Thermodynamic and kinetic coupling of a random grid cellular automaton for the simulation of grain growth

Abstract

The application of cellular automata for the simulation of grain growth has always suffered from the drawback that a universal coupling between the simulation increments and the real world time step did not exist. This drawback limits the potential of the approach to the solution of academic and qualitative analyses, as real world predictions are not feasible. The current paper illustrates that such an increment-to-time-space link can be accomplished when using a random grid based statistical cellular automaton. A method is proposed to implement the coupling in the cellular automaton, and simulations illustrating the time coupling are presented.