Universality, multiplicity, and the effect of iron impurities in the Belousov-Zhabotinskii reaction

K. G. Coffman, W. D. McCormick, Z. Noszticzius, Reuben H. Simoyi, Harry L. Swinney

Research output: Contribution to journalArticle

70 Citations (Scopus)

Abstract

In experiments on the Belousov-Zhabotinskii reaction in a flow reactor we have observed dynamical behavior that is described well by one-dimensional maps with a single maximum. A sequence of period doubling bifurcations was observed as a parameter was varied, and beyond the accumulation point for the period doubling sequence there was a sequence of periodic states that has the same symbolic dynamics as the states of the U (universal) sequence of Metropolis, Stein, and Stein (1973). However, in another experiment with malonic acid from a different vendor, we found that some states with particular symbol sequences occurred in three different parameter ranges rather than in one range as in the U sequence. Analysis of the effect of impurities in the reagents showed that some impurities (e.g., Fe3+ and esters of malonic acid) at concentrations of only a few ppm produced dramatic changes in the dynamics; such impurities are contained in commercially available malonic acid. Experiments with purified malonic acid indicate that the Fe2+/Fe3+ and Cu+/Cu2+ redox couples act as cocatalysts of the Belousov-Zhabotinskii reaction; their effect can be explained by a free radical mechanism. Other metal ions (e.g., Ni2+ and Co2+) at low concentrations have negligible effect on the dynamics. Finally, both the sequences with universal ordering and the sequences with multiplicity are described well by indented trapezoid maps of the type analyzed by Beyer, Mauldin, and Stein (1986).

Original languageEnglish
Pages (from-to)119-129
Number of pages11
JournalThe Journal of Chemical Physics
Volume86
Issue number1
DOIs
Publication statusPublished - Jan 1 1987

    Fingerprint

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

Cite this