Scaling of the glassy dynamics of soft repulsive particles: a mode-coupling approach Auteur(s): Berthier L., Flenner Elijah, Jacquin Hugo, Szamel G. (Article) Publié: Physical Review E: Statistical, Nonlinear, And Soft Matter Physics, vol. 81 p.031505 (2010) Texte intégral en Openaccess : Ref HAL: hal-00597603_v1 PMID 20365738 Ref Arxiv: 0912.1738 DOI: 10.1103/PhysRevE.81.031505 WoS: 000276199300058 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 25 Citations Résumé: We combine the hyper-netted chain approximation of liquid state theory with the mode-coupling theory of the glass transition to analyze the structure and dynamics of soft spheres interacting via harmonic repulsion. We determine the locus of the fluid-glass dynamic transition in a temperature -- volume fraction phase diagram. The zero-temperature (hard sphere) glass transition influences the dynamics at finite temperatures in its vicinity. This directly implies a form of dynamic scaling for both the average relaxation time and dynamic susceptibilities quantifying dynamic heterogeneity. We discuss several qualitative disagreements between theory and existing simulations at equilibrium. Our theoretical results are, however, very similar to numerical results for the driven athermal dynamics of repulsive spheres, suggesting that 'mean-field' mode-coupling approaches might be good starting points to describe these nonequilibrium dynamics. Commentaires: 11 pages, 8 figures Journal: Phys. Rev. E 81, 031505 (2010) |