# Numerical modelling of the one-dimensional diffusion by random walkers

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## 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

## Authors

C. Vamos
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

N. Suciu
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

M. Peculea

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## References

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## PDF

##### Cite this paper as:

C. Vamoş, N. Suciu, M. Peculea, Numerical modelling of the one-dimensional diffusion by random walkers, Rev. Anal. Numér. Théor. Approx., 26 (1997) nos. 1-2, 237-247

1222-9024

2457-8126