Casimir effect for magnetic media: Spatially nonlocal response to the
off-shell quantum fluctuation
- URL: http://arxiv.org/abs/2110.01285v1
- Date: Mon, 4 Oct 2021 09:50:58 GMT
- Title: Casimir effect for magnetic media: Spatially nonlocal response to the
off-shell quantum fluctuation
- Authors: G. L. Klimchitskaya and V. M. Mostepanenko
- Abstract summary: We extend the Lifshitz theory of the Casimir force to the case of two parallel magnetic metal plates.
We compute the gradient of the Casimir force between Ni-coated surfaces of a sphere and a plate using the alternative nonlocal response functions.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We extend the Lifshitz theory of the Casimir force to the case of two
parallel magnetic metal plates possessing a spatially nonlocal dielectric
response. By solving Maxwell equations in the configuration of an
electromagnetic wave incident on the boundary plane of a magnetic metal
semispace, the exact surface impedances are expressed in terms of its magnetic
permeability and longitudinal and transverse dielectric functions. This allows
application of the Lifshitz theory with reflection coefficients written via the
surface impedances for calculation of the Casimir pressure between magnetic
metal (Ni) plates whose dielectric responses are described by the alternative
nonlocal response functions introduced for the case of nonmagnetic media. It is
shown that at separations from 100 to 800~nm the Casimir pressures computed
using the alternative nonlocal and local plasma response functions differ by
less than 1\%. At separations of a few micrometers, the predictions of these
two approaches differ between themselves and between that one obtained using
the Drude function by several tens of percent. We also compute the gradient of
the Casimir force between Ni-coated surfaces of a sphere and a plate using the
alternative nonlocal response functions and find a very good agreement with the
measurement data. Implications of the obtained results determined by the
off-shell quantum fluctuations to a resolution of long-standing problems in the
Casimir physics are discussed.
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