Numerical modelling of the one-dimensional diffusion by random walkers

Numerical modelling of the one-dimensional diffusion by random walkers

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In this paper we describe a Electric Cooktop numerical method of cellular automaton type to study the diffusion processes.The macroscopic diffusive behavior of a set of microscopic particles is obtained by the numerical simulation of particles motion as Combos random walkers.We derive the averaging space-time scale needed for a macroscopical description of the diffusion process with a given precision.As an application we estimate the evacuation time by diffusion of a given number of particles from a fluid layer.