论文标题

在受限的活跃的POTTS模型中的干扰和羊群

Jamming and flocking in the restricted active Potts model

论文作者

Karmakar, Mintu, Chatterjee, Swarnajit, Mangeat, Matthieu, Rieger, Heiko, Paul, Raja

论文摘要

我们研究具有现场占用限制或现场排斥的活动POTTS模型,以探索羊群模型中的干扰和动力学停滞。这种卷排除特征的结合导致了令人惊讶的各种自组织空间模式。虽然通常不排除弱体积的颗粒的频带和车道,但强大的体积排除以及低温,高活性和较大的颗粒密度促进了由于运动诱导的相分离而导致的果酱。通过几个相图,我们确定了分隔堵塞和自由流动阶段的相位边界,并研究了这些相之间的过渡,这些阶段为我们提供了定性和定量预测如何延迟或溶解的方法。我们进一步为受限的APM制定并分析了一个预测微观模型的各种特征的流体动力学理论。

We study the active Potts model with either site occupancy restriction or on-site repulsion to explore jamming and kinetic arrest in a flocking model. The incorporation of such volume exclusion features leads to a surprisingly rich variety of self-organized spatial patterns. While bands and lanes of moving particles commonly occur without or under weak volume exclusion, strong volume exclusion along with low temperature, high activity, and large particle density facilitates jams due to motility-induced phase separation. Through several phase diagrams, we identify the phase boundaries separating the jammed and free-flowing phases and study the transition between these phases which provide us with both qualitative and quantitative predictions of how jamming might be delayed or dissolved. We further formulate and analyze a hydrodynamic theory for the restricted APM which predicts various features of the microscopic model.

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