par Boon, Jean-Pierre 
;Dab, David ;Kapral, Raymond ;Lawniczak, Anna
Référence Physics Reports, 273, 2, page (55-147)
Publication Publié, 1996
;Dab, David ;Kapral, Raymond ;Lawniczak, AnnaRéférence Physics Reports, 273, 2, page (55-147)
Publication Publié, 1996
Article révisé par les pairs
| Résumé : | Reactive lattice gas automata provide a microscopic approach to the dynamics of spatially-distributed reacting systems. An important virtue of this approach is that it offers a method for the investigation of reactive systems at a mesoscopic level that goes beyond phenomenological reaction-diffusion equations. After introducing the subject within the wider framework of lattice gas automata (LGA) as a microscopic approach to the phenomenology of macroscopic systems, we describe the reactive LGA in terms of a simple physical picture to show how an automaton can be constructed to capture the essentials of a reactive molecular dynamics scheme. The statistical mechanical theory of the automaton is then developed for diffusive transport and for reactive processes, and a general algorithm is presented for reactive LGA. The method is illustrated by considering applications to bistable and excitable media, oscillatory behavior in reactive systems, chemical chaos and pattern formation triggered by Turing bifurcations. The reactive lattice gas scheme is contrasted with related cellular automaton methods and the paper concludes with a discussion of future perspectives. |
