Anomalous dynamics in reaction-diffusion systems

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

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We review recent developments in the study of the diffusion reaction systems of the type A+B→C in which the reactants are initially separated. We consider the case where the A and B particles are initially placed uniformly in Euclidean space at x>0 and x<0, respectively. We find that whereas for d≥2 the mean-field exponent characterizes the width of the reaction zone, fluctuations are relevant in the one-dimensional system. We also presented analytical and numerical results for the reaction rate on fractals and percolation systems.

Original languageEnglish
Pages (from-to)1039-1051
Number of pages13
JournalIl Nuovo Cimento D
Volume16
Issue number8
DOIs
StatePublished - Aug 1994

Keywords

  • Conference proceedings
  • Fluctuation phenomena
  • Renormalization-group
  • and Brownian motion
  • and percolation studies of phase transitions
  • fractal
  • random processes

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