Casimir interaction between inclined metallic cylinders

Abstract

The Casimir interaction between one-dimensional metallic objects (cylinders, wires) displays unconventional features. Here we study the orientation dependence of this interaction by computing the Casimir energy between two inclined cylinders over a wide range of separations. We consider Dirichlet, Neumann and perfect metal boundary conditions, both at zero temperature and in the classical high temperature limit. For all types of boundary conditions, we find that at large distances the interaction decays slowly with distance, similarly to the case of parallel cylinders, and at small distances scales as the interaction of two spheres (but with different numerical coefficients). Our numerical results at intermediate distances agree with our analytic predictions at small and large separations. Experimental implications are discussed.

9 pages, 5 figures

References in corpus (5)

• Casimir forces between arbitrary compact objects
• Casimir forces beyond the proximity approximation
• Material dependence of Casimir forces: gradient expansion beyond proximity
• Casimir manipulations: The orientation dependence of fluctuation-induced forces
• Nonmonotonic effects of parallel sidewalls on Casimir forces between cylinders

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• Casimir interaction between spherical and planar plasma sheets