Reactive Turbulent Flow in Low-Dimensional, Disordered Media

TL;DR

This paper investigates how turbulent flow in two dimensions affects reaction kinetics, revealing that disorder can accelerate decay rates beyond well-mixed scenarios through field-theoretic analysis.

Contribution

It provides a novel field-theoretic renormalization group analysis of reactions in turbulent flows with disorder, highlighting new decay behaviors.

Findings

Disorder leads to faster decay rates than well-mixed reactions.

Reactions in turbulent flow exhibit complex long-time behaviors.

Field-theoretic methods effectively analyze reaction kinetics in disordered turbulence.

Abstract

We analyze the reactions $A+A \to \emptyset$ and $A + B \to \emptyset$ 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.