一维主动伊辛自旋的同步与异步更新
Synchronous and Asynchronous Updates of Active Ising Spins in One Dimension
AI总结：
本文研究一维主动伊辛自旋，比较 Metropolis 框架下并行与随机顺序更新对群体动力学及相变性质的影响。
摘要：
更新规则如何影响群体的动力学和稳态性质？本研究考察了一维主动伊辛自旋（s = ±1），其中自旋依据 Metropolis 算法（基于邻居）通过两种不同更新规则改变取向：（i）并行更新，（ii）随机顺序更新。我们探究了并行和随机顺序更新对一维群体动力学性质的影响。由于随机顺序更新固有的异步特性，与并行更新相比，群体的方向切换有所增加。相变的性质也受到更新机制差异的影响：并行更新对应不连续相变，而随机顺序更新对应连续相变。
英文摘要：
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.
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