- 92-89 Privman V , Grynberg M D
- Fast-diffusion mean-field theory for k-body reactions in one dimension
(27K, TeX (plain))
Jul 15, 92
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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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