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arXiv · 1109.6431

Study of Anomalous Kinetics of The Annihilation Reaction A+A->0

M. Hnatich·J. Honkonen·T. Lučivjanský
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Abstract

Using the perturbative renormalization group, we study the influence of a random velocity field on the kinetics of the single-species annihilation reaction A+A->0 at and below its critical dimension d_c=2. We use the second-quantization formalism of Doi to bring the stochastic problem to a field-theoretic form. We investigate the reaction in the vicinity of the space dimension d=2 using a two-parameter expansion in $\epsilon$ and $\Delta$, where $\epsilon$ is the deviation from the Kolmogorov scaling parameter and $\Delta$ is the deviation from the space dimension d=2. We evaluate all the necessary quantities, including fixed points with their regions of stability, up to the second order of the perturbation theory.

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M. Hnatich, J. Honkonen, T. Lučivjanský. 2011-09-29. Study of Anomalous Kinetics of The Annihilation Reaction A+A->0. https://doi.org/10.1007/s11232-011-0124-9

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