Abstract
We study the equilibrium properties of a generalized lattice gas as applied to the cooperative phenomena of superionic conductors. For a model describing interacting Frenkel defects with various degeneracies we discuss the competing effects of degeneracy and interaction. The phase diagram is computed within mean field theory and the possibility of first order, second order and continuous transitions is shown. For a one dimensional model with two sites and different degeneracies we derive explicit exact results for the site occupancies as functions of temperature. Finally we consider the effect of long range (coulomb) interactions for the site occupancy correlation in a partly filled ionic channel. This effect is shown to be relevant and not reproducible by effective short range interactions.
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References
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Pietronero, L., Strässler, S. Cooperative phenomena in superionic conductors within generalized lattice gas models. Z Physik B 32, 339–346 (1979). https://doi.org/10.1007/BF01351514
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DOI: https://doi.org/10.1007/BF01351514