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A formulation of stochastic approach to chemical kinetics is presented in a general form. The formulation is constructed based on the probability of the first reaction time, so that it can be applied to more general cases in which, for instance, the rate of reaction is given by a function of time. As a special example, bimolecular reaction process in liquid medium is considered and explicit formulae to analyze the space and time correlations of the process as a many-particle system are derived. The relation with usual stochastic equation of chemical kinetics is also discussed.
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Teramoto et al. (1970) studied this question.
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