Author： Jancovici B. Šamaj L.
Publisher： Springer Publishing Company
ISSN： 0022-4715
Source： Journal of Statistical Physics, Vol.104, Iss.3-4, 2001-08, pp. : 753-775
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Abstract
A two-component Coulomb gas confined by walls made of ideal dielectric material is considered. In two dimensions at the special inverse temperature β=2, by using the Pfaffian method, the system is mapped onto a four-component Fermi field theory with specific boundary conditions. The exact solution is presented for a semi-infinite geometry of the dielectric wall (the density profiles, the correlation functions) and for the strip geometry (the surface tension, a finite-size correction of the grand potential). The universal finite-size correction of the grand potential is shown to be a consequence of the good screening properties, and its generalization is derived for the conducting Coulomb gas confined in a slab of arbitrary dimension 2 at any temperature.
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