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

K. Oerding
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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.

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K. Oerding. 1996-08-26. The A+B -> 0 annihilation reaction in a quenched random velocity field. https://doi.org/10.1088/0305-4470%2F29%2F22%2F009

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