Spatiotemporal reaction-diffusion patterns emerging on cylindrical surfaces due to global coupling

Citation
I. Savin et al., Spatiotemporal reaction-diffusion patterns emerging on cylindrical surfaces due to global coupling, J CHEM PHYS, 115(16), 2001, pp. 7678-7684
Citations number
20
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physical Chemistry/Chemical Physics
Journal title
JOURNAL OF CHEMICAL PHYSICS
ISSN journal
0021-9606 → ACNP
Volume
115
Issue
16
Year of publication
2001
Pages
7678 - 7684
Database
ISI
SICI code
0021-9606(20011022)115:16<7678:SRPEOC>2.0.ZU;2-8
Abstract
A condensed polynomial model, that captures the main features of high- or l ow-pressure catalytic oscillations, is used to simulate spatiotemporal patt erns in a cylindrical catalytic surface. This model includes a single autoc atalytic variable (activator) and a slow changing and localized inhibitor s ubject to a global interaction mechanism which maintains the spatial averag e of the activator at the set point. While for very short (small length L) or very narrow (small perimeter P) cylinders the pattern preserves the stru ctures of the corresponding one-dimensional problems (a ring or a wire), tw o-dimensional patterns emerge for comparable L and P showing a large multip licity of spatiotemporal behavior because of a very high sensivity to initi al conditions. The effect of kinetic parameters and system size is studied. Approximate solutions for the bifurcation from one- to two-dimension patte rns are derived. (C) 2001 American Institute of Physics.