# Nonequilibrium Kinetic Ising Models: Phase Transition and Universality Classes in One Dimension

Source: [Nonequilibrium Kinetic Ising Models: Phase Transition and Universality Classes in One Dimension](<https://www.sota2.com/research/paper/68fa31a61e209131ce880af8>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T18:59:16.653Z

Authors: Nora Menyhard, Geza Odor

Published: 2000-01-10T13:52:27.000Z

## Abstract

Nonequilibrium kinetic Ising models evolving under the competing effect of spin flips at zero temperature and Kawasaki-type spin-exchange kinetics at infinite temperature T are investigated here in one dimension from the point of view of phase transition and critical behaviour. Branching annihilating random walks with an even number of offspring (on the part of the ferromagnetic domain boundaries), is a decisive process in forming the steady state of the system for a range of parameters, in the family of models considered. A wide variety of quantities characterize the critical behaviour of the system. Results of computer simulations and of a generalized mean field theory are presented and discussed.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0001101>)

[PDF](<https://arxiv.org/pdf/cond-mat/0001101.pdf>)