Confirmation of high flow rate chaos in the Belousov-Zhabotinsky reaction

Laszlo Györgyi, Richard J. Field, Z. Noszticzius, William D. McCormick, Harry L. Swinney

Research output: Contribution to journalArticle

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Abstract

Past experiments and simulations on the Belousov-Zhabotinsky (BZ) reaction clearly demonstrated the existence of chaos in stirred flow reactors at low flow rates. However, the existence of chaos at high flow rates has remained the subject of controversy. The controversy is resolved by the present experiments at high flow rates, which accurately reproduce the complex sequence of periodic, complex periodic, and chaotic states observed by Hudson and co-workers (Hudson et al., 1979; Hudson and Mankin, 1981); the flow rates observed here for the different dynamical regimes agree with those of Hudson et al. within a few percent. This striking reproducibility of the complex periodic and chaotic dynamics is found to be insensitive to stirring rate size of the reactor, purity of the reagents, temperature, and type of pumping (peristaltic or piston pumps, premixed or nonpremixed feeds). Moreover, the observed sequence is reproduced qualitatively by a four-variable model of the BZ reaction. Thus this work provides definitive evidence for the existence of deterministic chaos in the BZ reaction at high flow rates. We conclude that past descriptions of aperiodic behavior at high flow rates in terms of various stochastic mechanisms, including incomplete mixing or switching between adjacent periodic states, are inappropriate for the conditions of the Hudson's experiments.

Original languageEnglish
Pages (from-to)1228-1233
Number of pages6
JournalJournal of Physical Chemistry
Volume96
Issue number3
Publication statusPublished - 1992

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Chaos theory
chaos
flow velocity
Flow rate
reactors
Reciprocating pumps
Experiments
stirring
pistons
reagents
purity
pumping
pumps
simulation
Temperature
temperature

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

Cite this

Györgyi, L., Field, R. J., Noszticzius, Z., McCormick, W. D., & Swinney, H. L. (1992). Confirmation of high flow rate chaos in the Belousov-Zhabotinsky reaction. Journal of Physical Chemistry, 96(3), 1228-1233.

Confirmation of high flow rate chaos in the Belousov-Zhabotinsky reaction. / Györgyi, Laszlo; Field, Richard J.; Noszticzius, Z.; McCormick, William D.; Swinney, Harry L.

In: Journal of Physical Chemistry, Vol. 96, No. 3, 1992, p. 1228-1233.

Research output: Contribution to journalArticle

Györgyi, L, Field, RJ, Noszticzius, Z, McCormick, WD & Swinney, HL 1992, 'Confirmation of high flow rate chaos in the Belousov-Zhabotinsky reaction', Journal of Physical Chemistry, vol. 96, no. 3, pp. 1228-1233.
Györgyi, Laszlo ; Field, Richard J. ; Noszticzius, Z. ; McCormick, William D. ; Swinney, Harry L. / Confirmation of high flow rate chaos in the Belousov-Zhabotinsky reaction. In: Journal of Physical Chemistry. 1992 ; Vol. 96, No. 3. pp. 1228-1233.
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