An Objective Definition of Damage Spreading - Application to Directed Percolation

TL;DR

This paper introduces an objective, formal framework for damage spreading in models, applied to a cellular automaton, revealing three distinct sub-phases within its active phase based on damage-spreading behavior.

Contribution

It provides a general, dynamic-independent definition of damage spreading and applies it to classify phases in a cellular automaton.

Findings

Active phase has three sub-phases with distinct damage-spreading properties

The formalism is applicable to various models for objective damage analysis

Damage spreading can be characterized without dependence on specific dynamics

Abstract

We present a general definition of damage spreading in a pair of models. Using this general framework, one can define damage spreading in an objective manner, that does not depend on the particular dynamic procedure that is being used. The formalism is applied to the Domany-Kinzel cellular automaton in one dimension; the active phase of this model is shown to consist of three sub-phases, characterized by different damage-spreading properties.