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Fast-diffusion mean-field theory for k-body reactions in one dimension | | V. Privman
; M. D. Grynberg
; | | Date: |
15 Jul 1992 | | Journal: | J. Phys. A 25 (1992) 6567-6576 DOI: 10.1088/0305-4470/25/24/011 | | Subject: | cond-mat | | 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. | | Source: | arXiv, cond-mat/9207015 | | Services: | Forum | Review | PDF | Favorites | |
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