The Monte-Carlo dynamics of a binary Lennard-Jones glass-forming mixture

Ludovic Berthier, Walter Kob
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 [...]

Monte Carlo, and Other Kinds of Stochastic Simulation

by Cosma
Monte Carlo is an estimation procedure. The basic idea is as follows. You want to know the average value of some random variable. You can’t work out what its distribution is, exactly, but you can take samples from that distribution. (The random variable may, for instance, be some complicated function [...]