The ⋋ Structure of the Heat Capacity of an Ideal Gas in the Critical Region of Bose–Einstein Condensation for Various Mesoscopic Traps

The new generalized Bose–Einstein condensation (GBEC) quantum-statistical theory starts from a noninteracting ternary boson-fermion (BF) gas of two-hole Cooper pairs (2hCPs) along with the usual two-electron Cooper pairs (2eCPs) plus unpaired electrons. Here we obtain the entropy and heat capacity and confirm once again that GBEC contains as a special case the Bardeen–Cooper–Schrieffer (BCS) theory. The energy gap is first calculated and compared with that of BCS theory for different values of a new dimensionless coupling parameter n/n[Formula: see text] where n is the total electron number density and n[Formula: see text] that of unpaired electrons at zero absolute temperature. Then, from the entropy, the heat capacity is calculated. Results compare well with elemental-superconductor data suggesting that 2hCPs are indispensable to describe superconductors (SCs).

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Theory of adiabatic variation of critical temperature of the Bose-Einstein condensation of an ideal gas in optical lattice

Journal of Contemporary Physics (Armenian Academy of Sciences) ◽

10.3103/s1068337207030034 ◽

2007 ◽

Vol 42 (3) ◽

pp. 94-100

Author(s):

G. A. Muradyan ◽

A. Zh. Muradyan

Keyword(s):

Critical Temperature ◽

Optical Lattice ◽

Ideal Gas ◽

Einstein Condensation ◽

Bose Einstein Condensation ◽

Bose Einstein

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Particle number fluctuations in a non-ideal pion gas

EPJ Web of Conferences ◽

10.1051/epjconf/201818202066 ◽

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.

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Bose-Einstein Condensation of an Ideal Gas

American Journal of Physics ◽

10.1119/1.1973806 ◽

1967 ◽

Vol 35 (12) ◽

pp. 1154-1158 ◽

Cited By ~ 9

Author(s):

A. Casher ◽

M. Revzen

Keyword(s):

Ideal Gas ◽

Einstein Condensation ◽

Bose Einstein Condensation ◽

Bose Einstein

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Microscopic theory of a phase transition in a critical region: Bose–Einstein condensation in an interacting gas

Physics Letters A ◽

10.1016/j.physleta.2014.10.052 ◽

2015 ◽

Vol 379 (5) ◽

pp. 466-470 ◽

Cited By ~ 8

Author(s):

Vitaly V. Kocharovsky ◽

Vladimir V. Kocharovsky

Keyword(s):

Phase Transition ◽

Critical Region ◽

Microscopic Theory ◽

Einstein Condensation ◽

Bose Einstein Condensation ◽

Bose Einstein

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BEC IN NONEXTENSIVE STATISTICAL MECHANICS

International Journal of Modern Physics B ◽

10.1142/s0217979200000388 ◽

2000 ◽

Vol 14 (04) ◽

pp. 405-409 ◽

Cited By ~ 4

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.

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