1D lattice dynamics of the diffusion limited reaction A+A->A+S: Transient behavior
Statistical Mechanics
2007-05-23 v1
Abstract
We use a boolean cellular automaton model to describe the diffusion limited dynamics of the irreversible reaction A+A->A+S on a 1D lattice. We derive a set of equations for the dynamics of the empty interval probabilities from which explicit expressions for the particle concentration and the two-point correlation can be obtained. It is shown that the long time dynamics is in agreement with the off-lattice solution. The early time behavior, however, predicts a slower decay of the concentration.
Keywords
Cite
@article{arxiv.cond-mat/0002432,
title = {1D lattice dynamics of the diffusion limited reaction A+A->A+S: Transient behavior},
author = {E. Abad and H. L. Frisch and G. Nicolis},
journal= {arXiv preprint arXiv:cond-mat/0002432},
year = {2007}
}
Comments
10 pages. Accepted for publication in the June 2000 issue of the JSP (Volume 99, Issue 5/6)