Velocity-fluctuation-induced anomalous kinetics of the A+A--> reaction
The effect of a random velocity field on the kinetics of the single-species annihilation reaction A+A--> is analyzed near two dimensions with the aid of the perturbative renormalization group. The previously found asymptotic behavior induced by density fluctuations only in the diffusion-limited reaction is shown to be unstable to any velocity fluctuations (including thermal fluctuations near equilibrium) in spatial dimensions d</=d(c)=2. Four different stable long-time asymptotic regimes induced by the combined effect of velocity and density fluctuations are identified and the corresponding decay rates calculated in the leading order.
Hnatich
M
Institute for Experimental Physics, SAS, Kosice, Slovakia.
Honkonen
J