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We consider the d-dimensional imperfect (mean-field) Bose gas confined in a slit-like geometry and subject to periodic boundary conditions. Within an exact analytical treatment we first extract the bulk critical properties of the system at…

Statistical Mechanics · Physics 2015-06-16 M. Napiorkowski , P. Jakubczyk , K. Nowak

Some properties of an ideal gas of massive bosons in a mean field potential and, confined between two infinite parallel slabs in a d-dimensional configuration space are investigated systematically. Here, one particle density of states…

Statistical Mechanics · Physics 2015-07-03 G. M. Bhuiyan

We analyze the Casimir forces for an ideal Bose gas enclosed between two infinite parallel walls separated by the distance D. The walls are characterized by the Dirichlet boundary conditions. We show that if the thermodynamic state with…

Statistical Mechanics · Physics 2020-08-26 M. Napiorkowski , J. Piasecki , J. W. Turner

We present a study of the Casimir effect in an imperfect (mean-field) Bose gas contained between two infinite parallel plane walls. The derivation of the Casimir force follows from the calculation of the excess grand canonical free energy…

Statistical Mechanics · Physics 2015-06-03 Marek Napiorkowski , Jaroslaw Piasecki

The Casimir effect of an ideal Bose gas trapped in a generic power-law potential and confined between two slabs with Dirichlet, Neumann, and periodic boundary conditions is investigated systematically, based on the grand potential of the…

Statistical Mechanics · Physics 2015-06-11 Tongling Lin , Guozhen Su , Qiuping A. Wang , Jincan Chen

We show various aspects of finite size effects on Bose-Einstein condensation(BEC). In the first section we introduce very briefly the BEC of harmonically trapped ideal Bose gas. In the second section we theoretically argued that…

Statistical Mechanics · Physics 2008-07-18 Shyamal Biswas

We rigorously discuss the large-$N$ thermodynamics of a Bose gas with a short-range two-body potential. Considering the system as a mixture of $N$ identical components with symmetrical interaction we calculated numerically the temperature…

Quantum Gases · Physics 2018-12-26 Orest Hryhorchak , Volodymyr Pastukhov

In the thermodynamic limit the ratio of system size to thermal de Broglie wavelength tends to infinity and the volume per particle of the system is constant. Our familiar Bose-Einstein statistics is absolutely valid in the thermodynamic…

Statistical Mechanics · Physics 2009-11-19 Shyamal Biswas

The Casimir force due to {\it thermal} fluctuations (or pseudo-Casimir force) was previously calculated for the perfect Bose gas in the slab geometry for various boundary conditions. The Casimir pressure due to {\it quantum} fluctuations in…

High Energy Physics - Theory · Physics 2011-02-16 Ariel Edery

We study the Bose-Einstein condensation for a 3-d system of ideal Bose gas which is harmonically trapped along two perpendicular directions and is confined in between two slabs along the other perpendicular direction. We calculate the…

Statistical Mechanics · Physics 2007-05-23 Shyamal Biswas

We study the Casimir effect for a 3-d system of ideal Bose gas in a slab geometry with Dirichlet boundary condition. We calculate the temperature($T$) dependence of the Casimir force below and above the Bose-Einstein condensation…

Statistical Mechanics · Physics 2009-11-19 Shyamal Biswas

We study the nonequilibrium growth of a weakly interacting homogeneous Bose gas after a quench from a high-temperature state to a temperature below the Bose-Einstein critical condensation temperature. We quantitatively characterize the…

Soft Condensed Matter · Physics 2009-11-07 Daniel G. Barci , Eduardo S. Fraga , Marcelo Gleiser , Rudnei O. Ramos

The critical properties displayed by an ideal 2D Bose gas trapped in a harmonic potential are determined and characterized in an exact numerical fashion. Beyond thermodynamics, addressed in terms of the global pressure and volume which are…

Quantum Gases · Physics 2023-08-10 M. I. Morales-Amador , V. Romero-Rochin , R. Paredes

We explore the far-from-equilibrium dynamics of Bose gases in a universal regime associated to nonthermal fixed points. While previous investigations concentrated on scaling functions and exponents describing equal-time correlations, we…

Quantum Gases · Physics 2017-05-10 A. Schachner , A. Piñeiro Orioli , J. Berges

We develop a practical theoretical formalism for studying the critical properties of a trapped Bose-Einstein condensate using the projected Gross-Pitaevskii equation. We show that this approach allows us investigate the behavior of the…

Statistical Mechanics · Physics 2009-03-31 A. Bezett , P. B. Blakie

We exactly calculate the full temperature dependence of Casimir-like forces appearing between two and three static impurities loaded in the ideal Bose gas below the Bose-Einstein condensation transition point. Assuming the short-ranged…

Quantum Gases · Physics 2020-09-09 G. Panochko , V. Pastukhov

We consider the Bose-Einstein condensation (BEC) in a relativistic pion gas. The thermodynamic limit when the system volume $V$ goes to infinity as well as the role of finite size effects are studied. At $V\to \infty$ the scaled variance…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. V. Begun , M. I. Gorenstein

There are two length-scales present simultaneously in all the principal directions for three-dimensionally expanding, finite systems. These are discussed in detail for the case of a longitudinally expanding system with a transverse flow and…

High Energy Physics - Phenomenology · Physics 2009-10-28 T. Csorgo , B. Lorstad

In this study, we have derived close form of the Casimir force for the non-interacting ideal Bose gas between two slabs in harmonic-optical lattice potential by using Ketterle and van Druten approximation. We find that Bose-Einstein…

Quantum Physics · Physics 2015-04-07 Ekrem Aydiner

We study the properties of a dilute Bose condensed gas at zero temperature in the presence of a strong random potential with arbitrary correlation length. Starting from the underlying Gross-Pitaevskii equation, we use the random phase…

Disordered Systems and Neural Networks · Physics 2015-06-25 Patrick Navez , Axel Pelster , Robert Graham
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