Casimir Forces: An Exact Approach for Periodically Deformed Objects

Details Casimir Forces: An Exact Approach for Periodically Deformed Objects Casimir Forces: An Exact Approach for Periodically Deformed Objects

2002-06-28

arxiv.org/abs/cond-mat/0206585v1

Europhys.Lett.62:466-472,2003

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1209/epl/i2003-00376-7

A novel approach for calculating Casimir forces between periodically deformed objects is developed. This approach allows, for the first time, a rigorous non-perturbative treatment of the Casimir effect for disconnected objects beyond Casimir's original two-plate configuration. The approach takes into account the collective nature of fluctuation induced forces, going beyond the commonly used pairwise summation of two-body van der Waals forces. As an application of the method, we exactly calculate the Casimir force due to scalar field fluctuations between a flat and a rectangular corrugated plate. In the latter case, the force is found to be always attractive.

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