Using Monte Carlo simulations a lattice gas model with only repulsive interactions was checked for the presence of anomalies. We show that this system exhibits the density (temperature of maximum density - TMD) and diffusion anomalies as present in liquid water. These anomalous behavior exist in the region of the chemical potential vs temperature phase diagram where two structured phases are present. A fragile-to-strong dynamic transition is also observed in the vicinity of the TMD line.
@article{arxiv.1402.0908,
title = {Phase Diagram and Thermodynamic and Dynamic Anomalies in a Pure Repulsive Model},
author = {Andressa A. Bertolazzo and Marcia C. Barbosa},
journal= {arXiv preprint arXiv:1402.0908},
year = {2016}
}