Abstract
We investigate the inertial dynamic effects on the kinetics of diffusion-influenced reactions by solving the linear diffusive Cattaneo system with the reaction sink term. Previous analytical studies on the inertial dynamic effects were limited to the bulk recombination reaction with infinite intrinsic reactivity. In the present work, we investigate the combined effects of inertial dynamics and finite reactivity on both bulk and geminate recombination rates. We obtain explicit analytical expressions for the rates, which show that both bulk and geminate recombination rates are retarded appreciably at short times due to the inertial dynamics. In particular, we find a distinctive feature of the inertial dynamic effect on the survival probability of a geminate pair at short times, which can be manifested in experimental observations.
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