Abstract
We present an exact field theoretical representation of the statistical mechanics of classical hard-core Coulomb systems. This approach generalizes the usual sine-Gordon theory valid for point-like charges or lattice systems to continuous Coulomb fluids with additional short-range interactions. This formalism is applied to derive the equation of state of the restricted primitive model of electrolytes in the low fugacity regime up to order ρ5/2 (ρ number density). We recover the results obtained by Haga by means of Mayer graphs expansions.
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Caillol, JM., Raimbault, JL. Sine-Gordon Theory for the Equation of State of Classical Hard-Core Coulomb Systems. I. Low Fugacity Expansion. Journal of Statistical Physics 103, 753–776 (2001). https://doi.org/10.1023/A:1010396502815
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DOI: https://doi.org/10.1023/A:1010396502815