Are Damage Spreading Transitions Generically in the Universality Class of Directed Percolation?

TL;DR

This paper provides numerical evidence that damage spreading transitions in certain automata belong to the directed percolation universality class, suggesting a broader applicability of this class to similar transitions.

Contribution

It demonstrates that damage spreading transitions in the Domany-Kinzel automaton are in the directed percolation universality class and conjectures this applies to other systems under specific conditions.

Findings

Damage spreading transition in the Domany-Kinzel automaton matches directed percolation universality class.

Other damage spreading transitions are likely in the same class unless they coincide with different transitions.

The probability of healing damaged states influences the universality class of the transition.

Abstract

We present numerical evidence for the fact that the damage spreading transition in the Domany-Kinzel automaton found by Martins {\it et al.} is in the same universality class as directed percolation. We conjecture that also other damage spreading transitions should be in this universality class, unless they coincide with other transitions (as in the Ising model with Glauber dynamics) and provided the probability for a locally damaged state to become healed is not zero.