Bose–Einstein ideal gas condensation

2015 ◽  
pp. 141-158
Author(s):  
William C. Schieve ◽  
Lawrence P. Horwitz
Keyword(s):  
Ideal Gas ◽  
Gas Condensation ◽  
Bose Einstein

The combined effect of lattice’s uniaxial strains and electron–phonon interaction’s screening on TBEC of the intersite bipolarons

2016 ◽  
Vol 30 (26) ◽  
pp. 1650186
Author(s):  
B. Yavidov ◽  
SH. Djumanov ◽  
T. Saparbaev ◽  
O. Ganiyev ◽  
S. Zholdassova ◽  
...  
Keyword(s):  
Ideal Gas ◽  
Einstein Condensation ◽  
Chain Model ◽  
One Dimensional ◽  
Electron Phonon Interaction ◽  
Model Lattice ◽  
Experimental Values ◽  
Bose Einstein ◽  
Derivatives Of ◽  
The Ideal

Having accepted a more generalized form for density-displacement type electron–phonon interaction (EPI) force we studied the simultaneous effect of uniaxial strains and EPI’s screening on the temperature of Bose–Einstein condensation [Formula: see text] of the ideal gas of intersite bipolarons. [Formula: see text] of the ideal gas of intersite bipolarons is calculated as a function of both strain and screening radius for a one-dimensional chain model of cuprates within the framework of Extended Holstein–Hubbard model. It is shown that the chain model lattice comprises the essential features of cuprates regarding of strain and screening effects on transition temperature [Formula: see text] of superconductivity. The obtained values of strain derivatives of [Formula: see text] [Formula: see text] are in qualitative agreement with the experimental values of [Formula: see text] [Formula: see text] of La[Formula: see text]Sr[Formula: see text]CuO4 under moderate screening regimes.

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

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.

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

scholarly journals The Size of the Largest Part of Random Weighted Partitions of Large Integers

2013 ◽  
Vol 22 (3) ◽  
pp. 433-454 ◽  
Author(s):  
LJUBEN MUTAFCHIEV
Keyword(s):  
Distribution Function ◽  
Limit Theorem ◽  
Gumbel Distribution ◽  
Random Variable ◽  
Ideal Gas ◽  
Negative Numbers ◽  
Generating Series ◽  
Einstein Model ◽  
Bose Einstein ◽  
Weighted Partition

We consider partitions of the positive integernwhose parts satisfy the following condition. For a given sequence of non-negative numbers {bk}k≥1, a part of sizekappears in exactlybkpossible types. Assuming that a weighted partition is selected uniformly at random from the set of all such partitions, we study the asymptotic behaviour of the largest partXn. LetD(s)=∑k=1∞bkk−s,s=σ+iy, be the Dirichlet generating series of the weightsbk. Under certain fairly general assumptions, Meinardus (1954) obtained the asymptotic of the total number of such partitions asn→∞. Using the Meinardus scheme of conditions, we prove thatXn, appropriately normalized, converges weakly to a random variable having Gumbel distribution (i.e., its distribution function equalse−e−t, −∞<t<∞). This limit theorem extends some known results on particular types of partitions and on the Bose–Einstein model of ideal gas.

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