Casimir effect of an ideal Bose gas trapped in a generic power-law potential
Department of Physics, Xiamen University - Xiamen 361005, PRC
2 LUNAM Université, ISMANS, Laboratoire de Physique Statistique et Systèmes Complexes 44, Avenue F. A. Bartholdi, 72000 Le Mans, France, EU
3 LPEC, Université du Maine - Ave. O. Messiaen, 72035 Le Mans, France, EU
Accepted: 25 April 2012
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.
PACS: 05.30.-d – Quantum statistical mechanics / 05.30.Jp – Boson systems / 03.75.Hh – Static properties of condensates; thermodynamical, statistical, and structural properties
© EPLA, 2012