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Two-Dimensional Coulomb Systems in a Disk with Ideal Dielectric Boundaries

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Abstract

We study two-dimensional Coulomb systems confined in a disk with ideal dielectric boundaries. In particular we consider 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 found in the free energy of another solvable model: the one-component plasma.

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Authors and Affiliations

  1. Grupo de Física Teórica de la Materia Condensada, Departamento de Física, Universidad de Los Andes, A.A. 4976, Bogotá, Colombia

    Gabriel Téllez

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  1. Gabriel Téllez
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Téllez, G. Two-Dimensional Coulomb Systems in a Disk with Ideal Dielectric Boundaries. Journal of Statistical Physics 104, 945–970 (2001). https://doi.org/10.1023/A:1010493409399

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  • DOI: https://doi.org/10.1023/A:1010493409399

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