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Ionic criticality : an exactly soluble model

Jean-Noel Aqua, Michael E. Fisher

cond-mat.stat-mecharXiv:cond-mat/0311478

Abstract

Gas-liquid criticality in ionic fluids is studied in exactly soluble spherical models that use interlaced sublattices to represent hard-core multicomponent systems. Short range attractions in the uncharged fluid drive criticality but charged ions do not alter the universality class. Debye screening remains exponential at criticality in charge-symmetric 1:1 models. However, asymmetry couples charge and density fluctuations in a direct manner: the charge correlation length then diverges precisely as the density correlation length and the Stillinger-Lovett rule is violated at criticality.

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