Reactive Turbulent Flow in Low-Dimensional, Disordered Media

Abstract

We analyze the reactions $A+A\to \varnothing$ and $A+B\to \varnothing$ occurring in a model of turbulent flow in two dimensions. We find the reactant concentrations at long times, using a field-theoretic renormalization group analysis. We find a variety of interesting behavior, including, in the presence of potential disorder, decay rates faster than that for well-mixed reactions.

6 pages, 4 figures. To appear in Phys. Rev. E

References in corpus (3)

• Disorder-Induced Anomalous Kinetics in the $A+A\to \varnothing$ Reaction
• The Effect of Static Disorder and Reactant Segregation on the $A+B\to \varnothing$ Reaction
• Comment on Renormalization Group Study of the A+B->0 Diffusion-Limited Reaction

Cited by in corpus (6)

• Applications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems
• Reaction, Levy Flights, and Quenched Disorder
• Field-theoretic technique for irreversible reaction processes
• Two-loop calculation of anomalous kinetics of the reaction $A+A\to \varnothing$ in randomly stirred fluid
• ``Superfast'' Reaction in Turbulent Flow with Potential Disorder
• Two-species reaction-diffusion system in the presence of random velocity fluctuations