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The classical Kramers problem of the kinetic theory is analytically solved. The Kramers problem about isothermal sliding for quantum Fermi gases is considered. Quantum gases with the velocity-dependent collision frequency are considered.…

数学物理 · 物理学 2012-01-05 A. Yu. Kvashnin , A. V. Latyshev , A. A. Yushkanov

We present an alternative method for determining the sound velocity in atomic Bose-Einstein condensates, based on thermodynamic global variables. The total number of trapped atoms was as a function of temperature carefully studied across…

The classical Kramers problem of the kinetic theory is solved. The Kramers problem about isothermal sliding for quantum Fermi gases is considered. Quantum gases with the velocity - dependent collision frequency are considered. Specular -…

数学物理 · 物理学 2015-03-19 A. Yu. Kvashnin , A. V. Latyshev , A. A. Yushkanov

We discuss the phenomenon of Bose-Einstein condensation under general external conditions using connections between partition sums and the heat-equation. Thermodynamical quantities like the critical temperature are given in terms of the…

统计力学 · 物理学 2009-10-31 Klaus Kirsten , David J. Toms

Sympathetic cooling of an atomic Fermi gas by a Bose gas is studied by solution of the coupled quantum Boltzmann equations for the confined gas mixture. Results for equilibrium temperatures and relaxation dynamics are presented, and some…

量子物理 · 物理学 2009-10-31 W. Geist , L. You , T. A. B. Kennedy

We study both Bose and Fermi gases at finite temperature and density in an approximation that sums an infinite number of many body processes that are reducible to 2-body scatterings. This is done for arbitrary negative scattering length,…

量子气体 · 物理学 2013-05-30 Andre LeClair , Edgar Marcelino , Andre Nicolai , Itzhak Roditi

We present a kinetic description of Bose-Einstein condensation for particle systems being out of thermal equilibrium, which may happen for gluons produced in the early stage of ultra-relativistic heavy-ion collisions. The dynamics of bosons…

高能物理 - 唯象学 · 物理学 2017-08-02 Kai Zhou , Zhe Xu , Pengfei Zhuang , Carsten Greiner

We construct a kinetic equation simulating the behavior of degenerate quantum Bose gases with the collision rate proportional to the molecule velocity. We obtain an analytic solution of the half--space boundary--value Smoluchowski problem…

数学物理 · 物理学 2010-01-05 A. V. Latyshev , A. A. Yushkanov

A master equation with a Lindblad structure is derived, which describes the interaction of a test particle with a macroscopic system and is expressed in terms of the operator valued dynamic structure factor of the system. In the case of a…

量子物理 · 物理学 2009-11-06 Bassano Vacchini

A model kinetic equation is constructed for the transport of a massless Bose gas. This equation is applied to solution of the boundary value problem for the transport of radiation in the half-space occupied by a dispersive medium that is in…

数学物理 · 物理学 2010-12-15 A. V. Latyshev , A. A. Yushkanov

Vortex mass is a key concept in the study of superfluid dynamics, referring to the inertia of vortices in a superfluid, which affects their motion and behavior. Despite being an important quantity, the vortex mass has never been observed…

量子气体 · 物理学 2025-12-08 Lucas Levrouw , Hiromitsu Takeuchi , Jacques Tempere

We study the sympathetic cooling of a trapped Fermi gas interacting with an ideal Bose gas below the critical temperature of the Bose-Einstein condensation. We derive the quantum master equation, which describes the dynamics of the…

软凝聚态物质 · 物理学 2009-11-11 Z. Idziaszek , L. Santos , M. Lewenstein

We theoretically examine equilibrium properties of the harmonically trapped ideal Bose and Fermi gases in the quantum degeneracy regime. We analyze thermodynamic characteristics of gases with a finite number of atoms by means of the known…

量子气体 · 物理学 2021-12-06 Valeriia Bilokon , Elvira Bilokon , Alexander Peletminskii , Andrii Sotnikov

We theoretically investigate the effects of atom losses in the one-dimensional (1D) Bose gas with repulsive contact interactions, a famous quantum integrable system also known as the Lieb-Liniger gas. The generic case of K-body losses (K =…

量子气体 · 物理学 2020-10-07 Isabelle Bouchoule , Benjamin Doyon , Jerome Dubail

The Kramers problem for quantum Bose-gases with specular-diffuse boundary conditions of the kinetic theory is considered. On an example of Kramers' problem the new generalized method of a source of the decision of the boundary problems from…

数学物理 · 物理学 2012-12-07 E. A. Bedrikova , A. V. Latyshev

In this article, we show that a quantum gas, a collection of massive, non-interacting, indistinguishable quantum particles can be realized as a thermodynamic machine as an artifact of energy quantization and hence bears no classical analog.…

量子物理 · 物理学 2023-04-19 Saikat Sur , Arnab Ghosh

The existence of global solutions for a system of differential equations is proved, and some of their properties are described. The system involves a kinetic equation for quantum particles. It is a simplified version of a mathematical…

偏微分方程分析 · 数学 2018-03-28 Enrique Cortés , Miguel Escobedo

The center-of-mass dynamics of a vortex in the surface region of a Bose-Einstein condensate is investigated both analytically using a variational calculation and numerically by solving the time-dependent Gross-Pitaevskii equation. We find,…

统计力学 · 物理学 2009-11-10 U. Al Khawaja

We use a semiclassical two-fluid model to study the momentum distribution of a Bose-condensed gas with repulsive interactions inside a harmonic trap at finite temperature, with specific focus on atomic hydrogen. We give particular attention…

统计力学 · 物理学 2009-10-31 Anna Minguzzi , Patrizia Vignolo , Mario P. Tosi

The exact solution of the 1D interacting mixed Bose-Fermi gas is used to calculate ground-state properties both for finite systems and in the thermodynamic limit. The quasimomentum distribution, ground-state energy and generalized…

统计力学 · 物理学 2007-05-23 M. T. Batchelor , M. Bortz , X. W. Guan , N. Oelkers
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