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Published on: September 26, 2016
Two-species reaction-diffusion system with equal diffusion constants: anomalous density decay at large times
1NORDITA, Blegdamsvej 17, DK 2100 Kobenhavn, Denmark and Institute of Theoretical Physics, Chalmers University of Technology and Goteborg University, SE 412 96 Goteborg, Sweden.
Abstract:
We study a two-species reaction-diffusion model where A+A-->, A+B-->, and B+B-->, with annihilation rates lambda(0), delta(0)>lambda(0), and lambda(0), respectively. The initial particle configuration is taken to be randomly mixed with mean densities n(A)(0)>n(B)(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 support 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.
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