Dynamics of a lamellar system with diffusion and reaction: Scaling analysis and global kinetics

F. J. Muzzio*, J. M. Ottino

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

56 Scopus citations

Abstract

The evolution of a one-dimensional array of reactive lamellae with distributed striation thickness is studied by means of simulations, scaling analysis, and space-averaged kinetics. An infinitely fast, diffusion-controlled reaction A+B→2P occurs at the interfaces between striations. As time increases, thin striations are eaten by thicker neighbors resulting in a modification of the striation thickness distribution (STD). Scaling analysis suggests that the STD evolves into a universal form and that the behavior of the system at short and long times is characterized by two different kinetic regimes. These predictions are confirmed by means of a novel numerical algorithm.

Original languageEnglish (US)
Pages (from-to)7182-7192
Number of pages11
JournalPhysical Review A
Volume40
Issue number12
DOIs
StatePublished - Jan 1 1989

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

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