Field Theoretic Approach to Long Range Reactions

TL;DR

This paper develops a field theoretic framework to analyze long-range bimolecular reactions, accounting for fluctuations and various reactant mobility and adsorption scenarios.

Contribution

It introduces a novel field theoretic approach to study long-range reactions, incorporating fluctuation effects for different reactant types and conditions.

Findings

Fluctuation effects significantly influence reaction dynamics.

The approach applies to both mobile and immobile reactants.

Results provide insights into reaction behavior with and without adsorption.

Abstract

We analyze bimolecular reactions that proceed by a long-ranged reactive interaction, using a field theoretic approach that takes into account fluctuations. We consider both the one-species, $A+A \to \emptyset$ reaction and the two-species, $A+B \to \emptyset$ reaction. We consider both mobile and immobile reactants, both in the presence and in the absence of adsorption.