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'Screening' of universal van der Waals-Casimir terms by Coulomb gases in a fully finite two-dimensional geometry

Journal of Statistical Mechanics: Theory and Experiment, ISSN: 1742-5468, Vol: 2005, Issue: 5, Page: 69-89
2005
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Review Description

This paper is a continuation of a previous one (Jancovici and Šamaj, 2004 J. Stat. Mech. P08006) dealing with classical Casimir phenomena in semi-infinite wall geometries. In that paper, using microscopic Coulomb systems, the long-ranged Casimir force due to thermal fluctuations in conducting walls was shown to be screened by the presence of an electrolyte between the walls into some residual short-ranged force. Here, we aim to extend the study of the screening (cancellation) phenomena to universal Casimir terms appearing in the large-size expansions of the grand potentials for microscopic Coulomb systems confined in fully finite 2D geometries, in particular the disc geometry. Two cases are solved exactly: the high-temperature (Debye-Hückel) limit and the Thirring free-fermion point. Similarities and fundamental differences between fully finite and semi-finite geometries are pointed out. © IOP Publishing Ltd.

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