Mathematical model of the Bray-Liebhafsky oscillations

Richard M. Noyes, Leonid V. Kalachev, Richard J. Field

Research output: Contribution to journalArticlepeer-review

Abstract

Processes which reduce IO3- to I2 and O2 and which oxidize I2 to IO3- in an aqueous, moderately acidic medium may alternate in dominance during iodate ion catalysis of the disproportionation of H2O2 to H2O and O2. We have used a skeleton mechanism proposed previously to develop a model of this system based on only two concentration variables, [I2] and [O2], and three composition parameters. The properties of this model are explored both analytically and numerically. Numerical integration for certain parameter values shows oscillation of [O2] and [I2] around an unstable steady state. However, while these oscillations can be quite long-lived, they take place around a stable or unstable focus and do not involve a true limit cycle. The changes of parameter values which cause the steady state to be stable or oscillatory are consistent with the experimental effects of changing acidity or stirring rate. Although the behavior of our mathematical model is remarkably consistent with our experimental observations, we can not claim to have developed a complete elucidation of the mechanism of the overall reaction.

Original languageEnglish
Pages (from-to)3514-3520
Number of pages7
JournalJournal of Physical Chemistry
Volume99
Issue number11
DOIs
StatePublished - 1995

Fingerprint

Dive into the research topics of 'Mathematical model of the Bray-Liebhafsky oscillations'. Together they form a unique fingerprint.

Cite this