Glass transition in the hard sphere system
The glass transition in a hard sphere system is studied numerically, using a model free energy functional that exhibits glassy local minima at sufficiently high densities. The numerical methods used in our work include free-energy minimization, direct integration of Langevin equations and Monte Carlo simulation. At relatively low densities, the system is found to fluctuate near the uniform liquid minimum of the free energy and to exhibit mode-coupling behavior. At densities higher than a first crossover density, the dynamics is governed by thermally activated transitions between glassy free-energy minima. The typical time scale for such transitions grows very rapidly as a second crossover density is approached from below. Interpretation of existing molecular dynamics data in the light of our results is discussed.
KeywordsFree Energy Glass Transition Langevin Equation Mode Coupling Theory Langevin Dynamic
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