Scaling behavior of the directed percolation universality class

TL;DR

This paper provides numerical evidence that five different lattice models with absorbing state phase transitions all belong to the directed percolation universality class, demonstrating the robustness of this universality class across different interaction details.

Contribution

The study confirms the universality of directed percolation by analyzing five diverse lattice models and showing they share universal scaling functions.

Findings

All models exhibit the same universal scaling functions.

Universal behavior is consistent across different interaction details.

Results support the robustness of the directed percolation universality class.

Abstract

In this work we consider five different lattice models which exhibit continuous phase transitions into absorbing states. By measuring certain universal functions, which characterize the steady state as well as the dynamical scaling behavior, we present clear numerical evidence that all models belong to the universality class of directed percolation. Since the considered models are characterized by different interaction details the obtained universal scaling plots are an impressive manifestation of the universality of directed percolation.