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Lifshitz-Matsubara sum formula for the Casimir pressure between magnetic metallic mirrors

Abstract : We examine the conditions of validity for the Lifshitz-Matsubara sum formula for the Casimir pressure between magnetic metallic plane mirrors. As in the previously studied case of nonmagnetic materials [Guérout et al., Phys. Rev. E 90, 042125 (2014)], we recover the usual expression for the lossy model of optical response, but not for the lossless plasma model. We also show that the modes associated with the Foucault currents play a crucial role in the limit of vanishing losses, in contrast to expectations.
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https://hal.sorbonne-universite.fr/hal-01280838
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Submitted on : Tuesday, March 1, 2016 - 11:17:33 AM
Last modification on : Thursday, December 10, 2020 - 12:37:49 PM

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R. Guérout, A. Lambrecht, K. A. Milton, S. Reynaud. Lifshitz-Matsubara sum formula for the Casimir pressure between magnetic metallic mirrors. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2016, 93 (2), pp.022108 ⟨10.1103/PhysRevE.93.022108⟩. ⟨hal-01280838⟩

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