Reentrant Behavior in the Domany-Kinzel Cellular Automaton

TL;DR

This paper investigates the Domany-Kinzel cellular automaton, revealing reentrant phase boundary behavior between active and chaotic phases, supported by numerical and analytical results, including exact solutions along a specific parameter line.

Contribution

It provides the first detailed analysis of reentrant behavior in the phase diagram of the Domany-Kinzel automaton, including exact results for a special parameter line.

Findings

Reentrant phase boundary between active and chaotic phases.

Exact results obtained for the p2=0 line.

Numerical and analytical methods confirm phase behavior.

Abstract

We present numerical and analytical results for a special kind of one-dimensional probabilistic cellular automaton, the so called Domany-Kinzel automaton. It is shown that the phase boundary separating the active and the recently found chaotic phase exhibits reentrant behavior. Furthermore exact results for the $p_2$=0-line are discussed.