The Monte-Carlo dynamics of a binary Lennard-Jones glass-forming mixture
  We use a standard Monte-Carlo algorithm to study the slow dynamics of a binary Lennard-Jones glass-forming mixture at low temperature. We find that Monte-Carlo is by far the most efficient way to simulate a stochastic dynamics since relaxation is about 10 times faster than in Brownian Dynamics and about 30 times faster than in Stochastic Dynamics. Moreover, the average dynamical behaviour of the system is in quantitative agreement with the one obtained using Newtonian dynamics, apart at very short times where thermal vibrations are suppressed. We show, however, that dynamic fluctuations quantified by four-point dynamic susceptibilities do retain a dependence on the microscopic dynamics, as recently predicted theoretically. 
Ludovic Berthier, Walter Kob