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

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

2006-09-14

arxiv.org/abs/cond-mat/0609356v1

J. Stat. Phys. 126, 281 (2007)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1007/s10955-006-9251-3

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 $O(\zeta^6)$ in the activity $\zeta$. Our results are in very good agreement with Monte Carlo simulations at very low density.

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