Cellular-automaton model for reactive systems

Publication Type:

Journal Article

Authors:

Dab, D.; Lawniczak, A.; Boon, J.-P.; Kapral, R.

Source:

Physical Review Letters, Volume 64, Number 20, p.2462-2465 (1990)

URL:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0000459180&doi=10.1103%2fPhysRevLett.64.2462&partnerID=40&md5=1009bc13d0a067d6e874b0360bf9f49e

Abstract:

A method for constructing a variety of probabilistic lattice-gas cellular automata for chemically reacting systems is described. The microscopic reactive dynamics give rise to a general fourth-order polynomial rate law for the average particle density. The reduction of the microdynamical equations to a discrete or continuous Boltzmann equation is presented. Connection between the linearized Boltzmann equations and a reaction-diffusion macroscopic equation is discussed. As an example of the general formalism a set of cellular automata rules that yield the Schlögl phenomenological model is constructed. Simulation results are presented. © 1990 The American Physical Society.