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

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

1996-05-26

arxiv.org/abs/cond-mat/9605162v2

J. Phys. A: Math. Gen. 29, 7051-7065 (1996)

Physics

Condensed Matter

19 pages, LaTeX using IOP-macros, 5 eps-figures. It is shown that the amplitude of the density is universal, i.e. independent

Scientific paper

10.1088/0305-4470/29/22/009

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.

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