Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-01-04
J. Stat. Mech. (2005) P05004
Physics
Condensed Matter
Statistical Mechanics
21 pages, 1 figure
Scientific paper
10.1088/1742-5468/2005/05/P05004
This paper is a continuation of a previous one [Jancovici and Samaj, 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-H\"uckel) limit and the Thirring free-fermion point. Similarities and fundamental differences between fully-finite and semi-infinite geometries are pointed out.
Jancovici Bernard
Samaj Ladislav
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