REACTION-KINETICS BEYOND RATE-EQUATIONS - A CORRELATION-FUNCTION STUDY OF THE EFFECTS OF SPACE DIMENSION AND REACTANT MOBILITIES ON THE BIOMOLECULAR ANNIHILATION REACTION

A novel correlation-function approach, making use of many-particle den sities and terminating their hierarchy by employing Kirkwood's superpo sition principle, is applied to the bimolecular annihilation reaction A + B --> 0. The roles of initial concentrations, space dimension and ratio of the reactant diffusivities in the modification of the reactio n rate by many-particle effects are compared with computer simulations . The many-particle effects cause the reaction A + B --> 0 to exhibit spatial self-organization phenomena even in the absence of direct A-A or B-B interactions. It is argued that this result casts serious doubt s on the validity of the Hanusse-Tyson-Light theorem in synergetics.