EXACT RESULTS FOR KINETICS OF CATALYTIC REACTIONS

Authors
FRACHEBOURG L KRAPIVSKY PL
Citation
L. Frachebourg et Pl. Krapivsky, EXACT RESULTS FOR KINETICS OF CATALYTIC REACTIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(4), 1996, pp. 3009-3012
Citations number
28
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
53
Issue
4
Year of publication
1996
Part
A
Pages
3009 - 3012
Database
ISI
SICI code
1063-651X(1996)53:4<3009:ERFKOC>2.0.ZU;2-6
Abstract
The kinetics of an irreversible catalytic reaction on a substrate of a rbitrary dimension is examined. In the limit of infinitesimal reaction rate (reaction-controlled limit), we solve the dimer-dimer surface re action model (or voter model) exactly in arbitrary dimension D. The de nsity of reactive interfaces is found to exhibit a power-law decay for D<2 and a slow logarithmic decay in two dimensions. We discuss the re levance of these results for the monomer-monomer surface reaction mode l.