Experiments and modeling of the Belousov-Zhabotinsky reaction with 1,4-cyclohexanedione and ferroin

Persistent Link:
http://hdl.handle.net/10150/282877
Title:
Experiments and modeling of the Belousov-Zhabotinsky reaction with 1,4-cyclohexanedione and ferroin
Author:
Chen, Gang
Issue Date:
1999
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
We describe some observations during the induction period (IP) of a Belousov-Zhabotinsky (BZ) system with 1,4-cyclohexanedione (CHD) and ferroin in batch reactor. There are three stages during the whole course of the reaction: transitional period, the IP, and the post-IP. Two bifurcations are observed in this unique system: It starts with monostability (orange reduced steady-state) during the transitional period, switches to bistability (both blue oxidized and orange reduced steady-states) during the IP, and then eventually bifurcates to monostability (orange reduced steady-state) during the end of the IP. The stable orange steady-state is always excitable during the whole course of the reaction. The stable blue steady-state is not excitable during the blue IP: pulses cannot propagate and pacemakers cannot survive during this interval. As the medium ages, waves decrease their propagation speed except for the reduction step that speeds up during the end of the IP. We also investigate the change of ferroin and ferriin concentrations and photosensitivity during the IP. We find no analog to the situation suggested in the bromate-MA-ruthenium system, in that the oxidized state is experimentally excluded as the photosensitive species in this bromate-CHD-ferroin system. We construct here an Oregonator-like model that interprets the unique reduction step propagation before the second bifurcation. Based on the FKN mechanism with, we consider three reverse reactions, a breakdown of skeletal process C in the FKN model into three reactions with the addition of the hydrolysis of BrCHD. The model thus constructed endows bistability in some region of its parameter plane. We give a tentative interpretation of the differentiated speed between the reduction step propagation and that of the pulses, but rigorous mathematical mechanism awaits further investigation.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Chemistry, Organic.; Chemistry, Physical.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Graduate College; Ecology and Evolutionary Biology
Degree Grantor:
University of Arizona
Advisor:
Winfree, Arthur T.

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleExperiments and modeling of the Belousov-Zhabotinsky reaction with 1,4-cyclohexanedione and ferroinen_US
dc.creatorChen, Gangen_US
dc.contributor.authorChen, Gangen_US
dc.date.issued1999en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractWe describe some observations during the induction period (IP) of a Belousov-Zhabotinsky (BZ) system with 1,4-cyclohexanedione (CHD) and ferroin in batch reactor. There are three stages during the whole course of the reaction: transitional period, the IP, and the post-IP. Two bifurcations are observed in this unique system: It starts with monostability (orange reduced steady-state) during the transitional period, switches to bistability (both blue oxidized and orange reduced steady-states) during the IP, and then eventually bifurcates to monostability (orange reduced steady-state) during the end of the IP. The stable orange steady-state is always excitable during the whole course of the reaction. The stable blue steady-state is not excitable during the blue IP: pulses cannot propagate and pacemakers cannot survive during this interval. As the medium ages, waves decrease their propagation speed except for the reduction step that speeds up during the end of the IP. We also investigate the change of ferroin and ferriin concentrations and photosensitivity during the IP. We find no analog to the situation suggested in the bromate-MA-ruthenium system, in that the oxidized state is experimentally excluded as the photosensitive species in this bromate-CHD-ferroin system. We construct here an Oregonator-like model that interprets the unique reduction step propagation before the second bifurcation. Based on the FKN mechanism with, we consider three reverse reactions, a breakdown of skeletal process C in the FKN model into three reactions with the addition of the hydrolysis of BrCHD. The model thus constructed endows bistability in some region of its parameter plane. We give a tentative interpretation of the differentiated speed between the reduction step propagation and that of the pulses, but rigorous mathematical mechanism awaits further investigation.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectChemistry, Organic.en_US
dc.subjectChemistry, Physical.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineEcology and Evolutionary Biologyen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorWinfree, Arthur T.en_US
dc.identifier.proquest9923178en_US
dc.identifier.bibrecord.b39471913en_US
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