, -0.005354528847549643, -0.10786695744588672, -0.11865789422466021, 0.016013595367050066, -0.05917378729541919, -0.00409243619839929, 0.12382514235131177, -0.003431712676371847, -0.050045209853643816, -0.0840501686657912, 0.3336821624210903, -0.0548875552901466, -0.2326564590579697, 0.1489646069239825, -0.06217715474278001, -0.10060236302836399, 0.14752063080335834, 0.07164697275896158, 0.16559201268579013, -0.22135367239700696, 0.24886779193496164, -0.0784115883933347, 0.11882327826294516, 0.10084556527934703, -0.10597049570476104, 0.13551875091590254, 0.07340511009429715, 0.009918731416941487, 0.06765082929632626, -0.03905949112959206, -0.05970969330519438, -0.31395369668358136, -0.14543238375335932, -0.18613387369051843, 0.13771852645108343, -0.05125737265890556, -0.08860479797502714, 0.33784919513865524, 0.10381372652981165, 0.1744251009274324, 0.03392649310574468, 0.21298786488893842, 0.15055088239855, -0.0667113171823855, 0.10549971246759274, 0.24228810938075185, 0.1530087964451273, 0.13407043132299026, -0.19079618057419015, -0.0800125231513188, 0.14716101574179316] |
707.1019 | Stroemgren photometry of Galactic Globular Clusters. I. New Calibrations
of the metallicity index | We present a new calibration of the Stroemgren metallicity index m1 using red
giant (RG) stars in 4 globular clusters (GCs:M92,M13,NGC1851,47Tuc) with
metallicity ranging from [Fe/H]=-2.2 to -0.7, marginally affected by reddening
(E(B-V)<0.04) and with accurate u,v,b,y photometry.The main difference between
the new metallicity-index-color (MIC) relations and similar relations available
in the literature is that we adopted the u-y/v-y colors instead of the
b-y.These colors present a stronger sensitivity to effective temperature, and
the MIC relations show a linear slope. The difference between photometric
estimates and spectroscopic measurements for RGs in M71,NGC288,NGC362,NGC6397,
and NGC6752 is 0.04+/-0.03dex (sigma=0.11dex). We also apply the MIC relations
to 85 field RGs with metallicity raning from [Fe/H]=-2.4 to -0.5 and accurate
reddening estimates. We find that the difference between photometric estimates
and spectroscopic measurements is-0.14+/-0.01dex (sig=0.17dex). We also provide
two sets of MIC relations based on evolutionary models that have been
transformed into the observational plane by adopting either semi-empirical or
theoretical color-temperature relations. We apply the semi-empirical relations
to the 9 GCs and find that the difference between photometric and spectroscopic
metallicities is 0.04+/-0.03dex (sig=0.10dex).A similar agreement is found for
the sample of field RGs, with a difference of -0.09+/-0.03dex (sig=0.19dex).The
difference between metallicity estimates based on theoretical relations and
spectroscopic measurements is -0.11+/-0.03dex (sig=0.14dex) for the 9 GGCs and
-0.24+/-0.03dex (sig=0.15dex) for the field RGs. Current evidence indicates
that new MIC relations provide metallicities with an intrinsic accuracy better
than 0.2dex.
| astro-ph | we present a new calibration of the stroemgren metallicity index m1 using red giant rg stars in 4 globular clusters gcsm92m13ngc185147tuc with metallicity ranging from feh22 to 07 marginally affected by reddening ebv004 and with accurate uvby photometrythe main difference between the new metallicityindexcolor mic relations and similar relations available in the literature is that we adopted the uyvy colors instead of the bythese colors present a stronger sensitivity to effective temperature and the mic relations show a linear slope the difference between photometric estimates and spectroscopic measurements for rgs in m71ngc288ngc362ngc6397 and ngc6752 is 004003dex sigma011dex we also apply the mic relations to 85 field rgs with metallicity raning from feh24 to 05 and accurate reddening estimates we find that the difference between photometric estimates and spectroscopic measurements is014001dex sig017dex we also provide two sets of mic relations based on evolutionary models that have been transformed into the observational plane by adopting either semiempirical or theoretical colortemperature relations we apply the semiempirical relations to the 9 gcs and find that the difference between photometric and spectroscopic metallicities is 004003dex sig010dexa similar agreement is found for the sample of field rgs with a difference of 009003dex sig019dexthe difference between metallicity estimates based on theoretical relations and spectroscopic measurements is 011003dex sig014dex for the 9 ggcs and 024003dex sig015dex for the field rgs current evidence indicates that new mic relations provide metallicities with an intrinsic accuracy better than 02dex | [['we', 'present', 'a', 'new', 'calibration', 'of', 'the', 'stroemgren', 'metallicity', 'index', 'm1', 'using', 'red', 'giant', 'rg', 'stars', 'in', '4', 'globular', 'clusters', 'gcsm92m13ngc185147tuc', 'with', 'metallicity', 'ranging', 'from', 'feh22', 'to', '07', 'marginally', 'affected', 'by', 'reddening', 'ebv004', 'and', 'with', 'accurate', 'uvby', 'photometrythe', 'main', 'difference', 'between', 'the', 'new', 'metallicityindexcolor', 'mic', 'relations', 'and', 'similar', 'relations', 'available', 'in', 'the', 'literature', 'is', 'that', 'we', 'adopted', 'the', 'uyvy', 'colors', 'instead', 'of', 'the', 'bythese', 'colors', 'present', 'a', 'stronger', 'sensitivity', 'to', 'effective', 'temperature', 'and', 'the', 'mic', 'relations', 'show', 'a', 'linear', 'slope', 'the', 'difference', 'between', 'photometric', 'estimates', 'and', 'spectroscopic', 'measurements', 'for', 'rgs', 'in', 'm71ngc288ngc362ngc6397', 'and', 'ngc6752', 'is', '004003dex', 'sigma011dex', 'we', 'also', 'apply', 'the', 'mic', 'relations', 'to', '85', 'field', 'rgs', 'with', 'metallicity', 'raning', 'from', 'feh24', 'to', '05', 'and', 'accurate', 'reddening', 'estimates', 'we', 'find', 'that', 'the', 'difference', 'between', 'photometric', 'estimates', 'and', 'spectroscopic', 'measurements', 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'relations', 'provide', 'metallicities', 'with', 'an', 'intrinsic', 'accuracy', 'better', 'than', '02dex']] | [-0.01971177864696439, 0.06949034880281407, -0.12667209347157174, 0.11110431156065378, -0.10112509098154872, -0.08257988062325745, 0.11203955010761886, 0.4408127735794169, -0.15626188225567886, -0.4021715775884892, 0.02212139678593793, -0.33741260663346817, -0.06857727394975109, 0.2386236114142522, -0.06887881370627036, -0.025980759822427545, 0.06935092898885205, -0.0857383563546315, -0.10913709115521923, -0.24423995194318768, 0.31119315574566525, -0.0062161866834888994, 0.21364106989936632, -0.03601541716376049, 0.04829924936261726, -0.07105846778323797, -0.10311848287189966, 0.03826545403853535, -0.21030061036648284, 0.11834066712162479, 0.20272095933456952, 0.11012811139045224, 0.18070861424817003, -0.3069043780152288, -0.15542261783016598, 0.04391947022286248, 0.17962966702631825, 0.022821211838695014, -0.0915383969138049, -0.20784671917200498, 0.06434340580668488, 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707.102 | Gutzwiller-RVB Theory of High Temperature Superconductivity: Results
from Renormalised Mean Field Theory and Variational Monte Carlo Calculations | We review the Resonating Valence Bond (RVB) theory of high temperatur e
superconductivity using Gutzwiller projected wave functions that incorporate
strong correlations. After a general overview of the phenomenon of high
temperature superconductivity, we discuss Anderson's RVB picture and its
implementation by renormalised mean field theory (RMFT) and variational Monte
Carlo (VMC) techniques. We review RMFT and VMC results with an emphasis on
recent development s in extending VMC and RMFT techniques to excited states. We
compare results obtained from these methods with angle resolved photoemission
spectroscopy (ARPES) and scanning tunnelling microscopy (STM). We conclude by
summarising recent successes of this approach and discuss open problems that
need to be solved for a consistent and complete description of high temperature
superconductivity using Gutzwiller projected wave functions.
| cond-mat.str-el cond-mat.supr-con | we review the resonating valence bond rvb theory of high temperatur e superconductivity using gutzwiller projected wave functions that incorporate strong correlations after a general overview of the phenomenon of high temperature superconductivity we discuss andersons rvb picture and its implementation by renormalised mean field theory rmft and variational monte carlo vmc techniques we review rmft and vmc results with an emphasis on recent development s in extending vmc and rmft techniques to excited states we compare results obtained from these methods with angle resolved photoemission spectroscopy arpes and scanning tunnelling microscopy stm we conclude by summarising recent successes of this approach and discuss open problems that need to be solved for a consistent and complete description of high temperature superconductivity using gutzwiller projected wave functions | [['we', 'review', 'the', 'resonating', 'valence', 'bond', 'rvb', 'theory', 'of', 'high', 'temperatur', 'e', 'superconductivity', 'using', 'gutzwiller', 'projected', 'wave', 'functions', 'that', 'incorporate', 'strong', 'correlations', 'after', 'a', 'general', 'overview', 'of', 'the', 'phenomenon', 'of', 'high', 'temperature', 'superconductivity', 'we', 'discuss', 'andersons', 'rvb', 'picture', 'and', 'its', 'implementation', 'by', 'renormalised', 'mean', 'field', 'theory', 'rmft', 'and', 'variational', 'monte', 'carlo', 'vmc', 'techniques', 'we', 'review', 'rmft', 'and', 'vmc', 'results', 'with', 'an', 'emphasis', 'on', 'recent', 'development', 's', 'in', 'extending', 'vmc', 'and', 'rmft', 'techniques', 'to', 'excited', 'states', 'we', 'compare', 'results', 'obtained', 'from', 'these', 'methods', 'with', 'angle', 'resolved', 'photoemission', 'spectroscopy', 'arpes', 'and', 'scanning', 'tunnelling', 'microscopy', 'stm', 'we', 'conclude', 'by', 'summarising', 'recent', 'successes', 'of', 'this', 'approach', 'and', 'discuss', 'open', 'problems', 'that', 'need', 'to', 'be', 'solved', 'for', 'a', 'consistent', 'and', 'complete', 'description', 'of', 'high', 'temperature', 'superconductivity', 'using', 'gutzwiller', 'projected', 'wave', 'functions']] | [-0.08474717317296872, 0.15759939526400385, -0.114518767183957, 0.12554887782630791, -0.034312380751269675, -0.12906432835873038, 0.11617204704135287, 0.41252322474287617, -0.22567320079542696, -0.26936726572199, 0.0031499607656668457, -0.3168717431909745, -0.14892016163514835, 0.17345456299529086, 0.02208298792885173, 0.06961597784538753, 0.09217816184733123, -0.11931422859844235, -0.20217864704318345, -0.23735658842737653, 0.28699405600745526, 0.061877739700047105, 0.28389226291365627, 0.12859307528318217, 0.06650594546873537, 0.11341722958189036, -0.0038540545474028305, 0.06322430377633917, -0.22045026878174487, 0.13553876567046189, 0.27278500705558273, 0.060339841537088865, 0.24703311865469293, -0.4765648176036184, -0.24524979261563173, -0.07320803624858695, 0.1306943398205534, 0.18175338152500373, -0.05647825421894797, -0.33277256936130545, -0.021286172770141137, -0.19676010688907275, -0.21903697267499944, -0.1814339179841299, -0.04632115567616734, -2.7325878378062966e-05, -0.18464687982636932, 0.12287930034781022, -0.0629431785838235, 0.12514026821517046, -0.09084271661482662, -0.16233577014091202, 0.001836223027942377, -0.014435117177310445, 0.023124635410827717, 0.1576019124763589, 0.08025070878913597, -0.10572909975298754, -0.1755767813033705, 0.2867144269366113, -0.08492061446258237, -0.06823593499691, 0.17358128981394988, -0.1449346052471637, -0.13652738073234638, 0.11070049623958766, 0.05894753624064227, 0.1312799317437032, -0.1510776730165595, 0.09957000285263233, -0.005919033661022753, 0.13506809784199245, 0.007620424327869264, 0.072223024012702, 0.2029445285628003, 0.1779736911860435, 0.009890262917098071, 0.07614265599875666, -0.12447516270358824, -0.11782602996875842, -0.2687043315834469, -0.13125649046537186, -0.2181950893681792, 0.059057123364745785, -0.0302793953692705, -0.14262281059627496, 0.35835443232725894, 0.20693609181658498, 0.154815129163335, 0.0006460255854541348, 0.2665384809471785, 0.08928573207600811, 0.010493299727963786, 0.028851169488570166, 0.20388402089306581, 0.2220050674375324, 0.0681073702797885, -0.2778195816975471, -0.019966625754484938, 0.0803067599245835] |
707.1021 | Trigger, reconstruction and physics performances in LHCb | LHCb is one of the four major experiments that will take data at the LHC, due
to start operation in 2007. The primary aims of LHCb are to perform precision
tests of CP violation and to search for new physics in b hadron decays. About
10^12 bb pairs will be produced in LHCb per 10^7 seconds (a nominal year) in pp
collisions with a luminosity of 2x10^32 cm^-2 s^-1. A large, high-purity sample
of b hadrons, decaying in a variety of channels, will be accumulated. LHCb will
perform a detailed study of B meson mixing, precise measurements of the angles
of the unitary triangle and investigations of rare decays in b hadrons, looking
for new physics in loop-induced processes. The LHCb detector is optimised to
reach these physics goals. Here a brief description of the reconstruction
performance is given, and the sensitivities in typical channels for the study
of Bs mixing, CP violation and rare decays are summarised.
| hep-ex | lhcb is one of the four major experiments that will take data at the lhc due to start operation in 2007 the primary aims of lhcb are to perform precision tests of cp violation and to search for new physics in b hadron decays about 1012 bb pairs will be produced in lhcb per 107 seconds a nominal year in pp collisions with a luminosity of 2x1032 cm2 s1 a large highpurity sample of b hadrons decaying in a variety of channels will be accumulated lhcb will perform a detailed study of b meson mixing precise measurements of the angles of the unitary triangle and investigations of rare decays in b hadrons looking for new physics in loopinduced processes the lhcb detector is optimised to reach these physics goals here a brief description of the reconstruction performance is given and the sensitivities in typical channels for the study of bs mixing cp violation and rare decays are summarised | [['lhcb', 'is', 'one', 'of', 'the', 'four', 'major', 'experiments', 'that', 'will', 'take', 'data', 'at', 'the', 'lhc', 'due', 'to', 'start', 'operation', 'in', '2007', 'the', 'primary', 'aims', 'of', 'lhcb', 'are', 'to', 'perform', 'precision', 'tests', 'of', 'cp', 'violation', 'and', 'to', 'search', 'for', 'new', 'physics', 'in', 'b', 'hadron', 'decays', 'about', '1012', 'bb', 'pairs', 'will', 'be', 'produced', 'in', 'lhcb', 'per', '107', 'seconds', 'a', 'nominal', 'year', 'in', 'pp', 'collisions', 'with', 'a', 'luminosity', 'of', '2x1032', 'cm2', 's1', 'a', 'large', 'highpurity', 'sample', 'of', 'b', 'hadrons', 'decaying', 'in', 'a', 'variety', 'of', 'channels', 'will', 'be', 'accumulated', 'lhcb', 'will', 'perform', 'a', 'detailed', 'study', 'of', 'b', 'meson', 'mixing', 'precise', 'measurements', 'of', 'the', 'angles', 'of', 'the', 'unitary', 'triangle', 'and', 'investigations', 'of', 'rare', 'decays', 'in', 'b', 'hadrons', 'looking', 'for', 'new', 'physics', 'in', 'loopinduced', 'processes', 'the', 'lhcb', 'detector', 'is', 'optimised', 'to', 'reach', 'these', 'physics', 'goals', 'here', 'a', 'brief', 'description', 'of', 'the', 'reconstruction', 'performance', 'is', 'given', 'and', 'the', 'sensitivities', 'in', 'typical', 'channels', 'for', 'the', 'study', 'of', 'bs', 'mixing', 'cp', 'violation', 'and', 'rare', 'decays', 'are', 'summarised']] | [-0.091281147157962, 0.23795127076733433, -0.06794295957624394, 0.08861668541647282, -0.04791426383949156, -0.15603418894925544, 0.060300283908366545, 0.2840996930372748, -0.19426019568529712, -0.3062886213530091, 0.038583401101346636, -0.3614238705117656, 0.04620372030082383, 0.16973573713021092, 0.026141916136434185, 0.08448504074771382, 0.16476846956117433, -0.023156608366466398, -0.10831066375433267, -0.23424058040615783, 0.178218639420369, 0.08991586648022072, 0.18671311095026852, 0.08239553303198441, 0.005422561371233314, -0.03388101400960755, -0.08782029000429224, -0.05125032917484405, -0.11969000680683972, 0.0445201420568048, 0.2661553178072091, 0.1940238353843459, 0.1648850411683604, -0.37599809269126633, -0.05676431339410947, 0.1486506851697989, 0.12773908269179018, 0.03471721396368893, -0.06183900063433036, -0.3378481945683119, 0.12637224404400663, -0.18487550227761362, -0.10237589736080056, -0.05328721870208466, 0.05671214784460166, -0.05945083664109801, -0.33907239852602816, 0.05977047003563965, -0.06082536260519306, 0.07450854947313053, 0.05218784200599346, -0.18827265503085394, 0.04296397584596578, 0.04620798872680627, 0.06911396151673803, 0.06617054486458626, 0.17082104590409022, -0.14177942332956067, -0.18518072340778913, 0.3954562666601961, -0.03659297633935297, -0.10951264444709154, 0.20102901420853678, -0.259152216347571, -0.17357405569828763, 0.16129877975894302, 0.2808602451099248, 0.05355893768947807, -0.23895337735008024, 0.07854046629405805, -0.015948801833393547, 0.14159359278074832, 0.04225855268231487, 0.0975182866316607, 0.21994776997856702, 0.26054114747138196, 0.02782363524031236, 0.057505346304896184, -0.1252582466327055, -0.020175971332465924, -0.4243130619177901, -0.15573941106035646, -0.10645076339250972, 0.07547952023797515, 0.00019765775274968695, -0.016194786864651155, 0.3971821336352703, 0.09514814399218163, 0.2629164748919444, -0.04056193154928557, 0.26746327688112925, 0.03837843514504383, 0.04969617606087623, 0.005564589134441052, 0.32429953681846974, 0.15189745254178025, 0.16598551952621982, -0.22154251923136226, 0.019131165084022368, 0.005804615251460596] |
707.1022 | Nonlinear Evolution of the Magnetohydrodynamic Rayleigh-Taylor
Instability | We study the nonlinear evolution of the magnetic Rayleigh-Taylor instability
using three-dimensional MHD simulations. We consider the idealized case of two
inviscid, perfectly conducting fluids of constant density separated by a
contact discontinuity perpendicular to the effective gravity g, with a uniform
magnetic field B parallel to the interface. Modes parallel to the field with
wavelengths smaller than l_c = [B B/(d_h - d_l) g] are suppressed (where d_h
and d_l are the densities of the heavy and light fluids respectively), whereas
modes perpendicular to B are unaffected. We study strong fields with l_c
varying between 0.01 and 0.36 of the horizontal extent of the computational
domain. Even a weak field produces tension forces on small scales that are
significant enough to reduce shear (as measured by the distribution of the
amplitude of vorticity), which in turn reduces the mixing between fluids, and
increases the rate at which bubbles and finger are displaced from the interface
compared to the purely hydrodynamic case. For strong fields, the highly
anisotropic nature of unstable modes produces ropes and filaments. However, at
late time flow along field lines produces large scale bubbles. The kinetic and
magnetic energies transverse to gravity remain in rough equipartition and
increase as t^4 at early times. The growth deviates from this form once the
magnetic energy in the vertical field becomes larger than the energy in the
initial field. We comment on the implications of our results to Z-pinch
experiments, and a variety of astrophysical systems.
| astro-ph | we study the nonlinear evolution of the magnetic rayleightaylor instability using threedimensional mhd simulations we consider the idealized case of two inviscid perfectly conducting fluids of constant density separated by a contact discontinuity perpendicular to the effective gravity g with a uniform magnetic field b parallel to the interface modes parallel to the field with wavelengths smaller than l_c b bd_h d_l g are suppressed where d_h and d_l are the densities of the heavy and light fluids respectively whereas modes perpendicular to b are unaffected we study strong fields with l_c varying between 001 and 036 of the horizontal extent of the computational domain even a weak field produces tension forces on small scales that are significant enough to reduce shear as measured by the distribution of the amplitude of vorticity which in turn reduces the mixing between fluids and increases the rate at which bubbles and finger are displaced from the interface compared to the purely hydrodynamic case for strong fields the highly anisotropic nature of unstable modes produces ropes and filaments however at late time flow along field lines produces large scale bubbles the kinetic and magnetic energies transverse to gravity remain in rough equipartition and increase as t4 at early times the growth deviates from this form once the magnetic energy in the vertical field becomes larger than the energy in the initial field we comment on the implications of our results to zpinch experiments and a variety of astrophysical systems | [['we', 'study', 'the', 'nonlinear', 'evolution', 'of', 'the', 'magnetic', 'rayleightaylor', 'instability', 'using', 'threedimensional', 'mhd', 'simulations', 'we', 'consider', 'the', 'idealized', 'case', 'of', 'two', 'inviscid', 'perfectly', 'conducting', 'fluids', 'of', 'constant', 'density', 'separated', 'by', 'a', 'contact', 'discontinuity', 'perpendicular', 'to', 'the', 'effective', 'gravity', 'g', 'with', 'a', 'uniform', 'magnetic', 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707.1023 | Screening of a hypercritical charge in graphene | Screening of a large external charge in graphene is studied. The charge is
assumed to be displaced away or smeared over a finite region of the graphene
plane. The initial decay of the screened potential with distance is shown to
follow the 3/2 power. It gradually changes to the Coulomb law outside of a
hypercritical core whose radius is proportional to the external charge.
| cond-mat.mes-hall cond-mat.mtrl-sci | screening of a large external charge in graphene is studied the charge is assumed to be displaced away or smeared over a finite region of the graphene plane the initial decay of the screened potential with distance is shown to follow the 32 power it gradually changes to the coulomb law outside of a hypercritical core whose radius is proportional to the external charge | [['screening', 'of', 'a', 'large', 'external', 'charge', 'in', 'graphene', 'is', 'studied', 'the', 'charge', 'is', 'assumed', 'to', 'be', 'displaced', 'away', 'or', 'smeared', 'over', 'a', 'finite', 'region', 'of', 'the', 'graphene', 'plane', 'the', 'initial', 'decay', 'of', 'the', 'screened', 'potential', 'with', 'distance', 'is', 'shown', 'to', 'follow', 'the', '32', 'power', 'it', 'gradually', 'changes', 'to', 'the', 'coulomb', 'law', 'outside', 'of', 'a', 'hypercritical', 'core', 'whose', 'radius', 'is', 'proportional', 'to', 'the', 'external', 'charge']] | [-0.14232569090199831, 0.1941686377977021, -0.0657001877334551, 0.038171277272340376, -0.029033306405750636, -0.13901594971684972, 0.061616813034561346, 0.3373680055956356, -0.3011318380013108, -0.269885035144398, 0.04017135424692242, -0.32185855507850647, -0.03241339911255636, 0.11181302986733499, -0.008553452066280443, -0.028515017387690023, -0.04785960583467386, 0.06440694508637534, -0.0883430522881099, -0.19007059705836582, 0.27920635795453563, 0.08666972909122705, 0.25031381552980747, 0.10433997490326874, 0.032767344349849736, -0.008347176437382586, 0.0022387160279322416, 0.07452083693351597, -0.08221990071615437, 0.0293791430441388, 0.1571396059334802, -0.02128361232462339, 0.26258197225251934, -0.40236022367025726, -0.19336723122978583, 0.09812584568862803, 0.14881860562309157, 0.11417795034503797, -0.037323430537071545, -0.2555520850000903, 0.12544596949010156, -0.2031893680396024, -0.22829922840173822, 0.04256763553712517, 0.09991874273327994, 0.04587766341865063, -0.29160010226405575, 0.0825061991054099, 0.039045895682647824, -0.0326193364453502, -0.08589491285965778, -0.08194766167434864, -0.09456078984658234, 0.10562562205814174, 0.09645192336756736, 0.1270474449665926, 0.2626061018672772, -0.1149292663030792, 0.0035281335512991063, 0.3501472774078138, -0.018877291382523254, -0.19155448586388957, 0.16073850012617186, -0.20136275076220045, 0.027580395850236528, 0.19774392439285293, 0.11127441914868541, 0.10986150823248408, -0.14749264749116264, 0.11522293637972325, 0.0163010727501387, 0.18152335557442711, 0.07516809993830975, 0.014151459414279088, 0.27922336263145553, 0.14131369201641064, 0.08522815218748292, 0.15977552364165604, -0.11783526858198456, -0.13398565967509057, -0.28478253142384347, -0.07867180817993358, -0.23873033969175594, 0.09888493787730113, -0.06485899217659608, -0.23127855238374195, 0.37896371423130404, 0.06855134793295292, 0.2134792126926186, -0.03404116296769644, 0.2824355062912218, 0.15010438227909617, 0.17073705270740902, 0.04178808233700693, 0.2781953694175172, 0.16498495511405054, 0.11837423615179432, -0.25752087411819957, 0.017532572863274254, 0.011359040065144654] |
707.1024 | A three-dimensional deflagration model for Type Ia supernovae confronted
with observations | A simulation of the thermonuclear explosion of a Chandrasekhar-mass C+O white
dwarf, the most popular scenario of a type Ia supernova (SN Ia), is presented.
The underlying modeling is pursued in a self-consistent way, treating the
combustion wave as a turbulent deflagration using well tested methods developed
for laboratory combustion and based on the concept of `large eddy simulations'
(LES). Such consistency requires to capture the onset of the turbulent cascade
on resolved scales. This is achieved by computing the dynamical evolution on a
1024$^3$ moving grid, which resulted in the best-resolved three-dimensional SN
Ia simulation carried out thus far, reaching the limits of what can be done on
present supercomputers. Consequently, the model has no free parameters other
than the initial conditions at the onset of the explosion, and therefore it has
considerable predictive power. Our main objective is to determine to which
extent such a simulation can account for the observations of normal SNe Ia.
Guided by previous simulations with less resolution and a less sophisticated
flame model, initial conditions were chosen that yield a reasonably strong
explosion and a sufficient amount of radioactive nickel for a bright display.
We show that observables are indeed matched to a reasonable degree. In
particular, good agreement is found with the light curves of normal SNe Ia.
Moreover, the model reproduces the general features of the abundance
stratification as inferred from the analysis of spectra. This indicates that it
captures the main features of the explosion mechanism of SNe Ia. However, we
also show that even a seemingly best-choice pure deflagration model has
shortcomings that indicate the need for a different mode of nuclear burning at
late times, perhaps the transition to a detonation at low density.
| astro-ph | a simulation of the thermonuclear explosion of a chandrasekharmass co white dwarf the most popular scenario of a type ia supernova sn ia is presented the underlying modeling is pursued in a selfconsistent way treating the combustion wave as a turbulent deflagration using well tested methods developed for laboratory combustion and based on the concept of large eddy simulations les such consistency requires to capture the onset of the turbulent cascade on resolved scales this is achieved by computing the dynamical evolution on a 10243 moving grid which resulted in the bestresolved threedimensional sn ia simulation carried out thus far reaching the limits of what can be done on present supercomputers consequently the model has no free parameters other than the initial conditions at the onset of the explosion and therefore it has considerable predictive power our main objective is to determine to which extent such a simulation can account for the observations of normal sne ia guided by previous simulations with less resolution and a less sophisticated flame model initial conditions were chosen that yield a reasonably strong explosion and a sufficient amount of radioactive nickel for a bright display we show that observables are indeed matched to a reasonable degree in particular good agreement is found with the light curves of normal sne ia moreover the model reproduces the general features of the abundance stratification as inferred from the analysis of spectra this indicates that it captures the main features of the explosion mechanism of sne ia however we also show that even a seemingly bestchoice pure deflagration model has shortcomings that indicate the need for a different mode of nuclear burning at late times perhaps the transition to a detonation at low density | [['a', 'simulation', 'of', 'the', 'thermonuclear', 'explosion', 'of', 'a', 'chandrasekharmass', 'co', 'white', 'dwarf', 'the', 'most', 'popular', 'scenario', 'of', 'a', 'type', 'ia', 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707.1025 | The star trellis decoding of Reed-Solomon codes | The new method for Reed-Solomon codes decoding is introduced. The method is
based on the star trellis decoding of the binary image of Reed-Solomon codes.
| cs.IT math.IT | the new method for reedsolomon codes decoding is introduced the method is based on the star trellis decoding of the binary image of reedsolomon codes | [['the', 'new', 'method', 'for', 'reedsolomon', 'codes', 'decoding', 'is', 'introduced', 'the', 'method', 'is', 'based', 'on', 'the', 'star', 'trellis', 'decoding', 'of', 'the', 'binary', 'image', 'of', 'reedsolomon', 'codes']] | [-0.20296571224927903, -0.039589702785015106, -0.14833384349942208, 0.12643176873214543, -0.013464656695723533, -0.3455973669886589, 0.053343972265720366, 0.36783184558153154, -0.3164280274510384, -0.21072523348033428, 0.12468189105391503, -0.19802214875817298, -0.22417877078056336, 0.2170881237834692, -0.20994504302740097, 0.19373687237501144, 0.1408451436460018, 0.05490097291767597, -0.2435497134923935, -0.4553580705076456, 0.32698451846837995, 0.32657941833138465, 0.23105346113443376, -0.06700266428291797, 0.09636538804508746, 0.052433262690901754, -0.04791695537045598, -0.16852876037359238, -0.14973392475396394, 0.13014405585825442, 0.2508009621500969, 0.3485972004942596, 0.11447756169363857, -0.2481663229316473, -0.2693177379667759, -0.03094649560749531, 0.18734842270612717, 0.2642373576760292, -0.11373433316592127, -0.21681232171598822, 0.19827597677707673, -0.25140298910439013, 0.16181194841861724, 0.0796778792142868, -0.08545622125267982, 0.027935555428266524, -0.27790956929326055, -0.06817457878962159, 0.1115143471211195, 0.0770547028630972, -0.0737890961393714, -0.1534571912884712, 0.11177913893014192, 0.012685172948986292, -0.023165188748389482, 0.149945754930377, 0.0042106169462203975, 0.003259210139513016, -0.19128679521381856, 0.392233107984066, 0.06803198240697383, -0.21537612810730933, 0.048139726081863045, 0.020534965209662914, -0.09345627322793007, 0.23176881723105908, 0.31047261141240595, 0.1973800167441368, -0.08179546819999814, 0.07783629734069109, -0.040969717502594, 0.18255095511674882, 0.08010629631578922, 0.12106966549530625, 0.1661089539527893, 0.16133872747421266, -0.03972635857760906, 0.25109696984291074, -0.25015061291866003, -0.03918623581528664, -0.18549756683409213, -0.1324711735546589, -0.28204830616712573, -0.10305020086467266, -0.20618931660428644, -0.2190029203891754, 0.4014211419224739, 0.08558115065097809, 0.042173825353384015, 0.16972036860883236, 0.30568788011558357, -0.0179437955096364, 0.22785757668316364, 0.2325204335525632, 0.14313752338290214, 0.2746126125007868, -0.05186445942148566, -0.259062789529562, 0.08671047981828452, 0.3070330367423594] |
707.1026 | The Status of CMS | After a brief overview of the Compact Muon Solenoid (CMS) experiment, the
status of construction, installation and commissioning is described. Very good
progress has been achieved in the past year. Though many significant challenges
still lie ahead, CMS should be ready for recording data from first collisions
in the Large Hadron Collider (LHC) accelerator complex at CERN
| physics.ins-det | after a brief overview of the compact muon solenoid cms experiment the status of construction installation and commissioning is described very good progress has been achieved in the past year though many significant challenges still lie ahead cms should be ready for recording data from first collisions in the large hadron collider lhc accelerator complex at cern | [['after', 'a', 'brief', 'overview', 'of', 'the', 'compact', 'muon', 'solenoid', 'cms', 'experiment', 'the', 'status', 'of', 'construction', 'installation', 'and', 'commissioning', 'is', 'described', 'very', 'good', 'progress', 'has', 'been', 'achieved', 'in', 'the', 'past', 'year', 'though', 'many', 'significant', 'challenges', 'still', 'lie', 'ahead', 'cms', 'should', 'be', 'ready', 'for', 'recording', 'data', 'from', 'first', 'collisions', 'in', 'the', 'large', 'hadron', 'collider', 'lhc', 'accelerator', 'complex', 'at', 'cern']] | [-0.06514147172371547, 0.1932595957299335, -0.09618425288384683, 0.06789184358224207, -0.11423996992801365, -0.15637506527434053, -0.10346141655259487, 0.3696651285220134, -0.16310953103790157, -0.34472323493345786, 0.15409667495425725, -0.3057453168654128, 0.04747326136158224, 0.2886819423160009, -0.040344308130443096, 0.13274266613287883, 0.268512428313363, -0.009149133407494478, -0.09574662033762586, -0.31380387614562844, 0.17987516577960105, 0.23231172267543643, 0.26217253388542877, 0.12479522721351761, 0.1429041133797319, -0.013044316174560472, -0.07132738892381128, -0.05948295216933873, -0.01668775530956816, 0.03507030335522518, 0.40883611711232287, 0.14130799643891423, 0.2064795139196672, -0.4976471592917254, -0.060129998034793526, 0.10377353094844964, 0.11959707505363774, 0.058041974902153015, -0.16650367650742592, -0.3139905953093579, 0.1094945932395364, -0.2904748225976762, -0.17504979892258057, -0.002778875004304083, 0.05779487225472143, -0.0631529244965988, -0.19097066492765424, -0.05710721457899924, -0.051009332303676685, 0.18187699362374188, -0.0005395521262758656, -0.2120222668898733, 0.0650586488068496, 0.029352470734074973, 0.058371576084346885, 0.12401877089583299, 0.15115352246191419, -0.17831462092509723, -0.17738980410228433, 0.30526854498148487, 0.015413629577348107, -0.00765639092985606, 0.17647131623316295, -0.2780598176381828, -0.21236400756364068, 0.15948137987339706, 0.2586905994501553, -0.017618082463741302, -0.2533709773009545, 0.1219362424056734, 0.019220140043711455, 0.1265838351427463, 0.08110495065257214, -0.0017519885053237279, 0.2985897502829239, 0.36162933756254223, 0.04579833933262547, 0.04889368276283341, -0.06804846407714904, -0.06570688519104008, -0.4836337727151419, -0.09259408064188615, -0.1164288860827423, 0.01868021627683846, 0.08891240793322172, 0.012245220940952239, 0.3806900654167852, 0.0966754502028619, 0.2348862570759497, -0.08091257943918831, 0.3374687182275872, -0.04109560731357258, 0.09818557541860316, 0.024522687970985363, 0.29487171456250444, 0.08016108033623089, 0.2738742856145428, -0.15606872486195675, 0.054512833040861186, 0.020129621584425893] |
707.1027 | Re-visiting the relations: Galactic thin disc age-velocity dispersion
relation | The velocity dispersion of stars in the solar neighbourhood thin disc
increases with time after star formation. Nordstrom et al. (2004) is the most
recent observational attempt to constrain the age-velocity dispersion relation.
They fitted the age-velocity dispersion relations of each Galactic cardinal
direction space velocity component, U (towards the Galactic centre), V (in the
direction of Galactic rotation) and W (towards the North Galactic Pole), with
power laws and interpreted these as evidence for continuous heating of the disc
in all directions throughout its lifetime. We re-visit these relations with
their data and use Famaey et al. (2005) to show that structure in the local
velocity distribution function distorts the in-plane (U and V) velocity
distributions away from Gaussian so that a dispersion is not an adequate
parametrization of their functions. The age-sigma(W) relation can however be
constrained because the sample is well phase-mixed vertically. We do not find
any local signature of the stellar warp in the Galactic disc. Vertical disc
heating does not saturate at an early stage. Our new result is that a power law
is not required by the data: disc heating models that saturate after ~ 4.5 Gyr
are equally consistent with observations.
| astro-ph | the velocity dispersion of stars in the solar neighbourhood thin disc increases with time after star formation nordstrom et al 2004 is the most recent observational attempt to constrain the agevelocity dispersion relation they fitted the agevelocity dispersion relations of each galactic cardinal direction space velocity component u towards the galactic centre v in the direction of galactic rotation and w towards the north galactic pole with power laws and interpreted these as evidence for continuous heating of the disc in all directions throughout its lifetime we revisit these relations with their data and use famaey et al 2005 to show that structure in the local velocity distribution function distorts the inplane u and v velocity distributions away from gaussian so that a dispersion is not an adequate parametrization of their functions the agesigmaw relation can however be constrained because the sample is well phasemixed vertically we do not find any local signature of the stellar warp in the galactic disc vertical disc heating does not saturate at an early stage our new result is that a power law is not required by the data disc heating models that saturate after 45 gyr are equally consistent with observations | [['the', 'velocity', 'dispersion', 'of', 'stars', 'in', 'the', 'solar', 'neighbourhood', 'thin', 'disc', 'increases', 'with', 'time', 'after', 'star', 'formation', 'nordstrom', 'et', 'al', '2004', 'is', 'the', 'most', 'recent', 'observational', 'attempt', 'to', 'constrain', 'the', 'agevelocity', 'dispersion', 'relation', 'they', 'fitted', 'the', 'agevelocity', 'dispersion', 'relations', 'of', 'each', 'galactic', 'cardinal', 'direction', 'space', 'velocity', 'component', 'u', 'towards', 'the', 'galactic', 'centre', 'v', 'in', 'the', 'direction', 'of', 'galactic', 'rotation', 'and', 'w', 'towards', 'the', 'north', 'galactic', 'pole', 'with', 'power', 'laws', 'and', 'interpreted', 'these', 'as', 'evidence', 'for', 'continuous', 'heating', 'of', 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'after', '45', 'gyr', 'are', 'equally', 'consistent', 'with', 'observations']] | [-0.08081894117197126, 0.1287400189866631, -0.08375026128458114, 0.05718426907560339, -0.14107143552028362, -0.04809715018045101, 0.035724948338223476, 0.41295739435378065, -0.2714146780881908, -0.3241090286750025, 0.030664702403467848, -0.26415409343030544, -0.05071554925271456, 0.2082493982672559, -0.05474029440926001, -0.009891037055974362, 0.006404181240306136, -0.06677847903288031, -0.03177482834520755, -0.2403394001179143, 0.28409451317174483, 0.0881333801715734, 0.20526652928674594, -0.03947204039644847, 0.04846814320999467, -0.056121337118790235, -0.06156107029040831, 0.002598130576599739, -0.1663242130628066, 0.01632797304625968, 0.1932300959135854, 0.12194450223714416, 0.22604431986198925, -0.39409756999406553, -0.2229034348915752, 0.07194839764462056, 0.19240922789588136, 0.0664175225854355, -0.047812152681706785, -0.21465684015180936, 0.041379289888761474, -0.16182221057422952, 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0.2636951461840932, 0.06447071700267078, 0.2883945572672194, 0.11542279263166474, 0.09342432534617613, 0.19275697328618296, 0.32776875830335817, 0.1678794972884568, 0.11014372993594208, -0.240159154062391, 0.10584568139697487, 0.004594725982148938] |
707.1028 | Minimal Length Uncertainty Relations and New Shape Invariant Models | This paper identifies a new class of shape invariant models. These models are
based on extensions of conventional quantum mechanics that satisfy a
string-motivated minimal length uncertainty relation. An important feature of
our construction is the pairing of operators that are not adjoints of each
other. The results in this paper thus show the broader applicability of shape
invariance to exactly solvable systems.
| quant-ph hep-th physics.atom-ph | this paper identifies a new class of shape invariant models these models are based on extensions of conventional quantum mechanics that satisfy a stringmotivated minimal length uncertainty relation an important feature of our construction is the pairing of operators that are not adjoints of each other the results in this paper thus show the broader applicability of shape invariance to exactly solvable systems | [['this', 'paper', 'identifies', 'a', 'new', 'class', 'of', 'shape', 'invariant', 'models', 'these', 'models', 'are', 'based', 'on', 'extensions', 'of', 'conventional', 'quantum', 'mechanics', 'that', 'satisfy', 'a', 'stringmotivated', 'minimal', 'length', 'uncertainty', 'relation', 'an', 'important', 'feature', 'of', 'our', 'construction', 'is', 'the', 'pairing', 'of', 'operators', 'that', 'are', 'not', 'adjoints', 'of', 'each', 'other', 'the', 'results', 'in', 'this', 'paper', 'thus', 'show', 'the', 'broader', 'applicability', 'of', 'shape', 'invariance', 'to', 'exactly', 'solvable', 'systems']] | [-0.09786809637906059, 0.11292498482096504, -0.08122624053678934, 0.09447636673899575, -0.10410311658837137, -0.1641392611440212, -0.0421187077752418, 0.34692436723511605, -0.28252580900868723, -0.24649454416736724, 0.07198431202587449, -0.23270657345179527, -0.1888866506457802, 0.21953516823077013, -0.10600652415601033, 0.0635184816986559, 0.041166782408716185, 0.04922876025121364, -0.1293963431824176, -0.23469236855291659, 0.3678875643582571, 0.02758318372625148, 0.2924190940601485, 0.05926697819478928, 0.06666711039308991, -0.01239146449647489, 0.00913468606415249, 0.013781786386278413, -0.12026416323455383, 0.196240938723176, 0.24700243203932631, 0.1172856770914107, 0.22718775491156276, -0.36179770273156464, -0.24424819850375773, 0.13733839570352482, 0.1329203179283511, 0.1075178955252918, -0.015590277886653821, -0.26295791071144836, 0.09184860740418709, -0.18147088526304633, -0.13645004389053655, -0.08230806417053654, 0.008205568619323747, 0.002895399662000792, -0.2082853037420483, 0.06029619439135468, 0.15840138212615062, 0.05945448917889966, -0.05958461623993658, -0.08366553325738225, 0.015008507780582896, 0.08987806554854152, 0.02697193739004433, -0.034218285535831776, 0.10008830763399601, -0.12545913675179085, -0.16105079151216953, 0.40954697211938246, -0.006475204764495766, -0.2443922030488177, 0.18167198298957257, -0.07956950011707488, -0.2213063749174277, 0.06542323683832019, 0.13750083531652177, 0.1263730088396678, -0.1542463991199694, 0.13573441594573005, -0.11110009550161305, 0.1623913919819253, 0.002144683622718153, 0.07596162575045748, 0.20010931038534238, 0.12626738937216855, 0.06615480921039033, 0.11199363697013477, 0.004178491631700169, -0.1394905789925288, -0.39296701420394203, -0.15301470682145066, -0.13651036461889152, 0.009207503984928027, -0.057135055920789164, -0.16814798154611332, 0.4343869364450848, 0.217968473477023, 0.20449568603246931, 0.11643559769135974, 0.24698587268635275, 0.11706155556483223, 0.10666364820171444, 0.02083443199092197, 0.2032473017313769, 0.10565217093024994, 0.0027811560735461257, -0.20026761776072874, 0.030877009359380557, 0.1062459926682687] |
707.1029 | Systematic approximations for the period of a finite amplitude pendulum | The standard series expansion for the period of a finite amplitude pendulum
as a function of energy (and hence amplitude) provides a lower limit on the
period when the series is truncated. An adjustment to the last term in the
truncated series to take account of the dropped terms improves the accuracy of
the approximation and provides an upper limit on the period. More accurate
approximations can then be obtained using intermediate expressions.
| physics.class-ph | the standard series expansion for the period of a finite amplitude pendulum as a function of energy and hence amplitude provides a lower limit on the period when the series is truncated an adjustment to the last term in the truncated series to take account of the dropped terms improves the accuracy of the approximation and provides an upper limit on the period more accurate approximations can then be obtained using intermediate expressions | [['the', 'standard', 'series', 'expansion', 'for', 'the', 'period', 'of', 'a', 'finite', 'amplitude', 'pendulum', 'as', 'a', 'function', 'of', 'energy', 'and', 'hence', 'amplitude', 'provides', 'a', 'lower', 'limit', 'on', 'the', 'period', 'when', 'the', 'series', 'is', 'truncated', 'an', 'adjustment', 'to', 'the', 'last', 'term', 'in', 'the', 'truncated', 'series', 'to', 'take', 'account', 'of', 'the', 'dropped', 'terms', 'improves', 'the', 'accuracy', 'of', 'the', 'approximation', 'and', 'provides', 'an', 'upper', 'limit', 'on', 'the', 'period', 'more', 'accurate', 'approximations', 'can', 'then', 'be', 'obtained', 'using', 'intermediate', 'expressions']] | [-0.1233542729472129, 0.06924575321377918, -0.14719460836981665, 0.06959779294724384, -0.04847599277655556, -0.03327388896236885, 0.09536229118653765, 0.30541723217713096, -0.24208362056069996, -0.27792806623580113, 0.14268832207714807, -0.22620937040343575, -0.0840163777442011, 0.2700727178957568, -0.03706825427608947, 0.0027271723183356737, 0.07622149801009322, 0.09239104776707006, -0.11606848887359239, -0.2733170921876006, 0.21837324585306317, 0.09632434352773102, 0.23769889654566165, 0.029633085843022555, 0.11969786955120221, 0.03894172412700543, -0.003130760528258852, -0.03278855285415911, -0.10941025734024301, 0.11468333966570766, 0.16914077748365905, 0.04412981903512184, 0.26970441391921207, -0.4357815055457288, -0.18381269990581356, 0.07019974438119553, 0.17375671390239913, 0.09232218026451461, 0.06264445577865332, -0.22930772746721767, 0.06159405406940831, -0.22441966038146247, -0.13651156994475894, -0.09142592901440516, 0.05834220342452906, 0.0040492752490386575, -0.34085027656632744, 0.10435356023364177, 0.05298841856930354, 0.04281622294794245, -0.08425119701670865, -0.1210901415460322, 0.03550304587267033, 0.1687674961002601, 0.06541694022957491, 0.03203725043607697, 0.045274524225483406, -0.1101563411815832, -0.048043601361600914, 0.361609641334986, -0.17042991766157523, -0.19595843765323293, 0.0987326598483814, -0.14905409613139417, -0.06438573188314291, 0.15009648830004751, 0.15710867811249543, 0.09901580373335579, -0.0974499907654356, 0.09538925711977717, 0.009490425003156678, 0.1908201738962368, 0.11929625368753627, -0.008939029380985319, 0.18668022210875604, 0.16321521271211542, 0.06848959786791915, 0.14577003482773848, -0.10205467590067076, -0.09250248038554437, -0.32100059821793475, -0.09818301344914712, -0.16587540084394078, 0.014484761461411437, -0.136995359986928, -0.1962100072853165, 0.4108575314334402, 0.07112964290538676, 0.22973645710679766, 0.11118979966395522, 0.3029317273822141, 0.274536222740944, 0.03159855693807564, 0.04063439665183629, 0.23478387256012592, 0.11107435112193942, 0.07846236905108576, -0.19079934317644123, 0.08008846049898699, 0.11817209390693739] |
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