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Abstract: We study Casimir forces on the partition in a closed box (piston) withperfect metallic boundary conditions. Related closed geometries have generatedinterest as candidates for a repulsive force. By using an optical pathexpansion we solve exactly the case of a piston with a rectangular crosssection, and find that the force always attracts the partition to the nearestbase. For arbitrary cross sections, we can use an expansion for the density ofstates to compute the force in the limit of small height to width ratios. Thecorrections to the force between parallel plates are found to have interestingdependence on the shape of the cross section. Finally, for temperatures in therange of experimental interest we compute finite temperature corrections to theforce (again assuming perfect boundaries).



Autor: M. P. Hertzberg (MIT), R. L. Jaffe (MIT), M. Kardar (MIT), A. Scardicchio (Princeton)

Fuente: https://arxiv.org/







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