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

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dc.creatorCavero-Pelaez, Ines
dc.creatorMilton, Kimball A.
dc.creatorParashar, Prachi
dc.creatorShajesh, K. V.
dc.date2008-05-19
dc.date2008-07-03
dc.date.accessioned2026-07-07T12:43:50Z
dc.date.available2026-07-07T12:43:50Z
dc.descriptionThe 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 $δ$-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.
dc.description9 pages, 3 figures, references corrected
dc.identifierhttps://arxiv.org/abs/0805.2777
dc.identifierhttp://arxiv.org/abs/0805.2777
dc.identifierPhys.Rev.D78:065019,2008
dc.identifierdoi:10.1103/PhysRevD.78.065019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220560
dc.subjectHigh Energy Physics - Theory
dc.titleNon-contact gears: II. Casimir torque between concentric corrugated cylinders for the scalar case
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