Order and localization in reaction-diffusion pattern

Autor:	David M. Holloway, Lionel G. Harrison
Rok vydání:	1995
Předmět:	Statistics and Probability Work (thermodynamics) Brusselator Order (biology) Chemistry Nonlinear kinetics Reaction–diffusion system Thermodynamics Pattern formation Diffusion (business) Condensed Matter Physics
Zdroj:	Physica A: Statistical Mechanics and its Applications. 222:210-233
ISSN:	0378-4371
DOI:	10.1016/0378-4371(95)00202-2
Popis:	The present work is concerned with two aspects of pattern formation: pattern localization and degree of pattern order. In reaction-diffusion models, there are three major effects. These stem from the reaction terms, the diffusion terms and the presence or absence of precursor gradients. Global analysis of reaction terms at late stages of pattern formation is at present unavailable. Therefore, we study the effect of the diffusion terms and of precursor gradients with numerical solution in two models: the Brusselator and the Gierer-Meinhardt. Differences in response to changes in the diffusion terms and the precursor gradients are related to contrasts between the nonlinear kinetics of the two models. These models both have Hill coefficient 2; effects of higher cooperativities have recently been discussed by Hunding and Engelhardt [1].
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5c11a1a18a10ebace054f1a9d5a8e21d https://doi.org/10.1016/0378-4371(95)00202-2 Zobrazit plný text záznamu Full Text from ScienceDirect