Field Theory Approach In Kinetic Reaction: Role Of Random Sources And Sinks

TL;DR

This paper uses a field theoretic model to analyze how random sources and sinks influence reaction kinetics, revealing their impact on asymptotic behavior and identifying universality classes through scaling analysis.

Contribution

It introduces a field theoretic approach to study the effects of random sources and sinks in reaction kinetics, highlighting their significance in asymptotic behavior and universality classes.

Findings

Random sources and sinks significantly alter asymptotic behavior.

Two universality classes are identified via scaling analysis.

Results are compared with Langevin-equation descriptions.

Abstract

In the framework of a field theoretic model obtained by second quantization of Doi-type master equation, we investigate the effects of random sources and sinks on the reaction kinetics in the master-equation description. We show that random sources and sinks significantly affect the asymptotic behavior of the model and identify two universality classes when describing them using scaling analysis. We compare the results with the Langevin-equation description of the same process.