Numerical modelling of the one-dimensional diffusion by random walkers

Authors

  • C. Vamoş Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy
  • N. Suciu Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy
  • M. Peculea Romanian Academy

Keywords:

diffusion, cellular automata, continuous macroscopic description

Abstract

In this paper we describe a 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 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.

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Published

1997-08-01

How to Cite

Vamoş, C., Suciu, N., & Peculea, M. (1997). Numerical modelling of the one-dimensional diffusion by random walkers. Rev. Anal. Numér. Théor. Approx., 26(1), 237–247. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1997-vol26-nos1-2-art32

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