Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-12-09
Phys. Rev. E 81, 031505 (2010)
Physics
Condensed Matter
Statistical Mechanics
11 pages, 8 figures
Scientific paper
10.1103/PhysRevE.81.031505
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.
Berthier Ludovic
Flenner Elijah
Jacquin Hugo
Szamel Grzegorz
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