Reactions controlled by enhanced diffusion: Deterministic and stochastic approaches Original Research Article

We study the transient A + B → 0 reaction at stoichiometric conditions in dimensions d = 1, 2, and 3. The particles are assumed to follow enhanced diffusion resulting from Lévy walks characterized by the index 1 < γ ⩽ 2. Particle density decays and particle-particle correlation functions are calculated using deterministic reaction diffusion equations and a stochastic model based on random walks. In particular we concentrate on the breakdown of the Ovchinnikov-Zeldovich segregation phenomenon. Segregation is shown to disappear in d = 3 dimensions under enhanced diffusion conditions for γ < 32. The erosion of the segregation is an example of Lévy mixing.