Phase Diagram and Thermodynamic and Dynamic Anomalies in a Pure   Repulsive Model
  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. 
Andressa A. Bertolazzo and Marcia C. Barbosa
cond-mat.stat-mech