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

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.

Presented in the Third International Conference "Models in QFT: In Memory of A.N. Vasiliev" St. Petersburg - Petrodvorez, October 2010

References in corpus (1)

• Anomalous scaling of a passive scalar advected by the turbulent velocity field with finite correlation time: Two-loop approximation

Cited by in corpus (3)

• Approximate calculation of functional integrals arising from the operator approach
• Two-species reaction-diffusion system in the presence of random velocity fluctuations
• Effect of Compressibility on the Annihilation Process