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This articles presents a simulation study of the applicability of theRosenfeld entropy scaling to the systems which can not be approximated byeffective hard spheres. Three systems are studied: Herzian spheres, Gauss CoreModel and soft repulsive shoulder potential. These systems demonstrate thediffusion anomalies at low temperatures: the diffusion increases withincreasing density or pressure. It is shown that for the first two systemswhich belong to the class of bounded potentials the Rosenfeld scaling formulais valid only in the infinite temperature limit where there are no anomalies.For the soft repulsive shoulder the scaling formula is valid already atsufficiently low temperatures, however, out of the anomaly range.

Breakdown of The Excess Entropy Scaling for the Systems with Thermodynamic Anomalies