Exact Solutions of Anisotropic Diffusion-Limited Reactions with Coagulation and Annihilation

Details Exact Solutions of Anisotropic Diffusion-Limited Reactions with Coagulation and Annihilation Exact Solutions of Anisotropic Diffusion-Limited Reactions with Coagulation and Annihilation

1995-03-12

arxiv.org/abs/cond-mat/9503064v1

J. Statistical Phys. 81, 881-899 (1995)

Physics

Condensed Matter

28 pages in plain TeX + 2 PostScript figures

Scientific paper

10.1007/BF02179297

We report exact results for one-dimensional reaction-diffusion models A+A -> inert, A+A -> A, and A+B -> inert, where in the latter case like particles coagulate on encounters and move as clusters. Our study emphasized anisotropy of hopping rates; no changes in universal properties were found, due to anisotropy, in all three reactions. The method of solution employed mapping onto a model of coagulating positive integer charges. The dynamical rules were synchronous, cellular-automaton type. All the asymptotic large-time results for particle densities were consistent, in the framework of universality, with other model results with different dynamical rules, when available in the literature.

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