Two-dimensional Coulomb Systems in a disk with Ideal Dielectric Boundaries

2001/03/06 by Gabriel Tellez
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf · doi:10.1023/a:1010493409399

published as J. Stat. Phys. 104, 945 (2001) · 29 pages, 8 figures

arxiv created 2001/03/06 · arxiv updated 2009/11/30

Abstract

We consider two-dimensional Coulomb systems confined in a disk with ideal dielectric boundaries. In particular we study the two-component plasma in detail. When the coulombic coupling constant Γ=2 the model is exactly solvable. We compute the grand-potential, densities and correlations. We show that the grand-potential has a universal logarithmic finite-size correction as predicted in previous works. This logarithmic finite-size correction is also checked in another solvable model: the one-component plasma.

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