Lattice models of ionic systems

  • Kobelev V
  • Kolomeisky A
  • Fisher M
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Abstract

A theoretical analysis of Coulomb systems on lattices in general dimensions is presented. The thermodynamics is developed using Debye�Huckel theory with ion-pairing and dipole�ion solvation, specific calculations being performed for three-dimensional lattices. As for continuum electrolytes, low-density results for simple cubic ~sc!, body-centered cubic ~bcc!, and face-centered cubic ~fcc! lattices indicate the existence of gas�liquid phase separation. The predicted critical densities have values comparable to those of continuum ionic systems, while the critical temperatures are 60�70 higher. However, when the possibility of sublattice ordering as well as Debye screening is taken into account systematically, order�disorder transitions and a tricritical point are found on sc and bcc lattices, and gas�liquid coexistence is suppressed. Our results agree with recent {M}onte Carlo simulations of lattice electrolytes.

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Authors

  • V Kobelev

  • A B Kolomeisky

  • M E Fisher

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