Exact solution for the geminate ABCD reaction

Alexander V. Popov, Noam Agmon
2002 Journal of Chemical Physics  
We obtain exact analytic solution for the Green functions and survival probabilities of the reversible, geminate diffusion-influenced reaction AϩB↔CϩD in Laplace space, and in the time domain for various spatial dimensionalities. The asymptotic behavior ͑in one and three dimensions͒ goes as t Ϫ1/2 , 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.
doi:10.1063/1.1501127 fatcat:r2eflnu3fbg4zorzvic6w2upwi