NONCLASSICAL A-]0 BATCH REACTIONS - EFFECT OF MOBILITY ON RATE, ORDER, AGGREGATION AND SEGREGATION(B)

Citation
P. Argyrakis et R. Kopelman, NONCLASSICAL A-]0 BATCH REACTIONS - EFFECT OF MOBILITY ON RATE, ORDER, AGGREGATION AND SEGREGATION(B), Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(5), 1993, pp. 3757-3760
Citations number
27
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
47
Issue
5
Year of publication
1993
Pages
3757 - 3760
Database
ISI
SICI code
1063-651X(1993)47:5<3757:NABR-E>2.0.ZU;2-J
Abstract
Monte Carlo simulations are performed for the elementary batch reactio n A + B --> 0 on a one-dimensional lattice. The initial densities of t he A and B species are always identical but the relative mobility is v aried. We investigate the rates, rate laws, and particle distribution functions. The rate power law is conserved, i.e., the density always d ecays in time algebraically with exponent 1/4. The rate coefficient is proportional to the relative mobility, as expected. The interparticle distribution functions (''gaps'' and nearest-neighbor distances) show that the aggregation does depend on the relative mobility but the seg regation does not. However, this subtle difference has no effect on th e asymptotic reaction order, which is close to 5.