Lifshitz-Matsubara sum formula for the Casimir pressure between magnetic metallic mirrors.

Abstract

We examine the conditions of validity for the Lifshitz-Matsubara sum formula for the Casimir pressure between magnetic metallic plane mirrors. As in the previously studied case of nonmagnetic materials [Guérout et al., Phys. Rev. E 90, 042125 (2014)], we recover the usual expression for the lossy model of optical response, but not for the lossless plasma model. We also show that the modes associated with the Foucault currents play a crucial role in the limit of vanishing losses, in contrast to expectations.

DOI: 10.1103/PhysRevE.93.022108

Cite this paper

@article{Gurout2016LifshitzMatsubaraSF, title={Lifshitz-Matsubara sum formula for the Casimir pressure between magnetic metallic mirrors.}, author={Romain Gu{\'e}rout and Astrid Lambrecht and Kimball A. Milton and S. Reynaud}, journal={Physical review. E}, year={2016}, volume={93 2}, pages={022108} }