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具有淬火无序的极性群中遍历性和自平均的分解

Breakdown of Ergodicity and Self-Averaging in Polar Flocks with Quenched Disorder.

作者信息

Duan Yu, Mahault Benoît, Ma Yu-Qiang, Shi Xia-Qing, Chaté Hugues

机构信息

National Laboratory of Solid State Microstructures and Department of Physics, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China.

Max Planck Institute for Dynamics and Self-Organization (MPIDS), 37077 Göttingen, Germany.

出版信息

Phys Rev Lett. 2021 Apr 30;126(17):178001. doi: 10.1103/PhysRevLett.126.178001.

DOI:10.1103/PhysRevLett.126.178001
PMID:33988412
Abstract

We show that spatial quenched disorder affects polar active matter in ways more complex and far reaching than heretofore believed. Using simulations of the 2D Vicsek model subjected to random couplings or a disordered scattering field, we find in particular that ergodicity is lost in the ordered phase, the nature of which we show to depend qualitatively on the type of quenched disorder: for random couplings, it remains long-range ordered, but qualitatively different from the pure (disorderless) case. For random scatterers, polar order varies with system size but we find strong non-self-averaging, with sample-to-sample fluctuations dominating asymptotically, which prevents us from elucidating the asymptotic status of order.

摘要

我们表明,空间淬火无序对极性活性物质的影响比迄今所认为的更为复杂且深远。通过对二维Vicsek模型进行随机耦合或无序散射场的模拟,我们特别发现,在有序相中遍历性丧失,我们表明其性质定性地取决于淬火无序的类型:对于随机耦合,它保持长程有序,但在性质上与纯(无无序)情况不同。对于随机散射体,极性序随系统大小而变化,但我们发现强烈的非自平均,样本间波动渐近地占主导地位,这使我们无法阐明序的渐近状态。

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