Lattice Models of Ionic Systems with Charge Asymmetry

Details Lattice Models of Ionic Systems with Charge Asymmetry Lattice Models of Ionic Systems with Charge Asymmetry

2002-12-11

arxiv.org/abs/cond-mat/0212258v1

Physics

Condensed Matter

Statistical Mechanics

submitted to J.Chem.Phys

Scientific paper

10.1063/1.1558311

The thermodynamics of a charge-asymmetric lattice gas of positive ions carrying charge $q$ and negative ions with charge $-zq$ is investigated using Debye-H\"uckel theory. Explicit analytic and numerical calculations, which take into account the formation of neutral and charged clusters and cluster solvation by the residual ions, are performed for $z=2$, 3 and 4. As charge asymmetry increases, the predicted critical point shifts to lower temperatures and higher densities. This trend agrees well with the results from recent Monte Carlo simulations for continuum charge-asymmetric hard-sphere ionic fluids and with the corresponding predictions from continuum Debye-H\"uckel theory.

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