Diffusion-controlled reaction, A+B→C, with initially separated reactants

S. Havlin, M. Araujo, H. Larralde, H. E. Stanley, P. Trunfio

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


We review recent developments in the study of diffusion-reaction systems of the type A+B→C in which reactants are initially separated. We consider two initial boundary conditions: (i) the A and B particles are initially placed uniformly in Euclidean space at x>O and x<0 respectively, and (ii) the A particles are diffusing and inserted at a given site and the B particles are static and distributed uniformly in space. We present analytical and numerical results for both systems. We consider d = 1, 2, 3 dimensional systems as well as fractal lattices.

Original languageEnglish
Pages (from-to)143-152
Number of pages10
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1-4
StatePublished - 15 Dec 1992


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