Casimir-Polder force and torque for anisotropic molecules close to conducting planes and their effects on CO${}_2$

Abstract

We derive the Casimir-Polder force and Casimir torque expressions for an anisotropic molecule close to a conducting plane with a tensorial conductivity. We apply our general expressions to the case of a carbon dioxide CO${}_2$ molecule close to a plane with pure Hall conductivity and to graphene. We show that the equilibrium position of this linear molecule is with its main axis perpendicular to the surface. We hence conjecture a possible way to exploit the Casimir torque to mechanically improve the performance of CO${}_2$ separation membranes useful for an efficient atmospheric CO${}_2$ reduction.

arXiv comment11 pages, 8 figures

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Cited by in corpus (11)

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