Casimir Forces in a Piston Geometry at Zero and Finite Temperatures

dc.creatorHertzberg, M. P.
dc.creatorJaffe, R. L.
dc.creatorKardar, M.
dc.creatorScardicchio, A.
dc.date2007-05-01
dc.date2007-11-18
dc.date.accessioned2026-07-07T10:55:22Z
dc.date.available2026-07-07T10:55:22Z
dc.descriptionWe 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).
dc.descriptionUpdated to match version published in PRD, 13 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0705.0139
dc.identifierhttp://arxiv.org/abs/0705.0139
dc.identifierPhys.Rev.D76:045016,2007
dc.identifierdoi:10.1103/PhysRevD.76.045016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186061
dc.subjectQuantum Physics
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleCasimir Forces in a Piston Geometry at Zero and Finite Temperatures
dc.typetext

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