EFFECT OF REACTANT SPATIAL-DISTRIBUTION IN THE A-]0 REACTION-KINETICSIN ONE-DIMENSION WITH COULOMB INTERACTION(B)

The effect of nonequilibrium charge screening in the kinetics of the o ne-dimensional, diffusion-controlled A+B-->0 reaction between charged reactants in solids and liquids is studied. The incorrectness of the s tatic, Debye-Huckel theory is shown. Our microscopic formalism is base d on the Kirkwood superposition approximation for three-particle densi ties and the self-consistent treatment of the electrostatic interactio ns defined by the nonuniform spatial distribution of similar and dissi milar reactants treated in terms of the relevant joint correlation fun ctions. Special attention is paid to the pattern formation due to a re action-induced non-Poissonian fluctuation spectrum of reactant densiti es. This reflects a formation of loose domains containing similar reac tants only. The effect of asymmetry in reactant mobilities (D-A=0, D-B >0) contrasting the traditional symmetric case, i.e., equal diffusion coefficients (D-A=D-B), is studied. In the asymmetric case concentrati on decay is predicted to be accelerated, n(t)proportional to t(-alpha) , alpha=1/3, as compared to the well-established critical exponent for fluctuation-controlled kinetics in the symmetric case, alpha=1/4, and /or the prediction of the standard chemical kinetics, alpha=1/2. Resul ts for the concentration decay and growth under permanent particle sou rce are compared with results of the mesoscopic theory.