Casimir effect at nonzero temperature for wedges and cylinders

Journal Article · Mon Mar 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.065031· OSTI ID:21431029

Ellingsen, Simen A; Brevik, Iver; Milton, Kimball A ^[1]

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1. Department of Energy and Process Engineering, Norwegian University of Science and Technology, N-7491 Trondheim (Norway)

We consider the Casimir-Helmholtz free energy at nonzero temperature T for a circular cylinder and perfectly conducting wedge closed by a cylindrical arc, either perfectly conducting or isorefractive. The energy expression at nonzero temperature may be regularized to obtain a finite value, except for a singular corner term in the case of the wedge which is present also at zero temperature. Assuming the medium in the interior of the cylinder or wedge be nondispersive with refractive index n, the temperature dependence enters only through the nondimensional parameter 2{pi}naT, a being the radius of the cylinder or cylindrical arc. We show explicitly that the known zero-temperature result is regained in the limit aT{yields}0 and that previously derived high-temperature asymptotics for the cylindrical shell are reproduced exactly.

• OSTI ID: 21431029
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
CASIMIR EFFECT
CONFIGURATION
CYLINDRICAL CONFIGURATION
ENERGY
FREE ENERGY
MATHEMATICAL SOLUTIONS
OPTICAL PROPERTIES
PHYSICAL PROPERTIES
REFRACTIVE INDEX
TEMPERATURE DEPENDENCE
THERMODYNAMIC PROPERTIES