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arXiv 2104.10982cond-mat.stat-mechcond-mat.soft
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基底上主动 XY 自旋中的迁移诱导有序

Mobility-induced order in active XY spins on a substrate

Astik Haldar, Apurba Sarkar, Swarnajit Chatterjee, Abhik Basu

AI总结:

本文提出基底上耦合守恒扩散场的主动 XY 自旋模型,揭示迁移可稳定非普适的广义 QLRO 均匀相,并解释其数涨落与多类主动系统的关联。

摘要:

我们阐明,与基底上一种守恒、扩散的物种相接触的近相位有序主动 XY 自旋可以是稳定的。在很宽的模型参数范围内,它具有对噪声稳健的稳定均匀相。这些相的特征是广义准长程(QLRO)取向有序,分别比平衡态中众所周知的 QLRO 在对数意义上更强或更弱,并分别伴随微小(即超均匀)或巨大的数涨落。这说明了二者之间的直接对应关系。稳定相位有序状态中相位涨落和密度涨落的标度均是非普适的:它们依赖于非线性动力学耦合。对于其他参数,它不存在稳定的均匀有序相。我们的模型是一种关于主动旋转体的理论,为广泛的系统提供了最小框架,例如基底上的主动超流体、振子同步、纤毛和细菌鞭毛的主动毯以及主动膜。

英文摘要:

We elucidate that the nearly phase-ordered active XY spins in contact with a conserved, diffusing species on a substrate can be stable. For wide-ranging model parameters, it has stable uniform phases robust against noises. These are distinguished by generalized quasi-long range (QLRO) orientational order logarithmically stronger or weaker than the well-known QLRO in equilibrium, together with miniscule (i.e., hyperuniform) or giant number fluctuations, respectively. This illustrates a direct correspondence between the two. The scaling of both phase and density fluctuations in the stable phase-ordered states is nonuniversal: they depend on the nonlinear dynamical couplings. For other parameters, it has no stable uniformly ordered phase. Our model, a theory for active spinners, provides a minimal framework for wide-ranging systems, e.g., active superfluids on substrates, synchronization of oscillators, active carpets of cilia and bacterial flagella and active membranes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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