Synchronous and Asynchronous Updates of Active Ising Spins in One Dimension
Abstract
How do update rules affect the dynamical and steady state properties of a flock? In this study, we have explored the active Ising spins (s = +-1) in one dimension, where spin updates its orientation according to the Metropolis algorithm (based on the neighbors) via two different update rules. (i) Parallel, and (ii) Random-sequential. We explore the effect of Parallel and Random-sequential updates on the dynamical properties of flocks in one dimension. Due to the inherent asynchronous nature of the Random-sequential update, the directional switching of the flock is increased compared to the Parallel one. The nature of phase transition is affected by the difference in the updating mechanism: discontinuous for Parallel and continuous for Random-sequential updates.
Cite
@article{arxiv.2406.08067,
title = {Synchronous and Asynchronous Updates of Active Ising Spins in One Dimension},
author = {Anish Kumar and Sudipta Pattanayak and R. K. Singh and Shradha Mishra},
journal= {arXiv preprint arXiv:2406.08067},
year = {2024}
}
Comments
7 pages, 6 figures. arXiv admin note: text overlap with arXiv:1704.04041