Casimir entropy for magnetodielectrics

Abstract

We find the analytic expressions for the Casimir free energy, entropy and pressure at low temperature in the configuration of two parallel plates made of magnetodielectic material. The cases of constant and frequency-dependent dielectic permittivity and magnetic permeability of the plates are considered. Special attention is paid to the account of dc conductivity. It is shown that in the case of finite static dielectric permittivity and magnetic permeability the Nernst heat theorem for the Casimir entropy is satisfied. If the dc conductivity is taken into account, the Casimir entropy goes to a positive nonzero limit depending on the parameters of a system when the temperature vanishes, i.e., the Nernst theorem is violated. The experimental situation is also discussed.

12 pages, invited contribution to the special issue on Casimir Forces to be published by J. Phys.: Condens. Matt

References in corpus (11)

• Measurement of the Temperature Dependence of the Casimir-Polder Force
• Control of the Casimir force by the modification of dielectric properties with light
• Demonstration of the Casimir force between ferromagnetic surfaces of a Ni-coated sphere and a Ni-coated plate
• Casimir Interactions for Anisotropic Magnetodielectric Metamaterials
• Thermal Lifshitz Force between Atom and Conductor with Small Density of Carriers
• Conductivity of dielectric and thermal atom-wall interaction
• Contribution of drifting carriers to the Casimir-Lifshitz and Casimir-Polder interactions with semiconductor materials
• Problems in the theory of thermal Casimir force between dielectrics and semiconductors
• Universal behavior of dispersion forces between two dielectric plates in the low-temperature limit
• Control of the Casimir Force Using Semiconductor Test Bodies
• Magnetic materials and the problem of thermal Casimir force

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• Universal experimental test for the role of free charge carriers in thermal Casimir effect within a micrometer separation range
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