Sine-Gordon theory for the equation of state of classical hard-core Coulomb systems. I Low fugacity expansion

J. -M. Caillol; J. -L. Raimbault

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Sine-Gordon theory for the equation of state of classical hard-core Coulomb systems. I Low fugacity expansion

J. -M. Caillol·J. -L. Raimbault

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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 $ρ^{5/2}$ ($ρ$ number density). We recover the results obtained by Haga by means of Mayer graphs expansions.

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J. -M. Caillol, J. -L. Raimbault. 2001-04-10. Sine-Gordon theory for the equation of state of classical hard-core Coulomb systems. I Low fugacity expansion. https://arxiv.org/abs/cond-mat/0104173

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