Computer Experiments for Surface Diffusion: The Real Time in Monte Carlo Simulation

A new algorithm for real time in Monte Carlo simulations is proposed, and a computer experiment is designed to test its validity. The computational difficulties due to inherent "noise" in the data from chemical diffusion coefficient calculations are overcome. Thus smooth curves of the concentration against $x$ and the chemical diffusion coefficient against concentration are obtained with reasonable computational effort. One of the calculated results reveals that the ordered region is related to the minimal chemical diffusion coefficient there.