Casimir effect for a dilute dielectric ball at finite temperature

Abstract

The Casimir effect at finite temperature is investigated for a dilute dielectric ball; i.e., the relevant internal and free energies are calculated. The starting point in this study is a rigorous general expression for the internal energy of a system of noninteracting oscillators in terms of the sum over the Matsubara frequencies. Summation over the angular momentum values is accomplished in a closed form by making use of the addition theorem for the relevant Bessel functions. For removing the divergences the renormalization procedure is applied that has been developed in the calculation of the corresponding Casimir energy at zero temperature. The behavior of the thermodynamic characteristics in the low and high temperature limits is investigated.

15 pages, REVTeX, no figures, no tables; editor corrections are introduced, version published in Phys. Rev. D 15

References in corpus (7)

• Casimir Effect: The Classical Limit
• Casimir's energy of a conducting sphere and of a dilute dielectric ball
• Casimir energy of a dilute dielectric ball in the mode summation method
• The Casimir Problem of Spherical Dielectrics: Quantum Statistical and Field Theoretical Approaches
• Casimir energy of a dilute dielectric ball with uniform velocity of light at finite temperature
• Finite Temperature Casimir Effect for a Dilute Ball Satisfying $\epsilon \mu =1$
• Casimir-Polder energy and dilute dielectric ball : nondispersive case

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• Geothermal Casimir phenomena for the sphere-plate and cylinder-plate configurations
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• Casimir energy of a dilute dielectric ball at zero and finite temperature
• Casimir Self-Entropy of Nanoparticles with Classical Polarizabilities: Electromagnetic Field Fluctuations