English

A New Class of Cellular Automata for Reaction-Diffusion Systems

comp-gas 2016-08-14 v1 Cellular Automata and Lattice Gases

Abstract

We introduce a new class of cellular automata to model reaction-diffusion systems in a quantitatively correct way. The construction of the CA from the reaction-diffusion equation relies on a moving average procedure to implement diffusion, and a probabilistic table-lookup for the reactive part. The applicability of the new CA is demonstrated using the Ginzburg-Landau equation.

Keywords

Cite

@article{arxiv.comp-gas/9305005,
  title  = {A New Class of Cellular Automata for Reaction-Diffusion Systems},
  author = {Jörg R. Weimar and Jean-Pierre Boon},
  journal= {arXiv preprint arXiv:comp-gas/9305005},
  year   = {2016}
}

Comments

4 pages, RevTeX 3.0 , 3 Figures 214972 bytes tar, compressed, uuencoded