One-dimensional Nonequilibrium Kinetic Ising Models with local spin-symmetry breaking: N-component branching annihilation transition at zero branching rate

TL;DR

This paper explores how local spin-symmetry breaking affects one-dimensional nonequilibrium kinetic Ising models, revealing new phase transition lines including N-component branching annihilating random-walk classes, and proposes a spin model for these transitions.

Contribution

It introduces a spin model for N-BARW2 transitions and identifies new phase transition lines in the phase diagram of nonequilibrium kinetic Ising systems.

Findings

Discovery of a line of N-BARW2 transitions at zero branching rate.

Identification of a phase diagram with directed percolation and N-BARW2 transitions.

Proposal of a spin model for N-BARW2 transitions.

Abstract

The effects of locally broken spin symmetry are investigated in one dimensional nonequilibrium kinetic Ising systems via computer simulations and cluster mean field calculations. Besides a line of directed percolation transitions, a line of transitions belonging to N-component, two-offspring branching annihilating random-walk class (N-BARW2) is revealed in the phase diagram at zero branching rate. In this way a spin model for N-BARW2 transitions is proposed for the first time.