NEW MONTE-CARLO SIMULATIONS OF MANY-PARTICLE STOCHASTIC DYNAMICS - GROWTH OF CORRELATIONS AND LOCAL SELF-ORDERING DURING ANNIHILATION OF LIKE PARTICLES

This paper presents a new, general Monte Carlo method for simulation of the dynamics of a set of interacting and reacting particles, of several species, with individual events obeying Poisson statistics. The method is applied to the annihilation of like particles initially distributed at random on a cubic lattice and interacting by a tunneling law. The validity of some analytical results is related to the existence of several stages of the reaction with different small parameters. The simulations show growth of correlations and a tendency to local ordering of the surviving particles.