Casimir Forces in a Piston Geometry at Zero and Finite Temperatures

Autor:	Hertzberg, M. P., Jaffe, R. L., Kardar, M., Scardicchio, A.
Rok vydání:	2007
Předmět:	Quantum Physics Condensed Matter - Statistical Mechanics High Energy Physics - Theory
Zdroj:	Phys.Rev.D76:045016,2007
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevD.76.045016
Popis:	We study Casimir forces on the partition in a closed box (piston) with perfect metallic boundary conditions. Related closed geometries have generated interest as candidates for a repulsive force. By using an optical path expansion we solve exactly the case of a piston with a rectangular cross section, and find that the force always attracts the partition to the nearest base. For arbitrary cross sections, we can use an expansion for the density of states to compute the force in the limit of small height to width ratios. The corrections to the force between parallel plates are found to have interesting dependence on the shape of the cross section. Finally, for temperatures in the range of experimental interest we compute finite temperature corrections to the force (again assuming perfect boundaries). Comment: Updated to match version published in PRD, 13 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0705.0139 Zobrazit plný text záznamu View this record from Arxiv