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Two-Species Reaction-Diffusion System with Equal Diffusion Constants: Anomalous Density Decay at Large Times | | Zoran Konkoli
; Henrik Johannesson
; | | Date: |
15 Oct 1999 | | Journal: | Z. Konkoli and H. Johannesson, Phys. Rev. E vol 62, 3276 (2000) | | Subject: | Statistical Mechanics; Soft Condensed Matter | cond-mat.stat-mech cond-mat.soft | | Affiliation: | 1 and 2), Henrik Johannesson ( NORDITA Chalmers University of Technology and Goteborg University | | Abstract: | We study a two-species reaction-diffusion model where A+A->0, A+B->0 and B+B->0, with annihilation rates lambda0, delta0 > lambda0 and lambda0, respectively. The initial particle configuration is taken to be randomly mixed with mean densities nA(0) > nB(0), and with the two species A and B diffusing with the same diffusion constant. A field-theoretic renormalization group analysis suggests that, contrary to expectation, the large-time density of the minority species decays at the same rate as the majority when d<=2. Monte Carlo data supports the field theory prediction in d=1, while in d=2 the logarithmically slow convergence to the large-time asymptotics makes a numerical test difficult. | | Source: | arXiv, cond-mat/9910245 | | Services: | Forum | Review | PDF | Favorites | |
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