Fast-diffusion mean-field theory for k-body reactions in one dimension

Details Fast-diffusion mean-field theory for k-body reactions in one dimension Fast-diffusion mean-field theory for k-body reactions in one dimension

1992-07-15

arxiv.org/abs/cond-mat/9207015v1

J. Phys. A 25 (1992) 6567-6576

Physics

Condensed Matter

16 pages, TeX (plain)

Scientific paper

10.1088/0305-4470/25/24/011

We derive an improved mean-field approximation for k-body annihilation reactions kA --> inert, for hard-core diffusing particles on a line, annihilating in groups of k neighbors with probability 0 < q <= 1. The hopping and annihilation processes are correlated to mimic chemical reactions. Our new mean-field theory accounts for hard-core particle properties and has a larger region of applicability than the standard chemical rate equation especially for large k values. Criteria for validity of the mean-field theory and its use in phenomenological data fits are derived. Numerical tests are reported for k=3,4,5,6.

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