MIXING IN REACTION DYNAMICS UNDER ENHANCED DIFFUSION CONDITIONS

We first review the Levy-flight approach for the description of enhanc ed diffusion and then study the effects of mixing on the transient A B --> 0 reaction at stoichiometric conditions in d = 1-3 dimensions u nder enhanced diffusion conditions; The particles are assumed to follo w Levy walks, characterized by an index , which result in enhanced dif fusion for 1 < gamma < 2. Particle density decays and particle-particl e correlation functions are calculated using deterministic reaction-di ffusion equations and computer simulations of this multi-particle prob lem. We concentrate on the segregation phenomenon and demonstrate that , depending on gamma, segregation may disappear in d = 3 dimensions un der enhanced diffusion conditions. Hence, Levy walks lead to an effici ent mixing of reacting particles.