A computer-simulation study of the behaviour of the Haven ratio near order/disorder transitions in highly defective solids

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Abstract
Monte Carlo results are presented for the Haven ratio in the square planar lattice gas with nearest-neighbour exclusion and the square planar lattice gas with nearest-neighbour repulsion and next-nearest-neighbour attraction with the latter at a temperature less than the critical temperature at 50% occupation. Unlike the simple cubic athermal lattice gas studied earlier, a minimum in Hr occurs at concentrations less than the critical concentration because of a percolation requirement. The lattice gas with finite interactions shows turning points at the phase transitions with apparent accompanying changes in the percolation behaviour and diffusion mechanism.