2000/02/23 by Cyriaque Genet, Astrid Lambrecht, Serge Reynaud
Engineering · Mathematics · Physics and Astronomy · #Casimir effect #Classical mechanics #Condensed matter physics #Cosmology and Gravitation Theories #Electrical resistivity and conductivity #Function (biology) #Geometry #Mathematical analysis #Mathematics #Physics #Plane (geometry) #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Simple (philosophy) #Thermal Radiation and Cooling Technologies #Zero (linguistics) #Zero temperature #quant-ph
paper · pdf · doi:10.1103/physreva.62.012110
published as Phys. Rev. A 62, 012110 (2000) · 8 pages, 4 figures, uses RevTeX
arxiv created 2000/02/23 · openalex publication_date 2000/06/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We calculate the Casimir force and free energy for plane metallic mirrors at nonzero temperature. Numerical evaluations are given with temperature and conductivity effects treated simultaneously. The results are compared with the approximation where both effects are treated independently and the corrections simply multiplied. The deviation between the exact and approximated results takes the form of a temperature dependent function for which an analytical expression is given. The knowledge of this function allows simple estimations that are accurate below the 1% level.