Casimir energy between media-separated cylinders: the scalar case
F.C. Lombardo, F.D. Mazzitelli, P.I. Villar, and D.A.R. Dalvit
TL;DR
This paper derives exact formulas for the Casimir scalar interaction energy between media-separated eccentric dielectric cylinders and cylinder-plane geometries, revealing attraction or repulsion based on media permittivities.
Contribution
It provides the first exact expressions for Casimir energies in media-separated eccentric cylinders and cylinder-plane setups using mode-summation.
Findings
Force can be attractive or repulsive depending on media permittivities
Exact formulas for media-separated eccentric cylinders derived
Results extend Casimir interaction understanding to complex geometries
Abstract
We derive exact expressions for the Casimir scalar interaction energy between media-separated eccentric dielectric cylinders and for the media-separated cylinder-plane geometry using a mode-summation approach. Similarly to the electromagnetic Casimir-Lifshitz interaction energy between fluid-separated planar plates, the force between cylinders is attractive or repulsive depending on the relative values of the permittivities of the three intervening media.
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