Electrostrictive contribution to the Casimir effect in a dielectric sphere
β Scribed by I Brevik
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 921 KB
- Volume
- 138
- Category
- Article
- ISSN
- 0003-4916
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β¦ Synopsis
This paper develops the general formalism for calculating the electrostrictive contribution to the Casimir force (i.e., the force due to the fluctuations of the electromagnetic field) on a dielectric sphere. The medium is assumed nondispersive, and moreover assumed to satisfy the Clausius-Mossotti relation. Shear stresses are not taken into account. From ordinary electromagnetism it is known that the electrostriction effect gives the main contribution to the local pressure variation in a medium; its effect is greater than that arising from the forces acting in the inhomogeneous surface layers. Its inclusion in the Casimir formalism is therefore expected to be important. The electrostriction force is calculated explicitly (summed over all modes) in this paper in the limiting case of high permittivity. A characteristic feature is that the formal answer becomes cutoff dependent, such as was the case also in Milton's calculation of the ordinary electromagnetic surface force on the sphere. The remaining tinite terms yield, in the case of high permittivity, a large attractive electrostriction force. Some remarks are in the present paper made also on the case of dilute media, including a calculation of the I= 1 contribution to the force. Also, in this case one is confronted with cutoff terms in the formalism.
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