The role of pair correlations in diffusion limited recombination A+B>0
Abstract
For the reaction A+B→0, the algebraic approach for deriving the kinetic equations for the pair correlation functions g_{λλ′ }( r, t), with λ, λ′= a, b, is discussed in the general context of the coupled cluster approach assuming that pair correlations are favored. For the unimolecular regime, c_{a}( t)≪ c_{b}( t)≪1, an exponential cutoff of g_{ab}( r, t) at a length of ≈ {1}/{√c _{b}} is found, as well as the additional contribution ≈√ c_{b} to the Smoluchowski rate constant. For the bimolecular regime, c_{b}( t)= c_{a}( t), the model gives a decreasing c _{a}≈t ^{ {3}/{4}} for preasymptotic t< D^{1}c_{a}^{4}(0), and c_{a}≈ t^{1} for t→∞, with D being the mutual diffusion rate.
 Publication:

Physics Letters A
 Pub Date:
 May 1993
 DOI:
 10.1016/03759601(93)90317S
 Bibcode:
 1993PhLA..176...62R