Casimir effect of an ideal Bose gas trapped in a generic power-law potential
arXiv:1209.3392 · doi:10.1209/0295-5075/98/40010
Abstract
The Casimir effect of an ideal Bose gas trapped in a generic power-law potential and confined between two slabs with Dirichlet, Neumann, and periodic boundary conditions is investigated systematically, based on the grand potential of the ideal Bose gas, the Casimir potential and force are calculated. The scaling function is obtained and discussed. The special cases of free and harmonic potentials are also discussed. It is found that when T<Tc (where Tc is the critical temperature of Bose-Einstein condensation), the Casimir force is a power-law decay function; when T>Tc, the Casimir force is an exponential decay function; and when T>>Tc, the Casimir force vanishes.
5 pages, 1 figure
References in corpus (8)
- The Casimir effect: from quantum to critical fluctuations
- Casimir-like force arising from quantum fluctuations in a slow-moving dilute Bose-Einstein condensate
- The Casimir effect for the Bose-Gas in Slabs
- The Casimir force at high temperature
- Bose-Einstein condensation and Casimir effect for ideal Bose Gas confined between two slabs
- Relation between the thermodynamic Casimir effect in Bose-gas slabs and critical Casimir forces
- Casimir forces in Bose-Einstein condensates: finite size effects in three-dimensional rectangular cavities
- Bose-Einstein Condensation and Casimir Effect of Trapped Ideal Bose Gas in between two Slabs