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Entropy 2013, 15(8), 3045-3064; doi:10.3390/e15083045

Casimir Friction between Dense Polarizable Media

1 Department of Physics, Norwegian University of Science and Technology, Trondheim N-7491, Norway 2 Department of Energy and Process Engineering, Norwegian University of Science and Technology, Trondheim N-7491, Norway
* Author to whom correspondence should be addressed.
Received: 28 June 2013 / Revised: 17 July 2013 / Accepted: 22 July 2013 / Published: 29 July 2013
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The present paper—a continuation of our recent series of papers on Casimir friction for a pair of particles at low relative particle velocity—extends the analysis, so as to include dense media. The situation becomes, in this case, more complex, due to induced dipolar correlations, both within planes and between planes. We show that the structure of the problem can be simplified by regarding the two half-planes as a generalized version of a pair of particles. It turns out that macroscopic parameters, such as permittivity, suffice to describe the friction, also in the finite density case. The expression for the friction force per unit surface area becomes mathematically well-defined and finite at finite temperature. We give numerical estimates and compare them with those obtained earlier by Pendry (1997) and by Volokitin and Persson (2007). We also show in an appendix how the statistical methods that we are using correspond to the field theoretical methods more commonly in use.
Keywords: Casimir friction; Casimir effect; van der Waals friction Casimir friction; Casimir effect; van der Waals friction
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Høye, J.S.; Brevik, I. Casimir Friction between Dense Polarizable Media. Entropy 2013, 15, 3045-3064.

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