Reaction front dynamics of A + B → C with initially separated reactants

Mariela Araujo, Hernan Larralde, Shlomo Havlin, H. E. Stanely

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We study the reaction front for the diffusion-reaction system A + B → C with initially separated reactants. We present analytical results for the form of the front and the exponents that characterize its width and height asymptotically, which appear to hold in d ≥ 2. We also present analytical and numerical results for the form of the reaction front for the 1D case in which one of the reactants is static, and find the width exponent α = 1 4, which is larger than the mean field exponent (α = 1 6) but smaller than the value for the case in which both species diffuse (α {reversed tilde equals} 0.3).

Original languageEnglish
Pages (from-to)168-171
Number of pages4
JournalPhysica A: Statistical Mechanics and its Applications
Volume191
Issue number1-4
DOIs
StatePublished - 15 Dec 1992

Bibliographical note

Funding Information:
The Center for Polymer studiesi s supportedb y grantsf rom NSF and ONR. MA acknowledgest he support of Intevep S.A. Venezuela,H L the support of CONACYT Mexico while SH thanks the US-Israel Binational ScienceF oun-dation for partial support.

Fingerprint

Dive into the research topics of 'Reaction front dynamics of A + B → C with initially separated reactants'. Together they form a unique fingerprint.

Cite this