Excluded volume effects on the diffusion-influenced reaction: The many-particle kernel approach

초록

In most theories of diffusion-influenced reactions, the reaction system is assumed to consist of a central reactant molecule surrounded by the other reactant molecules that pass each other freely. That is, excluded volumes among the like reactant molecules are neglected. We use the many-particle kernel formalism to investigate the effect of excluded volumes on the diffusion-influenced reaction. We obtain approximate analytic expressions for the many-particle kernel and the time profile of the survival probability of reactant molecules. The result is shown to be in good agreement with the Brownian dynamics simulation. (C) 2000 American Institute of Physics. [S0021-9606(00)51543-8].

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