Abstract
The rate equations of a model of certain autocatalytic chemical reaction which is extremely far from the thermodynamic equilibrium are represented by the non-linear differential equations of Volterra type. By using the stochastic model of this chemical reaction system, the sample processes of the reaction process are traced by computer simulation and the characteristic behaviour can be analyzed by the statistical analysis of the sample process without any difficulty resulting from non-linearity of the reaction system. That is, the behaviour of the reaction process near the stationary state shows the qualitative nature of the result from the linearized equation of the deterministic rate equation, but the reaction process far from the stationary state behaves in essentially different way from that of `near the stationary state.'
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