Inversion of Sequence of Diffusion and Density Anomalies in   Core-Softened Systems
  In this paper we present a simulation study of water-like anomalies in core-softened system introduced in our previous publications. We investigate the anomalous regions for a system with the same functional form of the potential but with different parameters and show that the order of the region of anomalous diffusion and the region of density anomaly is inverted with increasing the width of the repulsive shoulder. 
Yu. D. Fomin, E. N. Tsiok, V. N. Ryzhov
cond-mat.soft