论文标题
肺卵中的极性羊群中的千古和自我平衡的崩溃
Breakdown of Ergodicity and Self-Averaging in Polar Flocks with Quenched Disorder
论文作者
论文摘要
我们表明，空间淬火障碍会以比迄今为止更复杂和更深远的方式影响极性活跃物质。使用经受随机耦合或无序散射场的2D Vicsek模型的模拟，我们特别发现，在有序阶段丢失了麦迪克的性质，我们表明的性质依赖于Quenched障碍的类型：对于随机耦合的类型，对于随机耦合而言，它仍然是长期的有序，但与纯度（纯度混乱无关）。对于随机散射器，极性顺序随系统的大小而变化，但我们发现强烈的非自我平均水平，样品对样本的波动渐近地主导，这阻止了我们阐明秩序的渐近状态。
We show that spatial quenched disorder affects polar active matter in ways more complex and far-reaching than believed heretofore. 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.
