CASIMIR FREE-ENERGY OF A SPHERICAL CAVITY IN A DIELECTRIC MEDIUM

Authors
Citation
Am. Brodsky, CASIMIR FREE-ENERGY OF A SPHERICAL CAVITY IN A DIELECTRIC MEDIUM, Journal of mathematical physics, 38(10), 1997, pp. 5127-5142
Citations number
39
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00222488
Volume
38
Issue
10
Year of publication
1997
Pages
5127 - 5142
Database
ISI
SICI code
0022-2488(1997)38:10<5127:CFOASC>2.0.ZU;2-T
Abstract
An expression is derived for the Casimir free energy of a spherical ca vity in a polar dielectric medium at finite temperature. In the proces s of the derivation the general problem of infinities and their renorm alization in calculations of Casimir forces is analyzed. It is shown t hat the renormalized Casimir free energy has a minimum at a finite mes oscopic value of the cavity radius R=R-Min(Cas), with the repulsion fo r R <R-Min(Cas) and the attraction for R greater than or equal to R-Mi n(Cas). The implications of this result for the explanation of cavitat ion effects are discussed. (C) 1997 American Institute of Physics.