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Van der Waals attraction between spherical voids in a magnetic medium

Author

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  • Brevik, I.
  • Skurdal, H.

Abstract

The van der Waals force between two spherical voids surrounded by a magnetic (paramagnetic or diamagnetic) isotropic medium is calculated. Our method of calculation is analogous to the method of Mitchell and Ninham [J. Chem. Phys. 56 (1972) 1117] carried out in the electric case. A simple Lorentz form is adopted for the frequency dependent permeability. Retardation effects are ignored, whereby the electric and magnetic forces become additive. It is shown that the omission of retardation is a better approximation in the magnetic case than in the electric case due to the fact that the magnetic proper frequencies ω0m appearing in the Lorentz dispersion relation are much lower than the electric proper frequencies ω0e. Our formalism is generalized also to the case of finite temperatures.

Suggested Citation

  • Brevik, I. & Skurdal, H., 1993. "Van der Waals attraction between spherical voids in a magnetic medium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(3), pages 412-430.
    • Handle: RePEc:eee:phsmap:v:199:y:1993:i:3:p:412-430
    DOI: 10.1016/0378-4371(93)90057-B
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    Cited by:

    1. Brevik, I., 1995. "The interaction between two bags due to fluctuating colour fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 216(1), pages 140-147.
    2. Nyland, G.H. & Brevik, I., 1994. "Van der Waals interaction between two cylinders in a magnetic fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 202(1), pages 81-93.

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