Fast-diffusion mean-field theory for k-body reactions in one dimension
Condensed Matter
2014-10-13 v1
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.
Keywords
Cite
@article{arxiv.cond-mat/9207015,
title = {Fast-diffusion mean-field theory for k-body reactions in one dimension},
author = {V. Privman and M. D. Grynberg},
journal= {arXiv preprint arXiv:cond-mat/9207015},
year = {2014}
}
Comments
16 pages, TeX (plain)