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

V. Privman·M. D. Grynberg
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Abstract

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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V. Privman, M. D. Grynberg. 1992-07-15. Fast-diffusion mean-field theory for k-body reactions in one dimension. https://doi.org/10.1088/0305-4470%2F25%2F24%2F011

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