The A+B -> 0 annihilation reaction in a quenched random velocity field

• Published in: arXiv.org
• Main Author: Oerding, K
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 26.08.1996
• Subjects: Quenching; Renormalization group methods; Velocity distribution
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.9605162

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.