2009/12/31 by Yu. D. Fomin, N. V. Gribova, V. N. Ryzhov
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Anomaly (physics) #Bounded function #Condensed matter physics #Diffusion #Entropy (arrow of time) #Geometry #Hard spheres #Material Dynamics and Properties #Mathematical analysis #Mathematics #Phase Equilibria and Thermodynamics #Physics #SPHERES #Scaling #Statistical physics #Thermodynamics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.81.061201
11 pages, 14 figures
arxiv created 2009/12/31 · openalex publication_date 2010/06/02 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.