Dynamic critical properties of a one-dimensional probabilistic cellular automaton

TL;DR

This paper investigates the dynamic critical behavior of a one-dimensional probabilistic cellular automaton near a phase transition, revealing its universality class and how differences in absorbing states affect this classification.

Contribution

It provides new insights into the universality class of the automaton's phase transition and compares it with a similar model to show the impact of absorbing state nature.

Findings

Transition belongs to directed percolation universality class

Critical exponents are consistent with directed percolation

Differences in absorbing states lead to different universality classes

Abstract

Dynamic properties of a one-dimensional probabilistic cellular automaton are studied by monte-carlo simulation near a critical point which marks a second-order phase transition from a active state to a effectively unique absorbing state. Values obtained for the dynamic critical exponents indicate that the transition belongs to the universality class of directed percolation. Finally the model is compared with a previously studied one to show that a difference in the nature of the absorbing states places them in different universality classes.