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Green's function of the Smoluchowski equation with reaction sink: Application to geminate and bulk recombination
Kyusup Lee1, Jaeyoung Sung2, Cheol Ho Choi3
1Department of Chemistry, Seoul National University, Seoul 08826, South Korea.
Abstract:
By applying a recently developed solution method for the Fredholm integral equation of the second kind, we obtain an expression for Green's function of the Smoluchowski equation with a reaction sink. The result is applied to obtain accurate analytical expressions for the time-dependent survival probability of a geminate reactant pair and the rate coefficient of the bulk recombination between reactants undergoing diffusive motions under strong Coulomb interactions. The effects of both repulsive and attractive interactions are considered, and the results are compared with the numerical results obtained by solving the equation for the survival probability and the nonequilibrium pair correlation function. It is shown that the solutions are accurate enough for most reasonable parameter values.
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