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

Source: [Study of Anomalous Kinetics of The Annihilation Reaction A+A-\>0](<https://www.sota2.com/research/paper/68fa2ff91e209131ce8713c6>)

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

Data updated: 2025-10-24T17:55:32.609Z

Authors: M. Hnatich, J. Honkonen, T. Lu\\v{c}ivjansk\\'y

Published: 2011-09-29T08:18:42.000Z

## 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1109.6431>)

[PDF](<https://arxiv.org/pdf/1109.6431.pdf>)