Casimir interaction between two concentric cylinders at nonzero temperature
Department of Applied Mathematics, Faculty of Engineering, University of Nottingham Malaysia Campus Jalan Broga, 43500, Semenyih, Selangor Darul Ehsan, Malaysia
Accepted: 19 August 2011
We study the finite-temperature Casimir interaction between two concentric cylinders. When the separation between the cylinders is much smaller than the radii of the cylinders, the asymptotic expansions of the Casimir interaction are derived. Both the low-temperature and the high-temperature regions are considered. The leading terms are found to agree with the proximity force approximations. The low-temperature leading term of the temperature correction is also computed and it is found to be independent of the boundary conditions imposed on the larger cylinder.
PACS: 03.70.+k – Theory of quantized fields / 12.20.Ds – Specific calculations
© EPLA, 2011