Breakdown of excess entropy scaling for systems with thermodynamic anomalies

This paper presents a simulation study of the applicability of the Rosenfeld entropy scaling to the systems which cannot be approximated by the effective hard spheres. Three systems are studied: the Herzian spheres, the Gauss core model, and a soft repulsive shoulder potential. These systems demonstrate diffusion anomalies at low temperatures: the diffusion coefficient increases with increasing density or pressure. It is shown that for the first two systems belonging to a class of bounded potentials, the Rosenfeld scaling formula is valid only in the infinite-temperature limit where there are no anomalies. For the soft repulsive shoulder potential, the scaling formula is valid already at sufficiently low temperatures, however, out of the anomaly range.