Density-Temperature-Softness Scaling of the Dynamics of Glass-forming Soft-sphere Liquids

• Published in: arXiv.org 2011-07
• Main Authors: Ramírez-González, Pedro E, López-Flores, Leticia, Acuña-Campa, Heriberto, Medina-Noyola, Magdaleno
• Format: Article
• Language: English
• Subjects: Density; Diffusion coefficient; Equivalence principle; Fluid dynamics; Glass; Glass formation; Liquids; Parameters; Relaxation time; Scaling; Self diffusion; Softness
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.1103.4781

The principle of dynamic equivalence between soft-sphere and hard-sphere fluids [Phys. Rev. E \textbf{68}, 011405 (2003)] is employed to describe the interplay of the effects of varying the density n, the temperature T, and the softness (characterized by a softness parameter {\nu}^{-1}) on the dynamics of glass-forming soft-sphere liquids in terms of simple scaling rules. The main prediction is that the dynamic parameters of these systems, such as the {\alpha}-relaxation time and the long-time self-diffusion coefficient, depend on n, T, and {\nu} only through the reduced density n^\ast \equiv n{\sigma}^{3}_{HS}(T, {\nu}),where the effective hard-sphere diameter {\sigma}_{HS}(T, {\nu}) is determined, for example, by the Andersen-Weeks-Chandler condition for soft-sphere-hard-sphere structural equivalence. A number of scaling properties observed in recent simulations involving glass-forming fluids with repulsive short range interactions are found to be a direct manifestation of this general dynamic equivalence principle. The self-consistent generalized Langevin equation (SCGLE) theory of colloid dynamics is shown to accurately capture these scaling rules