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Equation of state in the fugacity format for the two-dimensional Coulomb gas

Gabriel Tellez
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Abstract

We derive the exact general form of the equation of state, in the fugacity format, for the two-dimensional Coulomb gas. Our results are valid in the conducting phase of the Coulomb gas, for temperatures above the Kosterlitz-Thouless transition. The derivation of the equation of state is based on the knowledge of the general form of the short-distance expansion of the correlation functions of the Coulomb gas. We explicitly compute the expansion up to order $O(ζ^6)$ in the activity $ζ$. Our results are in very good agreement with Monte Carlo simulations at very low density.

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Gabriel Tellez. 2006-09-14. Equation of state in the fugacity format for the two-dimensional Coulomb gas. https://doi.org/10.1007/s10955-006-9251-3

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