Non-contact gears: II. Casimir torque between concentric corrugated cylinders for the scalar case

Details Non-contact gears: II. Casimir torque between concentric corrugated cylinders for the scalar case Non-contact gears: II. Casimir torque between concentric corrugated cylinders for the scalar case

2008-05-19

arxiv.org/abs/0805.2777v2

Phys.Rev.D78:065019,2008

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, 3 figures, references corrected

Scientific paper

10.1103/PhysRevD.78.065019

The Casimir interaction between two concentric corrugated cylinders provides the mechanism for non-contact gears. To this end, we calculate the Casimir torque between two such cylinders, described by $\delta$-potentials, which interact through a scalar field. We derive analytic expressions for the Casimir torque for the case when the corrugation amplitudes are small in comparison to the corrugation wavelengths. We derive explicit results for the Dirichlet case, and exact results for the weak coupling limit, in the leading order. The results for the corrugated cylinders approach the corresponding expressions for the case of corrugated parallel plates in the limit of large radii of cylinders (relative to the difference in their radii) while keeping the corrugation wavelength fixed.

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