I. Ispolatov et al., KINETICS OF A-]0 WITH DRIVEN DIFFUSIVE MOTION(B), Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(3), 1995, pp. 2540-2545
We study the kinetics of two-species annihilation A+B-->0 when all par
ticles undergo strictly biased motion in the same direction and with a
n excluded volume repulsion between same species particles. It was rec
ently shown that the density in this system decays as t(-1/3), compare
d to t(-1/4) density decay in A+B-->0 with isotropic diffusion and eit
her with or without the hard-core repulsion. We suggest a relatively s
imple explanation for this t(-1/3) decay based on the Burgers equation
. Related properties associated with the asymptotic distribution of re
actants can also be acounted for within this Burgers equation descript
ion.