Two-species reaction-diffusion system in the presence of random velocity fluctuations

Abstract

We study random velocity effects on a two-species reaction-diffusion system consisting of three reaction processes $A+A\to (\varnothing ,A),A+B\to A$. Using the field-theoretic perturbative renormalization group we analyze this system in the vicinity of its upper critical dimension $d_c=2$. Velocity ensemble is generated by means of stochastic Navier-Stokes equations. In particular, we investigate the effect of thermal fluctuations on reaction kinetics. The overall analysis is performed to the one-loop approximation and possible macroscopic regimes are identified.

Accepted for publication in Theor. Math. Phys

References in corpus (3)

• Applications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems
• Survival in two-species reaction-superdiffusion system: Renormalization group treatment and numerical simulations
• Anomalous Transport Processes in Chemically Active Random Environment