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

Gabriel Tellez
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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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Gabriel Tellez. 2001-03-06. Two-dimensional Coulomb Systems in a disk with Ideal Dielectric Boundaries. https://doi.org/10.1023/a%3A1010493409399

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