2014/11/11 by G. L. Klimchitskaya, C. C. Korikov · 2 citations
Chemistry · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Casimir effect #Casimir pressure #Chemistry #Classical mechanics #Condensed matter physics #Conductivity #Dielectric #Entropy (arrow of time) #Mechanical and Optical Resonators #Nernst equation #Permeability (electromagnetism) #Permittivity #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Thermodynamics #cond-mat.other #quant-ph
paper · pdf · doi:10.1088/0953-8984/27/21/214007
published as J. Phys.: Condens. Matter, v.27, 214007 (2015) · 12 pages, invited contribution to the special issue on Casimir Forces to be published by J. Phys.: Condens. Matt
arxiv created 2014/11/11 · openalex publication_date 2015/05/12 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.