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

TL;DR

This paper investigates a one-dimensional lattice gas with repulsive interactions, revealing waterlike anomalies in thermodynamic and kinetic properties, explained through residual entropy associated with ground state phase transitions.

Contribution

It introduces a simple 1D lattice gas model exhibiting waterlike anomalies and provides a unified thermodynamic explanation based on residual entropy.

Findings

Exhibits waterlike density and diffusion anomalies

Shows anomalies linked to ground state residual entropy

Uses transfer matrix and Monte Carlo methods

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.