Phase transitions for Belousov–Zhabotinsky reactions

✍ Scribed by Tian Ma; Shouhong Wang

• Book ID: 102512409
• Publisher: John Wiley and Sons
• Year: 2011
• Tongue: English
• Weight: 246 KB
• Volume: 34
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.1446

✦ Synopsis

Communicated by J. Banasiak

The main objective of this article is to study the dynamic phase transitions associated with the spatial-temporal oscillations of the BZ reactions, given by Field, Körös and Noyes, also referred as the Oregonator. Two criteria are derived to determine (1) the existence of either multiple equilibria or spatiotemporal oscillations and (2) the types of transitions. These criteria gives a complete characterization of the dynamic transitions of the BZ systems from the homogeneous states. The analysis is carried out using a dynamic transition theory developed recently by the authors, which has been successfully applied to a number of problems in science.