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Criticality and phase transitions in ionic fluids

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Abstract

Recent experimental investigations of criticality and phase separation in ionic fluids have revealed behavior of great theoretical interest. In seeking to understand the experiments, some of which appear to exhibit argonlike criticality and some of which exhibit “classical” (mean-field) criticality, a convenient starting point is the restricted primitive model (RPM) of symmetrically charged hard spheres, all of equal diameter σ, each sphere bearing a positive or negative charge of magnitudeq. There is overall charge neutrality, so that the expected number densities of the anions and cations are equal,ρ +=ρ -. Studies of RPM charge-charge and density-density correlation functions indicate that the fluctuation-suppressing mechanism that yields mean-field critical behavior in nonionic systems with long-range interparticle potentials is not operative in the RPM. On the basis of plausible assumptions, Ising-like behavior is instead expected. The above work is summarized. New work of Zhang and the author is outlined, showing that when one loses the RPM symmetry (through, e.g., different valence, diameter, or dipole moment of anions and cations) a strong coupling between charge-charge and density-density correlation ensues. The way in which this can be expected to give rise to mean-field or mean-field-like behavior is noted. Other new observations concern the mean-field analogy found by Høye and the author between the parameter 2/(d−2) (d is the dimensionality) in that model and the monomer number in high polymers, with respect to the coexistence-curve shape dependence on those parameters.

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  1. George Stell

    Present address: Department of Chemistry, State University of New York at Stony Brook, 11794, Stony Brook, New York

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  1. Gruppe for Teoretisk Fysikk, Universitetet i Trondheim, 7034, Trondheim-NTH, Norway

    George Stell

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Stell, G. Criticality and phase transitions in ionic fluids. J Stat Phys 78, 197–238 (1995). https://doi.org/10.1007/BF02183346

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