Transient A+B→0 reaction on fractals: stochastic and deterministic aspects

G. Zumofen, J. Klafter, A. Blumen

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we study the transient diffusion-limited A+B→0, A0 = B0 annihilation via deterministic reaction-diffusion equations and via simulation of the stochastic many-particle problem. We show that the two approaches are not equivalent and that the deterministic expressions capture only part of the picture. A lower bound is derived for the density decay which indicates that the overall density follows the power law t-x with α = mm(d/4, 1). Hierarchical oscillations superimposed on the power-law decay are observed for reactions on Sierpinski gaskets.

Original languageEnglish
Pages (from-to)1015-1023
Number of pages9
JournalJournal of Statistical Physics
Volume65
Issue number5-6
DOIs
StatePublished - Dec 1991

Keywords

  • A+B→0
  • fractals

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