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VOLUME 99 (2014) | ISSUE 10 | PAGE 669
Macroscopic approach to the Casimir friction force
DOI: 10.7868/S0370274X14100051
Abstract
The general formula is derived for the vacuum friction force between two parallel perfectly flat planes bounding two material media separated by a vacuum gap and moving relative to each other with a constant velocity \mathbf{v}. The material media are described in the framework of macroscopic electrodynamics whereas the nonzero temperature and dissipation are taken into account by making use of the Kubo formulae from non-equilibrium statistical thermodynamics. The formula obtained provides a rigorous basis for calculation of the vacuum friction force within the quantum field theory methods in the condensed matter physics. The revealed v-dependence of the vacuum friction force proves to be the following: for zero temperature (T=0) it is proportional to (v/c)3 and for T>0 this force is linear in v/c.