THERMAL-ACTIVATION EFFECTS IN REACTION-DIFFUSION MODELS - A 2-COMPONENT BISTABLE SYSTEM .1.

Citation
He. Ferrari et Dh. Zanette, THERMAL-ACTIVATION EFFECTS IN REACTION-DIFFUSION MODELS - A 2-COMPONENT BISTABLE SYSTEM .1., Physica. A, 233(1-2), 1996, pp. 407-418
Citations number
21
Categorie Soggetti
Physics
Journal title
ISSN journal
03784371
Volume
233
Issue
1-2
Year of publication
1996
Pages
407 - 418
Database
ISI
SICI code
0378-4371(1996)233:1-2<407:TEIRM->2.0.ZU;2-C
Abstract
We study a two-component bistable reaction-diffusion system arising in a model for a simple reversible chemical reaction subject to the effe ct of thermal activation and energy production and dissipation. Some m athematical simplications enables the analytical resolution of the cor responding reaction-diffusion equation set in a variety of situations. As a first step, we analyze the evolution of the system in spatially homogeneous conditions. This makes it possible to detect the parameter regions where bistability occurs, identifying the physical conditions under which two stable states exist. Then, we study shape-preserving wave-front solutions. These fronts should stand for the motion of doma in walls, formed during the self-organizing stage of the evolution.