AI 中文总结
研究一维晶格模型,在非运动极限下呈现吸收铁磁态,引入有偏运动性后吸收态被破坏,系统从有序变无序,通过有限尺寸标度分析揭示连续转变及临界指数,为活动诱导无序提供证据。
AI 中文摘要
在多体系统中,当活动以运动性的形式出现时,通常被认为会促进秩序。本文提出了一个一维晶格模型,在非运动极限下,该模型呈现吸收铁磁态。当通过有偏运动性引入活动时,这些吸收态会被破坏,并且随着排列强度的降低,系统会从有序群聚转变为无序状态。对物理量的有限尺寸标度分析揭示了一维中具有满足超标度关系的临界指数的连续转变,为活动诱导的无序提供了定量证据。
英文摘要
Activity, when it takes the form of motility, is generally seen to promote order in many-body systems. Here we present a one-dimensional lattice model that, in the non-motile limit, exhibits absorbing ferromagnetic states. When activity is introduced through biased motility, these absorbing state are destabilised and the system instead undergoes a transition from an ordered flock to a disordered state as the alignment strength is decreased. A finite-size scaling analysis of physical quantities reveals a continuous transition with critical exponents satisfying the hyperscaling relation in one dimension, providing quantitative evidence for the activity-induced disorder.
Comments10 Pages, 13 figures