Self-organization in the A + B → 0 reaction of charged particles

The formalism of many-particle densities developed earlier by the authors is applied to the study of the self-organization phenomena occuring during the course of the bimolecular A + B → 0 reaction between charged particles, interacting via the Coulomb law. Unlike the Debye-Hückel theory, charge screening has an essentially non-equilibrium character. It is shown that for the asymmetric mobility of reactants (D_A = 0, D_B ≠ 0) similar immobile reactants A form aggregates characterized by a sharp maximum, observed at short distances, in the joint correlation function X_A(r, t). Such an aggregation leads to the accelerated particle recombination n ∝ t ^{-5 4} (n_A = n_B = n) instead of the generally accepted algebraic law n ∝ t^-1.