Mixing in reaction dynamics under enhanced diffusion conditions

G. Zumofen, J. Klafter, M. F. Shlesinger

Research output: Contribution to journalArticlepeer-review

Abstract

We first review the Lévy-flight approach for the description of enhanced diffusion and then study the effects of mixing on the transient A + B → 0 reaction at stoichiometric conditions in d = 1 - 3 dimensions under enhanced diffusion conditions. The particles are assumed to follow Lévy walks, characterized by an index γ, which result in enhanced diffusion for 1 <γ<2. Particle density decays and particle-particle correlation functions are calculated using deterministic reaction-diffusion equations and computer simulations of this multi-particle problem. We concentrate on the segregation phenomenon and demonstrate that, depending on γ, segregation may disappear in d = 3 dimensions under enhanced diffusion conditions. Hence, Lévy walks lead to an efficient mixing of reacting particles.

Original languageEnglish
Pages (from-to)157-171
Number of pages15
JournalPhysics Report
Volume290
Issue number1-2
DOIs
StatePublished - Nov 1997

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