Casimir energy between media-separated cylinders: the scalar case

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.

New figure and discussion about the integration contour in the complex plane

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• Casimir interaction between a sphere and a cylinder
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• Scalar Casimir densities induced by a cylindrical shell in de Sitter spacetime
• Casimir interaction between spheres in $(\mathbf{D}+1)$-dimensional Minkowski spacetime
• Finite temperature Casimir interaction between spheres in $(D+1)$-dimensional spacetime: Exact computations and asymptotic expansions
• Casimir interaction of concentric spheres at finite temperature
• On the Casimir repulsion in sphere-plate geometry
• Casimir-Lifshitz interaction between ZnO and SiO2 nanorods in bromobenzene: retardation effects turn the interaction repulsive at intermediate separations
• Casimir interaction between two concentric cylinders at nonzero temperature
• Massive scalar Casimir interaction beyond proximity force approximation