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Casimir force on a piston

R. M. Cavalcanti
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Abstract

We consider a massless scalar field obeying Dirichlet boundary conditions on the walls of a two-dimensional L x b rectangular box, divided by a movable partition (piston) into two compartments of dimensions a x b and (L-a) x b. We compute the Casimir force on the piston in the limit L -> infinity. Regardless of the value of a/b, the piston is attracted to the nearest end of the box. Asymptotic expressions for the Casimir force on the piston are derived for a << b and a >> b.

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R. M. Cavalcanti. 2004-01-26. Casimir force on a piston. https://doi.org/10.1103/physrevd.69.065015

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