Linearly Coupled Directed Percolation in the Strong Coupling Regime

TL;DR

This paper investigates a coupled directed percolation model with unidirectional transmutation, identifying a new universality class in the strong coupling regime with critical behaviors characterized across different dimensions.

Contribution

It introduces a coupled directed percolation model with unidirectional transmutation and characterizes its universality class and critical dimensions.

Findings

Defines a universality class with upper critical dimension d=6

Derives exact scaling dimensions above d=4

Reveals relevance of interactions below d=4

Abstract

We consider directed percolation processes for particle types A and B coupled unidirectionally by a transmutation reaction A -> B. It is shown that the strong coupling regime of this recently introduced problem defines a universality class with upper critical dimension d=6. Exact expressions are derived for the scaling dimensions in the inactive phase above d=4. Below d=4 the interactions of the normal directed percolation also get relevant.