On Coupled Directed Percolation Processes: A Unifying View

TL;DR

This paper unifies the critical properties of coupled directed percolation processes within a single reaction-diffusion model, simplifying the understanding of their universal scaling behavior near multicritical points.

Contribution

It demonstrates that the universal critical properties of coupled directed percolation processes can be described by a single invariant stochastic model, with all necessary renormalizations derived from the Gribov process.

Findings

Universal critical properties are captured by a single stochastic model.

Crossover exponent for the linear coupling parameter is Phi = 1.

Renormalizations are obtained from the Gribov process.

Abstract

It is shown that the universal critical properties of two recently introduced coupled directed percolation processes can be described by a single rapidity reversal invariant stochastic reaction-diffusion model. It is demonstrated that all renormalizations needed for the calculation of the universal scaling behavior near the multicritical point can be gained from the Gribov process (Reggeon field theory). Consequently the crossover exponent describing the scaling of the linear coupling parameter is given by Phi = 1 to all orders of the perturbation expansion.