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The following article is Open access

Exact zero-point interaction energy between cylinders

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Published 20 October 2006 Published under licence by IOP Publishing Ltd
, , Focus on Casimir Forces Citation F D Mazzitelli et al 2006 New J. Phys. 8 240 DOI 10.1088/1367-2630/8/10/240

1367-2630/8/10/240

Abstract

We calculate the exact Casimir interaction energy between two perfectly conducting, very long, eccentric cylindrical shells using a mode summation technique. Several limiting cases of the exact formula for the Casimir energy corresponding to this configuration are studied both analytically and numerically. These include concentric cylinders, cylinder-plane and eccentric cylinders, for small and large separations between the surfaces. For small separations we recover the proximity approximation, while for large separations we find a weak logarithmic decay of the Casimir interaction energy, typical of cylindrical geometries.

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10.1088/1367-2630/8/10/240