Using Monte Carlo simulation and fundamental measure theory we study the phase diagram of atwo-dimensional lattice gas model with a nearest neighbor hard core exclusion and a next-to-nearestneighbor finite repulsive interaction. The model presents two competing ranges of interaction and,in common with many experimental systems, exhibits a low density solid phase, which melts backto the fluid phase upon compression. The theoretical approach is found to provide a qualitativelycorrect picture of the phase diagram of our model system.
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