Coulomb Systems with Ideal Dielectric Boundaries: Free Fermion Point and Universality

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dc.creatorJancovici, B.
dc.creatorŠamaj, L.
dc.date2001-01-04
dc.date.accessioned2026-07-07T02:39:56Z
dc.date.available2026-07-07T02:39:56Z
dc.descriptionA 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 $\ge 2$ at any temperature.
dc.description23 pages, Latex
dc.identifierhttps://arxiv.org/abs/cond-mat/0101046
dc.identifierhttp://arxiv.org/abs/cond-mat/0101046
dc.identifierJ.Statist.Phys. 104 (2001) 755-777
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17218
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleCoulomb Systems with Ideal Dielectric Boundaries: Free Fermion Point and Universality
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