The A+B -> 0 annihilation reaction in a quenched random velocity field
Abstract
Using field-theoretic renormalization group methods the long-time behaviour of the A+B -> 0 annihilation reaction with equal initial densities n_A(0) = n_B(0) = n_0 in a quenched random velocity field is studied. At every point (x, y) of a d-dimensional system the velocity v is parallel or antiparallel to the x-axis and depends on the coordinates perpendicular to the flow. Assuming that v(y) have zero mean and short-range correlations in the y-direction we show that the densities decay asymptotically as n(t) ~ A n_0^(1/2) t^(-(d+3)/8) for d<3. The universal amplitude A is calculated at first order in \epsilon = 3-d.
Keywords
Cite
@article{arxiv.cond-mat/9605162,
title = {The A+B -> 0 annihilation reaction in a quenched random velocity field},
author = {K. Oerding},
journal= {arXiv preprint arXiv:cond-mat/9605162},
year = {2009}
}
Comments
19 pages, LaTeX using IOP-macros, 5 eps-figures. It is shown that the amplitude of the density is universal, i.e. independent of the reaction rate