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

Source: [The A+B -\> 0 annihilation reaction in a quenched random velocity field](<https://www.sota2.com/research/paper/68fa24422c2a3760193a1a1b>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:00:16.554Z

Authors: K. Oerding

Published: 1996-05-26T15:46:28.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9605162>)

[PDF](<https://arxiv.org/pdf/cond-mat/9605162.pdf>)