Exponential temporal asymptotics of the A+B→0 reaction-diffusion process with initially separated reactants

S. Kisilevich, M. Sinder, J. Pelleg, V. Sokolovsky

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

We study theoretically and numerically the irreversible A+B→0 reaction-diffusion process of initially separated reactants occupying the regions of lengths LA, LB comparable with the diffusion length (LA, LB ∼ Dt, here D is the diffusion coefficient of the reactants). It is shown that the process can be divided into two stages in time. For t L2 D the front characteristics are described by the well-known power-law dependencies on time, whereas for t> L2 D these are well-approximated by exponential laws. The reaction-diffusion process of about 0.5 of initial quantities of reactants is described by the obtained exponential laws. Our theoretical predictions show good agreement with numerical simulations.

Original languageEnglish
Article number046103
JournalPhysical Review E
Volume77
Issue number4
DOIs
StatePublished - 2 Apr 2008

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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