Noncontact gears. II. Casimir torque between concentric corrugated cylinders for the scalar case

Journal Article · Mon Sep 15 04:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.065019· OSTI ID:21254173

Cavero-Pelaez, Ines; Milton, Kimball A; Parashar, Prachi; Shajesh, K V ^[1]

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1. Laboratoire Kastler Brossel, Universite Pierre et Marie Curie, ENS, CNRS, Campus Jussieu, University Paris 6, Case 74, F-75252 Paris, cedex 05 (France)

The Casimir interaction between two concentric corrugated cylinders provides the mechanism for noncontact 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.

• OSTI ID: 21254173
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 78; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
COMPARATIVE EVALUATIONS
COMPUTERIZED SIMULATION
COUPLING
CYLINDERS
INTERACTIONS
POTENTIALS
SCALAR FIELDS
TORQUE
WAVELENGTHS