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 ε= 3-d.

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

References in corpus (6)

• Renormalization Group Calculation for the Reaction $kA\to \varnothing$
• Renormalization Group Study of the A+B->0 Diffusion-Limited Reaction
• Kinetics of A+B--->0 with Driven Diffusive Motion
• Asymptotic behavior of A + B --> inert for particles with a drift
• Spatial Organization in the Reaction A + B --> inert for Particles with a Drift
• Shear Flows and Segregation in the Reaction $A+B\to \varnothing$

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• Reaction Diffusion Models in One Dimension with Disorder
• Comment on Renormalization Group Study of the A+B->0 Diffusion-Limited Reaction
• Symmetry and species segregation in diffusion-limited pair annihilation
• The Reaction Process A+A->O in Sinai Disorder
• Segregation in diffusion-limited multispecies pair annihilation
• Annihilating random walks in one-dimensional disordered media