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We study a particle immersed in a heat bath, in the presence of an external force which decays at least as rapidly as $1/x$, for example a particle interacting with a surface through a Lennard-Jones or a logarithmic potential. As time…

Statistical Mechanics · Physics 2019-01-09 Erez Aghion , David A. Kessler , Eli Barkai

The atom fluctuations statistics of an ideal, mesoscopic, Bose-Einstein condensate is investigated from several different perspectives. By generalizing the grand canonical analysis (applied to the canonical ensemble problem), we obtain a…

Other Condensed Matter · Physics 2007-05-23 Andrew N. Jordan , C. H. Raymond Ooi , Anatoly A. Svidzinsky

We examine several features of Bose-Einstein condensation (BEC) in an external harmonic potential well. In the thermodynamic limit, there is a phase transition to a spatial Bose-Einstein condensed state for dimension D greater than or equal…

Condensed Matter · Physics 2016-08-31 W. J. Mullin

The non-equilibrium dynamics of integrable systems are special: there is substantial evidence that after a quantum quench they do not thermalize but their asymptotic steady state can be described by a Generalized Gibbs Ensemble (GGE). Most…

Statistical Mechanics · Physics 2013-11-27 Marton Kormos , Aditya Shashi , Yang-Zhi Chou , Jean-Sebastien Caux , Adilet Imambekov

The gaussian ensemble and its extended version theoretically play the important role of interpolating ensembles between the microcanonical and the canonical ensembles. Here, the thermodynamic properties yielded by the extended gaussian…

Statistical Mechanics · Physics 2010-06-08 Rafael B. Frigori , Leandro G. Rizzi , Nelson A. Alves

Inspired by investigations of Bose-Einstein condensates (BECs) produced in the Cold Atom Laboratory (CAL) aboard the International Space Station, we present a study of thermodynamic properties of shell-shaped BECs. Within the context of a…

The impact of interparticle correlations on the behavior of Bose-Einstein Condensates (BECs) is discussed using two approaches. In the first approach, the wavefunction of a BEC is encoded in the $N$-particle sector of an extended "catalytic…

Quantum Gases · Physics 2015-02-25 Zhang Jiang

Given physical systems, counting rule for their statistical mechanical descriptions need not be unique, in general. It is shown that this nonuniqueness leads to the existence of various canonical ensemble theories which equally arise from…

Quantum Physics · Physics 2009-10-31 Sumiyoshi Abe , A. K. Rajagopal

A great many observables seen in intermediate energy heavy ion collisions can be explained on the basis of statistical equilibrium. Calculations based on statistical equilibrium can be implemented in microcanonical ensemble (energy and…

Nuclear Theory · Physics 2009-11-10 C. B. Das , S. Das Gupta , W. G. Lynch , A. Z. Mekjian , M. B. Tsang

The theoretical description of non-equilibrium Bose--Einstein condensate (BEC) is one of the main challenges in modern statistical physics and kinetics. The non-equilibrium nature of BEC makes it impossible to employ the well-established…

Quantum Gases · Physics 2022-06-01 V. Yu. Shishkov , E. S. Andrianov , Yu. E. Lozovik

An asymptotic expansions for the grand partition function of ideal Bose gas in the canonical ensemble with arbitrary number of particles is obtained. It is shown that the expressions found are valid in the whole temperature region, the…

Superconductivity · Physics 2015-05-14 A. I. Bugrij , V. M. Loktev

A generic class of scalar active matter, characterized at the mean field level by the diffusivity vanishing above some threshold density, was recently introduced [Golestanian R 2019 Phys. Rev. E 100 010601(R)]. In the presence of harmonic…

Statistical Mechanics · Physics 2020-08-26 Benoît Mahault , Ramin Golestanian

Data on Bose-Einstein correlations yield information about the interaction regions in multiple particle production processes. The conclusions are model dependent. Several popular models are briefly presented, compared and discussed.

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Zalewski

The phenomenon of Bose-Einstein condensation is investigated in the context of the Color-Glass-Condensate description of the initial state of ultrarelativistic heavy-ion collisions. For the first time, in this paper we study the influence…

High Energy Physics - Phenomenology · Physics 2019-11-20 Richard Lenkiewicz , Alex Meistrenko , Hendrik van Hees , Kai Zhou , Zhe Xu , Carsten Greiner

We reinvestigate the Bose-Einstein condensation (BEC) thermodynamics of a weakly interacting dilute Bose gas under the action of a trap using a semiclassical two-fluid mean-field model in order to find the domain of applicability of the…

Soft Condensed Matter · Physics 2009-10-31 Sadhan K. Adhikari , A. Gammal

We consider Bose--Einstein condensation (BEC) on graphs with transient adjacency matrix and obtain a quasi-free state exhibiting BEC is non-factor and decompose into generalized coherent states. We review necessary and sufficient conditions…

Mathematical Physics · Physics 2017-07-19 Tomohiro Kanda

Bose-Einstein correlations (BEC) observed between identical bosons produced in high energy multiparticle collisions are regarded as very important tool in investigations of multiparticle production processes. We present here their…

High Energy Physics - Phenomenology · Physics 2014-11-17 O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

We obtain the thermodynamic properties for a non-interacting Bose gas constrained on multilayers modeled by a periodic Kronig-Penney delta potential in one direction and allowed to be free in the other two directions. We report…

Quantum Gases · Physics 2015-05-19 P. Salas , F. J. Sevilla , M. Fortes , M. de Llano , A. Camacho , M. A. Solís

We analyze the possible transition patterns exhibited by an effective non-relativistic field model describing interacting binary homogeneous dilute Bose gases whose overall potential is repulsive. We evaluate the temperature dependence of…

Soft Condensed Matter · Physics 2007-05-23 Marcus B. Pinto , Rudnei O. Ramos , Frederico F. de Souza Cruz

It was recently shown by Bartelmann et al. how correlated initial conditions can be introduced into the statistical field theory for classical particles pioneered by Das and Mazenko. In this paper we extend this development from the…

Statistical Mechanics · Physics 2014-12-09 Felix Fabis , Daniel Berg , Elena Kozlikin , Matthias Bartelmann
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