Comparative analysis of Monte Carlo methods for simulations of complex dynamics in the lattice model of the chemical reaction
The complex oscillatory behaviour of the microscopic model of the chemical reaction on a catalyst surface is calculated by means of various Monte Carlo techniques. Five most popular algorithms are used to estimate the order of growth and real performance each of them. It is shown that the computation time can differ more than two orders of magnitude. The most efficient Monte Carlo algorithm was identified. Mechanisms of oscillations and waves were investigated on the microscopic level in the lattice model by means of this algorithm.