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2 results

  • A NOTE ON TRAVELLING WAVES IN COMPETITIVE REACTION SYSTEMS

  • Part of
  • LAWRENCE K. FORBES
  • Journal:
    The ANZIAM Journal / Volume 55 / Issue 1 / July 2013
    Published online by Cambridge University Press:
    26 November 2013, pp. 1-13
    • Article
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  • This note considers an established reaction–diffusion model for a combustion system, in which there are competing endothermic and exothermic reaction pathways. A combustion front is assumed to move at constant speed through the medium. An asymptotic theory is presented for solid fuels in which material diffusion is ignored, and it allows a simple and complete analysis of the approximate system in the phase plane. Both the adiabatic and nonadiabatic cases are discussed.

  • On the interpretation of random fluctuations in competing chemical systems

  • Peter Hall
  • Journal:
    Journal of Applied Probability / Volume 20 / Issue 4 / December 1983
    Published online by Cambridge University Press:
    14 July 2016, pp. 877-883
    Print publication:
    December 1983

  • Several stochastic models have been proposed to describe the kinetic theory of reversible chemical reactions. However, in macroscopic systems the effects of stochastic variability are often outweighed by mean effects. In the present paper we show that some observed phenomena can be explained quite adequately by a stochastic model in which the stochastic variability is not negligible in comparison with mean effects. Our argument involves approximations to a stochastic model for competing chemical reactions.