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

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

2001-03-06

arxiv.org/abs/cond-mat/0103122v1

J. Stat. Phys. 104, 945 (2001)

Physics

Condensed Matter

Statistical Mechanics

29 pages, 8 figures

Scientific paper

10.1023/A:1010493409399

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 $\Gamma=2$ 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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