2009/06/30 by Hongbo Cheng
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Casimir effect #Casimir pressure #Classical mechanics #Cosmology and Gravitation Theories #Mathematical analysis #Mathematics #Mechanics #Physics #Piston (optics) #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Randall–Sundrum model #Sign (mathematics) #Theoretical physics #Thermal #Thermodynamics #hep-th
paper · pdf · doi:10.1088/1674-1137/35/12/002
published as Chinese Physics C 35(2011)1084 · 18 pages, 4 figures
openalex publication_date 2011/12/01 · arxiv created 2011/12/29 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Casimir effect for a three-parallel-plate system at finite temperature within the frame of five-dimensional Randall-Sundrum models is studied. In the case of Randall-Sundrum model involving two branes we find that the Casimir force depends on the plates distance and temperature after one outer plate has been moved to the distant place. Further we discover that the sign of the reduced force is negative as the plate and piston locate very close, but the reduced force nature becomes repulsive when the plates distance is not very tiny and finally the repulsive force vanishes with extremely large plates separation. The thermal influence causes the repulsive Casimir force greater. Within the frame of one-brane scenario the reduced Casimir force between the piston and one plate left keeps attractive no matter how high the temperature is. It is interesting that the thermal effect leads the attractive Casimir force greater instead of changing the force nature.