scholarly journals BEC IN NONEXTENSIVE STATISTICAL MECHANICS

2000 ◽  
Vol 14 (04) ◽  
pp. 405-409 ◽  
Author(s):  
LUCA SALASNICH
Keyword(s):  
Transition Temperature ◽  
Statistical Mechanics ◽  
Dimensional Space ◽  
Ideal Gas ◽  
Einstein Condensation ◽  
Nonextensive Statistical Mechanics ◽  
Small Deviations ◽  
Bose Einstein Condensation ◽  
Bose Statistics ◽  
Bose Einstein

We discuss the Bose–Einstein condensation (BEC) for an ideal gas of bosons in the framework of Tsallis's nonextensive statistical mechanics. We study the corrections to the st and ard BEC formulas due to a weak nonextensivity of the system. In particular, we consider three cases in the D-dimensional space: the homogeneous gas, the gas in a harmonic trap and the relativistic homogenous gas. The results show that small deviations from the extensive Bose statistics produce remarkably large changes in the BEC transition temperature.

scholarly journals BEC IN NONEXTENSIVE STATISTICAL MECHANICS: SOME ADDITIONAL RESULTS

2001 ◽  
Vol 15 (09) ◽  
pp. 1253-1256 ◽  
Author(s):  
LUCA SALASNICH
Keyword(s):  
Transition Temperature ◽  
Statistical Mechanics ◽  
Previous Analysis ◽  
Ideal Gas ◽  
Einstein Condensation ◽  
Nonextensive Statistical Mechanics ◽  
Bose Einstein Condensation ◽  
Analytical Formulas ◽  
Bose Einstein ◽  
Ideal Bose Gas

In a recent paper1 we discussed the Bose–Einstein condensation (BEC) in the framework of Tsallis's nonextensive statistical mechanics. In particular, we studied an ideal gas of bosons in a confining harmonic potential. In this memoir we generalize our previous analysis by investigating an ideal Bose gas in a generic power-law external potential. We derive analytical formulas for the energy of the system, the BEC transition temperature and the condensed fraction.

scholarly journals The effect of non-local derivative on Bose-Einstein condensation

2021 ◽  
Vol 24 (1) ◽  
pp. 13002
Author(s):  
F. E. Bouzenna ◽  
M. T. Meftah ◽  
M. Difallah
Keyword(s):  
Transition Temperature ◽  
Free Particle ◽  
Ideal Gas ◽  
Einstein Condensation ◽  
Critical Temperatures ◽  
Bose Einstein Condensation ◽  
Non Local ◽  
The Moment ◽  
Bose Einstein ◽  
Local Derivative

In this paper, we study the effect of non-local derivative on Bose-Einstein condensation. Firstly, we consider the Caputo-Fabrizio derivative of fractional order α to derive the eigenvalues of non-local Schrödinger equation for a free particle in a 3D box. Afterwards, we consider 3D Bose-Einstein condensation of an ideal gas with the obtained energy spectrum. Interestingly, in this approach the critical temperatures Tc of condensation for 1 < α < 2 are greater than the standard one. Furthermore, the condensation in 2D is shown to be possible. Second and for comparison, we presented, on the basis of a spectrum established by N. Laskin, the critical transition temperature as a function of the fractional parameter α for a system of free bosons governed by an Hamiltonian with power law on the moment (H~pα). In this case, we have demonstrated that the transition temperature is greater than the standard one. By comparing the two transition temperatures (relative to Caputo-Fabrizio and to Laskin), we have found for fixed α and the density ρ that the transition temperature relative to Caputo-fabrizio is greater than relative to Laskin.

scholarly journals Particle number fluctuations in a non-ideal pion gas

2018 ◽  
Vol 182 ◽  
pp. 02066
Author(s):  
Evgeni E. Kolomeitsev ◽  
Maxim E. Borisov ◽  
Dmitry N. Voskresensky
Keyword(s):  
Critical Point ◽  
Particle Number ◽  
Chemical Potential ◽  
Pion Mass ◽  
Thermodynamic Characteristics ◽  
Ideal Gas ◽  
Fixed Number ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Bose Einstein

We consider a non-ideal hot pion gas with the dynamically fixed number of particles in the model with the λφ4 interaction. The effective Lagrangian for the description of such a system is obtained by dropping the terms responsible for the change of the total particle number. Within the self-consistent Hartree approximation, we compute the effective pion mass, thermodynamic characteristics of the system and identify a critical point of the induced Bose-Einstein condensation when the pion chemical potential reaches the value of the effective pion mass. The normalized variance, skewness, and kurtosis of the particle number distributions are calculated. We demonstrate that all these characteristics remain finite at the critical point of the Bose-Einstein condensation. This is due to the non-perturbative account of the interaction and is in contrast to the ideal-gas case.

Bose-Einstein Condensation of an Ideal Gas

1967 ◽  
Vol 35 (12) ◽  
pp. 1154-1158 ◽  
Author(s):  
A. Casher ◽  
M. Revzen
Keyword(s):  
Ideal Gas ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Bose Einstein

Bose-Einstein condensation of an ideal gas in a parabolic trap

JETP Letters ◽  
1997 ◽  
Vol 66 (8) ◽  
pp. 598-604
Author(s):  
V. A. Alekseev ◽  
V. V. Klimov ◽  
D. D. Krylova
Keyword(s):  
Ideal Gas ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Bose Einstein
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