Residual entropy and waterlike anomalies in the repulsive one dimensional lattice gas

Abstract

The thermodynamic and kinetics of the one dimensional lattice gas with repulsive interaction is investigated using transfer matrix technique and Monte Carlo simulations. This simple model is shown to exhibit waterlike anomalies in density, thermal expansion coefficient and self diffusion. An unified description for the thermodynamic anomalies in this model is achieved based on the ground state residual entropy which appears in the model due to mixing entropy in a ground state phase transition.

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• Thermodynamic constraints and pseudotransition behavior in a one-dimensional water-like system
• Waterlike density anomaly in fermions
• Specific heat and density anomaly in the Hubbard model