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Fluctuation forces in a three-layer medium with rough boundaries. III. Aspects of perturbation theory in the Casimir range

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Abstract

The problem of calculating the Casimir force that acts in a system of two metallic plates with rough boundaries separated by an insulating layer is considered. An algorithm for constructing a perturbation series in the small function of the roughness profile is developed.

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References

  1. M. Yu. Novikov, A. S. Sorin, and V. Ya. Chernyak,Teor. Mat. Fiz.,82, 178 (1990).

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  2. M. Yu. Novikov, A. S. Sorin, and V. Ya. Chernyak,Teor. Mat. Fiz.,82, 360 (1990).

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Scientific Council on the Problem Complex Kibernetika, USSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 91, No. 3, pp. 474–482, June, 1992.

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Novikov, M.Y., Sorin, A.S. & Chernyak, V.Y. Fluctuation forces in a three-layer medium with rough boundaries. III. Aspects of perturbation theory in the Casimir range. Theor Math Phys 91, 658–663 (1992). https://doi.org/10.1007/BF01017343

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  • DOI: https://doi.org/10.1007/BF01017343

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