Journal of Chemical Physics, Vol.117, No.12, 5770-5779, 2002
Exact solution for the geminate ABCD reaction
We obtain exact analytic solution for the Green functions and survival probabilities of the reversible, geminate diffusion-influenced reaction A+B<->C+D in Laplace space, and in the time domain for various spatial dimensionalities. The asymptotic behavior (in one and three dimensions) goes as t(-1/2), like in the irreversible case, but approach to this limit may occur from either above or below. The implications of these results are demonstrated and discussed.