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

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

2011-09-29

arxiv.org/abs/1109.6431v1

Theor. Math. Phys. 169(1) 1481-1488 (2011)

Nonlinear Sciences

Chaotic Dynamics

Presented in the Third International Conference "Models in QFT: In Memory of A.N. Vasiliev" St. Petersburg - Petrodvorez, Octo

Scientific paper

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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