``Superfast'' Reaction in Turbulent Flow with Potential Disorder

Abstract

We explore the regime of ``superfast'' reactivity that has been predicted to occur in turbulent flow in the presence of potential disorder. Computer simulation studies confirm qualitative features of the previous renormalization group predictions, which were based on a static model of turbulence. New renormalization group calculations for a more realistic, dynamic model of turbulence show that the superfast regime persists. This regime, with concentration decay exponents greater than that for a well-mixed reaction, appears to be a general result of the interplay among non-linear reaction kinetics, turbulent transport, and local trapping by potential disorder.

14 pages. 4 figures. Uses IOP styles. To appear in J. Phys. A: Math. Gen

References in corpus (5)

• 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
• Reactive Turbulent Flow in Low-Dimensional, Disordered Media
• Direct Numerical Observation of Anomalous Diffusion in Random Media

Cited by in corpus (5)

• Applications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems
• The Reaction Process A+A->O in Sinai Disorder
• 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