The distribution function and fluctuations of the number of particles in an ideal Bose gas confined by a trap

2001 ◽  
Vol 31 (1) ◽  
pp. 16-18 ◽  
Author(s):  
Vladimir A Alekseev
Keyword(s):  
Distribution Function ◽  
Bose Gas ◽  
Number Of Particles ◽  
Ideal Bose Gas

Particle number fluctuations in an ideal Bose gas

1997 ◽  
Vol 44 (10) ◽  
pp. 1801-1814 ◽  
Author(s):  
MARTIN WILKENS and CHRISTOPH WEISS
Keyword(s):  
Particle Number ◽  
Bose Gas ◽  
Ideal Bose Gas

Kinetic theory

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
Distribution Function ◽  
Kinetic Theory ◽  
Liouville Equation ◽  
Vlasov Equation ◽  
Particle Distribution ◽  
Equations Of Motion ◽  
Poisson Brackets ◽  
Hamiltonian Form ◽  
First Order ◽  
Number Of Particles

This chapter covers the equations governing the evolution of particle distribution and relates the macroscopic thermodynamical quantities to the distribution function. The motion of N particles is governed by 6N equations of motion of first order in time, written in either Hamiltonian form or in terms of Poisson brackets. Thus, as this chapter shows, as the number of particles grows it becomes necessary to resort to a statistical description. The chapter first introduces the Liouville equation, which states the conservation of the probability density, before turning to the Boltzmann–Vlasov equation. Finally, it discusses the Jeans equations, which are the equations obtained by taking various averages over velocities.

scholarly journals Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas

2021 ◽  
Vol 60 (3) ◽  
Author(s):  
Phan Thành Nam ◽  
Marcin Napiórkowski
Keyword(s):  
Density Matrix ◽  
Ground State ◽  
Mean Field ◽  
Interaction Strength ◽  
Bose Gas ◽  
Body Density ◽  
The Mean ◽  
The One ◽  
Mean Field Regime ◽  
Number Of Particles

AbstractWe consider the homogeneous Bose gas on a unit torus in the mean-field regime when the interaction strength is proportional to the inverse of the particle number. In the limit when the number of particles becomes large, we derive a two-term expansion of the one-body density matrix of the ground state. The proof is based on a cubic correction to Bogoliubov’s approximation of the ground state energy and the ground state.

scholarly journals WAVE FUNCTION AND PAIR DISTRIBUTION FUNCTION OF A DILUTE BOSE GAS

2009 ◽  
Vol 23 (15) ◽  
pp. 1843-1845
Author(s):  
BO-BO WEI
Keyword(s):  
Wave Function ◽  
Distribution Function ◽  
Low Temperatures ◽  
Hard Sphere ◽  
Pair Distribution Function ◽  
Bose Gas ◽  
Dilute Bose Gas

The wave function of a dilute hard sphere Bose gas at low temperatures is revisited. Errors in an early 1957 paper are corrected. The pair distribution function is calculated for two values of [Formula: see text].

Condensation of the Ideal Bose Gas as a Cooperative Transition

1968 ◽  
Vol 166 (1) ◽  
pp. 152-158 ◽  
Author(s):  
J. D. Gunton ◽  
M. J. Buckingham
Keyword(s):  
Bose Gas ◽  
Cooperative Transition ◽  
Ideal Bose Gas ◽  
The Ideal

ON CONDENSATION IN NON-IDEAL BOSE GAS

1989 ◽  
Vol 03 (06) ◽  
pp. 471-478
Author(s):  
D.P. SANKOVICH
Keyword(s):  
Critical Temperature ◽  
Low Temperature ◽  
Upper Bound ◽  
Bose Gas ◽  
The One ◽  
Ideal Bose Gas

A model of the non-ideal Bose gas is considered. We prove the existence of condensate in the model at sufficiently low temperature. The method of majorizing estimates for the Duhamel Two Point Functions is used. The equation for the critical temperature and the upper bound for the one-particle excitations energy are obtained.

The condensation of ideal Bose gas in a gravitational field

2012 ◽  
Vol 407 (21) ◽  
pp. 4375-4378 ◽  
Author(s):  
Cong-Fei Du ◽  
Hong Li ◽  
Zhen-Quan Lin ◽  
Xiang-Mu Kong
Keyword(s):  
Gravitational Field ◽  
Bose Gas ◽  
Ideal Bose Gas
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