1D lattice dynamics of the diffusion limited reaction A+A->A+S: Transient behavior

Details 1D lattice dynamics of the diffusion limited reaction A+A->A+S: Transient behavior 1D lattice dynamics of the diffusion limited reaction A+A->A+S: Transient behavior

2000-02-28

arxiv.org/abs/cond-mat/0002432v1

J. Stat. Phys. 99, 1397 (2000)

Physics

Condensed Matter

Statistical Mechanics

10 pages. Accepted for publication in the June 2000 issue of the JSP (Volume 99, Issue 5/6)

Scientific paper

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.

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