ISSN:
1572-9613
Keywords:
Reactions
;
anisotropic diffusion
;
coagulation
;
synchronous dynamics
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We report exact results for one-dimensional reaction-diffusion modelsA+A→inert,A+A→A, andA+B→inert, where in the latter case like particles coagulate on encounters and move as clusters. Our study emphasizes anisotropy of hopping rates; no changes in universal properties are found, due to anisotropy, in all three reactions. The method of solution employs mapping onto a model of coagulating positive integer charges. The dynamical rules are synchronous, cellular-automaton type. All the asymptotic large-time results for particle densities are consistent, in the framework of universality, with other model results with different dynamical rules, when available in the literature.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02179297
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