Casimir-Lifshitz force out of thermal equilibrium and asymptotic non-additivity

Details Casimir-Lifshitz force out of thermal equilibrium and asymptotic non-additivity Casimir-Lifshitz force out of thermal equilibrium and asymptotic non-additivity

2006-07-07

arxiv.org/abs/cond-mat/0607205v2

Phys. Rev. Lett. 97, 223203 (2006)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures. Published version, revised and more detailed

Scientific paper

10.1103/PhysRevLett.97.223203

We investigate the force acting between two parallel plates held at different temperatures. The force reproduces, as limiting cases, the well known Casimir-Lifshitz surface-surface force at thermal equilibrium and the surface-atom force out of thermal equilibrium recently derived by M. Antezza \emph{et al.}, Phys. Rev. Lett. {\bf 95}, 113202 (2005). The asymptotic behavior of the force at large distances is explicitly discussed. In particular when one of the two bodies is a rarefied gas the force is not additive, being proportional to the square root of the density. Nontrivial cross-over regions at large distances are also identified.

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