The Casimir force at high temperature

Abstract

The standard expression of the high-temperature Casimir force between perfect conductors is obtained by imposing macroscopic boundary conditions on the electromagnetic field at metallic interfaces. This force is twice larger than that computed in microscopic classical models allowing for charge fluctuations inside the conductors. We present a direct computation of the force between two quantum plasma slabs in the framework of non relativistic quantum electrodynamics including quantum and thermal fluctuations of both matter and field. In the semi-classical regime, the asymptotic force at large slab separation is identical to that found in the above purely classical models, which is therefore the right result. We conclude that when calculating the Casimir force at non-zero temperature, fluctuations inside the conductors can not be ignored.

7 pages, 0 figures

References in corpus (8)

• Measurement of the Casimir force between parallel metallic surfaces
• Coulomb systems at low density
• The Casimir force at high temperature
• Casimir force between two ideal-conductor walls revisited
• Universality in some classical Coulomb systems of restricted dimension
• Microscopic origin of universality in Casimir forces
• Equilibrium correlations in charged fluids coupled to the radiation field
• The Ideal Conductor Limit

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