Momentum effects in reaction-diffusion systems

The standard formulation of reaction-diffusion equations assumes that the reacting particles undergo Brownian motion. We generalize the consequent formalism by incorporating a rudimentary model of momentum effects, based on a persistent random-walk model. This formulation is used to study some properties of the reaction A + B → C with the reactant species initially separated in space. It is shown that the change in dynamics introduces an additional short-time scaling regime in the behavior of the reaction rate.