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On the Bose–Einstein distribution and Bose condensation

by V. P. Maslov, V. E. Nazaikinskii , 812
"... Abstract. For a system of identical Bose particles sitting on integer energy levels, we give sharp estimates for the convergence of the sequence of occupation numbers to the Bose–Einstein distribution and for the Bose condensation effect. ..."
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Abstract. For a system of identical Bose particles sitting on integer energy levels, we give sharp estimates for the convergence of the sequence of occupation numbers to the Bose–Einstein distribution and for the Bose condensation effect.

Breakdown of Bose-Einstein distribution in photonic crystals

by Ping-yuan Lo, Heng-na Xiong, Wei-min Zhang
"... In the last two decades, considerable advances have been made in the investigation of nano-photonics in photonic crystals. Previous theoretical investigations of photon dynamics were carried out at zero temperature. Here, we investigate micro/nano cavity photonics in photonic crystals at finite temp ..."
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temperature. Due to photonic-band-gap-induced non-Markovian dynamics, we discover that cavity photons in photonic crystals do not obey the standard Bose-Einstein statistical distribution. Within the photonic band gap and in the vicinity of the band edge, cavity photons combine nontrivial quantum dissipation

unknown title

by G. A. Kozlov , 2001
"... The Bose-Einstein distribution functions and the multiparticle production at high energies ..."
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The Bose-Einstein distribution functions and the multiparticle production at high energies

DOI: 10.1140/epjd/e2003-00323-2 THE EUROPEAN PHYSICAL JOURNAL D

by A. Mosseta, F. Devaux, G. Fanjoux, E. Lantz
"... Direct experimental characterization of the Bose-Einstein distribution of spatial fluctuations of spontaneous parametric down-conversion ..."
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Direct experimental characterization of the Bose-Einstein distribution of spatial fluctuations of spontaneous parametric down-conversion

Finite time blow up in Kaniadakis-Quarati model of Bose-Einstein particles

by unknown authors , 2010
"... We study a Fokker-Planck equation with linear diffusion and super-linear drift introduced by Kaniadakis and Quarati [11, 12] to describe the evolution of a gas of Bose-Einstein particles. For kinetic equation of this type it is well-known that, in the physical space R 3, the structure of the equilib ..."
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of the equilibrium Bose-Einstein distribution depends upon a parameter m ∗ , the critical mass. We are able to describe the time-evolution of the solution in two different situations, which correspond to m ≪ m ∗ and m ≫ m ∗ respectively. In the former case, it is shown that the solution remains regular, while

Bose-Einstein versus Maxwell-Boltzmann distributions

by Peter Enders
"... The reply by Sands & Dunning-Davies [3] to my paper [1] is acknowledged concerning the distribution functions. Keywords: Maxwell-Boltzmann distribution, Bose-Einstein distribution, classical ensembles, state functions In my paper ‘Are there physical systems obeying the Maxwell-Boltzmann statisti ..."
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The reply by Sands & Dunning-Davies [3] to my paper [1] is acknowledged concerning the distribution functions. Keywords: Maxwell-Boltzmann distribution, Bose-Einstein distribution, classical ensembles, state functions In my paper ‘Are there physical systems obeying the Maxwell

Bose-Einstein Condensation in a Gas of Sodium Atoms

by K B Davis , M.-O Mewes , M R Andrews , N J Van Druten , D S Durfee , D M Kurn , W Ketterle , 1995
"... We have observed Bose-Einstein condensation of sodium atoms. The atoms were trapped in a novel trap that employed both magnetic and optical forces. Evaporative cooling increased the phase-space density by 6 orders of magnitude within seven seconds. Condensates contained up to 5 3 10 5 atoms at dens ..."
Abstract - Cited by 282 (6 self) - Add to MetaCart
We have observed Bose-Einstein condensation of sodium atoms. The atoms were trapped in a novel trap that employed both magnetic and optical forces. Evaporative cooling increased the phase-space density by 6 orders of magnitude within seven seconds. Condensates contained up to 5 3 10 5 atoms

Observation of Bose-Einstein condensation in a dilute atomic vapor

by M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, E. A. Cornell - Science , 1995
"... A Bose-Einstein condensate was produced in a vapor of rubidium-87 atoms that was confined by magnetic fields and evaporatively cooled. The condensate fraction first appeared near a temperature of 170 nanokelvin and a number density of 2.5 x 1012 per cubic centimeter and could be preserved for more t ..."
Abstract - Cited by 354 (7 self) - Add to MetaCart
than 15 seconds. Three primary signatures of Bose-Einstein condensation were seen. (i) On top of a broad thermal velocity distribution, a narrow peak appeared that was centered at zero velocity. (ii) The fraction of the atoms that were in this low-velocity peak increased abruptly as the sample

Contents

by Wu-sheng Dai, Mi Xie , 906
"... Abstract: It is a common impression that by only setting the maximum occupation number to infinity, which is the demand of the indistinguishability of bosons, one can achieve the statistical distribution that bosons obey — the Bose-Einstein distribution. In this letter, however, we show that only wi ..."
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Abstract: It is a common impression that by only setting the maximum occupation number to infinity, which is the demand of the indistinguishability of bosons, one can achieve the statistical distribution that bosons obey — the Bose-Einstein distribution. In this letter, however, we show that only

Quantum kinetic theory: modeling and numerics for Bose-Einstein condensation

by Weizhu Bao, Lorenzo Pareschi, Peter A. Markowich - in “Modeling and Computational Methods for Kinetic Equations” (Birkhäuser Series: Modeling and Simulation in Science, Engineering and Technology , 2004
"... Summary. We review some modelling and numerical aspects in quantum kinetic theory for a gas of interacting bosons and we try to explain what makes Bose-Einstein condensation in a dilute gas mathematically interesting and numerically challenging. Particular care is devoted to the development of effic ..."
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of efficient numerical schemes for the quantum Boltzmann equation that preserve the main physical features of the contin-uous problem, namely conservation of mass and energy, the entropy inequality and generalized Bose-Einstein distributions as steady states. These properties are essen-tial in order to develop
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