Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Modern Physics Letters B

BOSE–EINSTEIN CONDENSATION OF A q-DEFORMED BOSE GAS IN A RANDOM BOX

Ying Wang, Xiang-Mu Kong

Published Jan 20, 2010• 4 citations
Publisher

Abstract

The q-deformed Bose–Einstein distribution is used to study the Bose–Einstein condensation (BEC) of a q-deformed Bose gas in random box. It is shown that the BEC transition temperature is lowered due to random boundary conditions. The effects of q-deformation on the properties of the system are also discussed. We find some properties of a q-deformed Bose gas, which are different from those of an ordinary Bose gas. Similar results are also shown for q-bosons confined in a harmonic oscillator potential well.

DOI
10.1142/s0217984910022299

Related papers

The Bose–Einstein condensation in random box

Jan Karbowski, Łukasz A. Turski

The Bose–Einstein condensation in the presence of quenched disorder due to random boundary conditions is considered. We have shown that for bosons confined in a box with volume Ld and for random L the Bose condensation temperature is lowered by the presence of disorder and the onset of condensation may even be completely prohibited. Similar results hold for bosons confined in a harmonic oscillator potential well, the geometry used in recent experiments on Bose–Einstein condensation in atomic traps. Comments on possible consequences of quenched disorder in boundary conditions for many fermion systems are also given.

Physica A Statistical Mechanics and its Applications•Feb 1, 2000•4 citations

BOSE–EINSTEIN CONDENSATION OF A RELATIVISTIC IDEAL BOSE GAS IN RANDOM BOX

Hong Li, Ying Wang, Xiang-Mu Kong +1 more

Using semi-classical approximation method, the Bose–Einstein condensation (BEC) of a relativistic ideal boson gas (RIBG) in random box is studied. The exact BEC transition temperature Tc and Helmholtz free energy at Tc are derived. The phase diagrams in the (Δ, T) plane are obtained, where Δ is the fluctuation of the box length and T is the temperature of the system. We find that Tc is lowered by the presence of the quenched disorder caused by the random boundary conditions. The effects of antibosons on the RIBG are also studied and it is found that the Helmholtz free energy of the system with antibosons at Tc is lower than that of the system without antibosons. This implies that the omission of antibosons always leads to a metastable state.

Modern Physics Letters B•Apr 19, 2012•0 citations

Bose–Einstein condensation of a relativisticq-deformed Bose gas

Guozhen Su, Shukuan Cai, Jincan Chen

The q -deformed Bose–Einstein distribution derived from the q -boson algebra is used to study the low-temperature behavior of an ideal q -deformed Bose gas with relativistic energy spectrum. The effects of q -deformation on the properties relative to Bose–Einstein condensation (BEC) are discussed. It is shown that q -deformation leads to some novel characteristics different from those of an original Bose gas, which include the criteria on the occurrence of BEC, critical temperature and jump of heat capacity at the critical point. The results obtained here provide a unified description for the properties of q -deformed Bose systems from the nonrelativistic case to the ultrarelativistic limit, so that some important conclusions in the literature are included in this paper.

Journal of Physics A Mathematical and Theoretical•Jan 15, 2008•20 citations

Critical Temperature of the Bose-Einstein Condensation in Random Box

Feng Zhang

The Bose-Einstein condensation of the Bose gas is studied in a d-dimensional random box.When the length of the box L satisfies the uniform and the Gauss distributions,the critical temperature of the Bose-Einstein condensation TC is obtained respectively.Compared with that of the rigid box TRC,we find that TC is not more than TRC,and their specific relations are depended on the given distribution functions.In the same way,the condensate problem is discussed for the Bose gas confined in a potential well of harmonic-oscillator,and harmonic trap frequency is a random variable.The similar results are obtained.

Journal of Qufu Normal University•Jan 1, 2008•0 citations

Thermostatistical properties ofq-deformed bosons trapped in aD-dimensional power-law potential

Guozhen Su, Jincan Chen, Lixuan Chen

The thermostatistical properties of an ideal gas of q -deformed bosons trapped in a D -dimensional power-law potential are studied, based on the q -deformed Bose–Einstein distribution. The effects of q -deformation on the properties of the system are discussed. It is shown that q -deformed bosons ( q ≠ 1) possess many different characteristics from those of ordinary bosons, which include the condition that Bose–Einstein condensation (BEC) occurs, the critical temperature and the continuity of heat capacity.

Journal of Physics A Mathematical and General•Sep 23, 2003•22 citations

Bose–Einstein condensation in a gas of the bosonic Newton oscillators

Abdullah Algin, Emine Arslan

The multi-dimensional q -deformed bosonic Newton oscillator algebra with U ( d )-symmetry is considered. The high- and low-temperature thermostatistical properties of a gas of the q -deformed bosonic Newton oscillators are obtained in the thermodynamical limit. It is shown that the Bose–Einstein condensation occurs in such a gas for values of the real deformation parameter q smaller than 1. However, the ordinary boson gas results can be recovered in the limit q = 1.

arXiv:0810.1827•Journal of Physics A Mathematical and Theoretical•Aug 5, 2008•17 citations
The q-deformed Bose–Einstein distribution is used to study the Bose–Einstein condensation (BEC) of a q-deformed Bose gas in random box. It is shown that the BEC transition temperature is lowered due to random boundary conditions. The effects of q-deformation on the properties of the system are also discussed. We find some properties of a q-deformed Bose gas, which are different from those of an ordinary Bose gas. Similar results are also shown for q-bosons confined in a harmonic oscillator potential well.
The Bose–Einstein condensation in the presence of quenched disorder due to random boundary conditions is considered. We have shown that for bosons confined in a box with volume Ld and for random L the Bose condensation temperature is lowered by the presence of disorder and the onset of condensation may even be completely prohibited. Similar results hold for bosons confined in a harmonic oscillator potential well, the geometry used in recent experiments on Bose–Einstein condensation in atomic traps. Comments on possible consequences of quenched disorder in boundary conditions for many fermion systems are also given.
Using semi-classical approximation method, the Bose–Einstein condensation (BEC) of a relativistic ideal boson gas (RIBG) in random box is studied. The exact BEC transition temperature Tc and Helmholtz free energy at Tc are derived. The phase diagrams in the (Δ, T) plane are obtained, where Δ is the fluctuation of the box length and T is the temperature of the system. We find that Tc is lowered by the presence of the quenched disorder caused by the random boundary conditions. The effects of antibosons on the RIBG are also studied and it is found that the Helmholtz free energy of the system with antibosons at Tc is lower than that of the system without antibosons. This implies that the omission of antibosons always leads to a metastable state.
The q -deformed Bose–Einstein distribution derived from the q -boson algebra is used to study the low-temperature behavior of an ideal q -deformed Bose gas with relativistic energy spectrum. The effects of q -deformation on the properties relative to Bose–Einstein condensation (BEC) are discussed. It is shown that q -deformation leads to some novel characteristics different from those of an original Bose gas, which include the criteria on the occurrence of BEC, critical temperature and jump of heat capacity at the critical point. The results obtained here provide a unified description for the properties of q -deformed Bose systems from the nonrelativistic case to the ultrarelativistic limit, so that some important conclusions in the literature are included in this paper.
The Bose-Einstein condensation of the Bose gas is studied in a d-dimensional random box.When the length of the box L satisfies the uniform and the Gauss distributions,the critical temperature of the Bose-Einstein condensation TC is obtained respectively.Compared with that of the rigid box TRC,we find that TC is not more than TRC,and their specific relations are depended on the given distribution functions.In the same way,the condensate problem is discussed for the Bose gas confined in a potential well of harmonic-oscillator,and harmonic trap frequency is a random variable.The similar results are obtained.
The thermostatistical properties of an ideal gas of q -deformed bosons trapped in a D -dimensional power-law potential are studied, based on the q -deformed Bose–Einstein distribution. The effects of q -deformation on the properties of the system are discussed. It is shown that q -deformed bosons ( q ≠ 1) possess many different characteristics from those of ordinary bosons, which include the condition that Bose–Einstein condensation (BEC) occurs, the critical temperature and the continuity of heat capacity.