J. Lee et al., Excluded volume effects on the diffusion-influenced reaction: The many-particle kernel approach, J CHEM PHYS, 113(19), 2000, pp. 8686-8692
In most theories of diffusion-influenced reactions, the reaction system is
assumed to consist of a central reactant molecule surrounded by the other r
eactant molecules that pass each other freely. That is, excluded volumes am
ong the like reactant molecules are neglected. We use the many-particle ker
nel formalism to investigate the effect of excluded volumes on the diffusio
n-influenced reaction. We obtain approximate analytic expressions for the m
any-particle kernel and the time profile of the survival probability of rea
ctant molecules. The result is shown to be in good agreement with the Brown
ian dynamics simulation. (C) 2000 American Institute of Physics. [S0021-960
6(00)51543-8].