Bromide Control, Bifurcation and Activation in the Belousov−Zhabotinsky Reaction

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• 作者：Harold M. Hastings ; Sabrina G. Sobel ; Richard J. Field ; Dominick Bongiovi ; Brianna Burke ; Daniel Richford ; Kara Finzel ; Melissa Garuthara
• 刊名：Journal of Physical Chemistry A
• 出版年：2008
• 出版时间：May 29, 2008
• 年：2008
• 卷：112
• 期：21
• 页码：4715 - 4718
• 全文大小：388K
• 年卷期：v.112,no.21(May 29, 2008)
• ISSN：1520-5215

文摘

The unstirred, ferroin (Fe(phen)₃²⁺) catalyzed Belousov−Zhabotinsky (BZ) reaction is the prototype oscillatory chemical system. Reaction media with added Br⁻ appear red (reduced, low [Fe(phen)₃³⁺]) during an induction period of several minutes, followed by the “spontaneous” formation of “pacemaker” sites, which oscillate between a blue, oxidized state (high [Fe(phen)₃³⁺]) and the red, reduced state and generate target patterns of concentric, outwardly moving waves of oxidation (blue). Auto-oscillatory behavior is also seen in the Oregonator model of Field, Kõrös and Noyes (FKN), a robust, reduced model that captures qualitative BZ kinetics in the auto-oscillatory regime. However, the Oregonator model predicts a blue (oxidized) induction phase. Here we develop a generalized Oregonator-like model with no explicit bifurcation parameter that yields the observed transition from a red initial state to oscillatory dynamics, and displays a new bifurcation mechanism not seen in the original Oregonator.