Random walkers cellular automata for diffusion processes

Authors
Vamos, C Suciu, N Vereecken, H Jaekel, U Schwarze, H
Citation
C. Vamos et al., Random walkers cellular automata for diffusion processes, Z ANG MA ME, 80, 2000, pp. S367-S368
Citations number
7
Categorie Soggetti
Mechanical Engineering
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
ISSN journal
00442267 → ACNP
Volume
80
Year of publication
2000
Supplement
2
Pages
S367 - S368
Database
ISI
SICI code
0044-2267(2000)80:<S367:RWCAFD>2.0.ZU;2-R
Abstract
Smooth concentration fields and balance equations for systems of random wal kers are obtained by using the coarse-grained space-time averaging method f rom [5] and averages over the statistical ensemble. This yields a new cellu lar automaton numerical model for diffusion processes. The number of partic les and the averaging space-time scale needed to approximate the concentrat ion, with a given precision, are obtained. Applications were made for syste ms with small concentrations and diffusion in random fields.