Casimir Friction Between a Magnetic and a Dielectric Material, in the Nonretarded Limit
arXiv:1904.00223 · doi:10.1103/PhysRevA.99.042511
Abstract
The repulsive nature of the static Casimir force between two half-spaces, one perfectly dielectric and the other purely magnetic, has been known since Boyer's work [T. H. Boyer, Phys. Rev. A {\bf 9}, 2078 (1974)]. We here analyze the corresponding friction force in the magnetodielectric case. Our main method is that of quantum mechanical statistical mechanics. The basic model we introduce is a harmonic oscillator model: an electric dipole oscillating in the direction and a magnetic one oscillating in the direction, while their separation is in the direction. This is then extended to particles with isotropic polarizabilities. We evaluate the friction force in a variety of cases: force between moving particles, between a moving particle and a half-plane, and between half-spaces sliding against each other. At the end explicit results are obtained both for finite and zero temperatures. We restrict ourselves to the nonretarded limit.
arXiv comment18 pages, Latex2e. Minor changes, matches published version
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