Crossover scaling in the Domany-Kinzel cellular automaton

TL;DR

This paper investigates the crossover scaling behavior in the one-dimensional Domany-Kinzel cellular automaton, confirming the crossover exponent value and comparing numerical results with a recent field theoretical approach.

Contribution

It provides numerical evidence for the crossover exponent in the automaton and compares it with theoretical predictions, enhancing understanding of universality class transitions.

Findings

Confirmed crossover exponent phi=2

Numerical results align with field theoretical predictions

Clarified the transition between universality classes

Abstract

We consider numerically the crossover scaling behavior from the directed percolation universality class to the compact directed percolation universality class within the one-dimensional Domany-Kinzel cellular automaton. Our results are compared to those of a recently performed field theoretical approach. In particular, the value of the crossover exponent phi=2 is confirmed.