Bose condensation and the Casimir effects of an imperfect Bose gas in a d-dimensional configuration space

@article{Bhuiyan2015BoseCA,
  title={Bose condensation and the Casimir effects of an imperfect Bose gas in a d-dimensional configuration space},
  author={G. M. Bhuiyan},
  journal={Journal of Physics: Conference Series},
  year={2015},
  volume={1718}
}
  • G. Bhuiyan
  • Published 2 July 2015
  • Physics
  • Journal of Physics: Conference Series
Some properties of an ideal gas of massive bosons in a mean field potential and, confined between two infinite parallel slabs in a d-dimensional configuration space are investigated systematically. Here, one particle density of states approach is employed to study the critical temperature, shift of density, Casimir effects and critical exponents, starting from the evaluation of the grand canonical free energy in d-dimension. We have found that, the shift of density, Casimir force and the… 
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References

SHOWING 1-10 OF 66 REFERENCES

The imperfect Bose gas in d dimensions: critical behavior and Casimir forces

We consider the d-dimensional imperfect (mean-field) Bose gas confined in a slit-like geometry and subject to periodic boundary conditions. Within an exact analytical treatment we first extract the

Quantum criticality of the imperfect Bose gas in d dimensions

We study the low-temperature limit of the d-dimensional imperfect Bose gas. Relying on an exact analysis of the microscopic model, we establish the existence of a second-order quantum phase

Casimir forces in Bose–Einstein condensates: finite-size effects in three-dimensional rectangular cavities

The Casimir force due to thermal fluctuations (or the pseudo-Casimir force) was previously calculated for a perfect Bose gas in the slab geometry for various boundary conditions. The Casimir pressure

Bose-Einstein condensation and Casimir effect of trapped ideal Bose gas in between two slabs

Abstract.We study the Bose-Einstein condensation for a 3-d system of ideal Bose gas which is harmonically trapped along two perpendicular directions and is confined in between two slabs along the

The Casimir effect: From quantum to critical fluctuations

The Casimir effect in quantum electrodynamics (QED) is perhaps the best-known example of fluctuation-induced long-ranged force acting on objects (conducting plates) immersed in a fluctuating medium

The Bulk Correlation Length and the Range of Thermodynamic Casimir Forces at Bose-Einstein Condensation

The relation between the bulk correlation length and the decay length of thermodynamic Casimir forces is investigated microscopically in two three-dimensional systems undergoing Bose-Einstein

LETTER TO THE EDITOR: Transition temperature of the weakly interacting Bose gas: perturbative solution of the crossover equations in the canonical ensemble

We compute the shift of the critical temperature Tc with respect to the ideal case for a weakly interacting uniform Bose gas. We work in the framework of the canonical ensemble, extending the

Conserving and gapless approximations for an inhomogeneous Bose gas at finite temperatures.

  • Griffin
  • Physics
    Physical review. B, Condensed matter
  • 1996
It is pointed out that the Popov approximation to the full HFB gives a gapless single-particle spectrum at all temperatures and that the problem of determining the excitation spectrum of a Bose-condensed gas is difficult because of the need to satisfy several different constraints.

Critical Casimir forces for O(N) models from functional renormalization

We consider the classical O(N)-symmetric models confined in a d-dimensional slab-like geometry and subject to periodic boundary conditions. Applying the one-particle-irreducible variant of functional
...