High temperature asymptotics of thermodynamic functions of electromagnetic field subjected to boundary conditions on a sphere and cylinder

Abstract

The high temperature asymptotics of thermodynamic functions of electromagnetic field subjected to boundary conditions with spherical and cylindrical symmetries are constructed by making use of a general expansion in terms of heat kernel coefficients and the related determinant. For this, some new heat kernel coefficients and determinants had to be calculated for the boundary conditions under consideration. The obtained results reproduce all the asymptotics derived by other methods in the problems at hand and involve a few new terms in the high temperature expansions. An obvious merit of this approach is its universality and applicability to any boundary value problem correctly formulated.

27 pages, REVTeX, no figures, no tables, presentations is improved, a few references are added

References in corpus (4)

• New Developments in the Casimir Effect
• The heat kernel coefficients for the dielectric cylinder
• Multiple reflection expansion and heat kernel coefficients
• High Temperature Asymptotics in Terms of Heat Kernel Coefficients: Boundary Conditions with Spherical and Cylindrical Symmetries

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