2008/12/02 by S. C. Lim, S C Lim, L. P. Teo +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Electrodynamics and Casimir Effect #Quantum and Classical Electrodynamics #hep-th
paper · pdf · doi:10.1088/1367-2630/11/1/013055
published as New J.Phys.11:013055,2009 · 17 pages, 3 figures, 5 tables
arxiv created 2008/12/02 · openalex publication_date 2009/01/30 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We study the zero and finite temperature Casimir force acting on a perfectly conducting piston with arbitrary cross section moving inside a closed cylinder with infinitely permeable walls. We show that at any temperature, the Casimir force always tends to move the piston away from the walls and toward its equilibrium position. In the case of a rectangular piston, exact expressions for the Casimir force are derived. In the high-temperature regime, we show that the leading term of the Casimir force is linear in temperature and therefore the Casimir force has a classical limit. Due to duality, all these results also hold for an infinitely permeable piston moving inside a closed cylinder with perfectly conducting walls.