Abstract
The diffusion-limited reaction A+A↔A+B is studied in general dimension. The asymptotic decay of the system is found to depend nontrivially upon the initial concentration of A particles for certain ranges of the diffusion constant, backward reaction rate, and total concentration of particles. This nonequilibrium behavior is due to the formation of clusters centered about the initial A particles. A perturbative analysis ind=1 shows that the transition to the nonequilibrium dynamics is sharp and is quite similar to another previously studied reaction A+A↔A. Ford>1, a scaling argument is presented which describes the dependence of the asymptotic decay on the initial concentration of A particles and the equilibrium concentration for large backward reaction rates. Monte Carlo data are shown which confirm the analytic work ind=1, 2, and 3.
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Ray, T.S., Moseley, L.L. Nonequilibrium dynamics of a diffusion-limited reaction driven by a cluster-memory mechanism. J Stat Phys 73, 879–892 (1993). https://doi.org/10.1007/BF01052814
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DOI: https://doi.org/10.1007/BF01052814