Swimmer Suspensions on Substrates: Anomalous Stability and Long-Range Order.,Physical Review Letters

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Swimmer Suspensions on Substrates: Anomalous Stability and Long-Range Order.
Physical Review Letters ( IF 8.1 ) Pub Date : 2020-01-17 , DOI: 10.1103/physrevlett.124.028002
Ananyo Maitra _{1,

2} , Pragya Srivastava _{3,

4} , M Cristina Marchetti ₅ , Sriram Ramaswamy _{6,

7} , Martin Lenz _{2,

8}

Affiliation

We present a comprehensive theory of the dynamics and fluctuations of a two-dimensional suspension of polar active particles in an incompressible fluid confined to a substrate. We show that, depending on the sign of a single parameter, a state with polar orientational order is anomalously stable (or anomalously unstable), with a nonzero relaxation (or growth) rate for angular fluctuations, not parallel to the ordering direction, at zero wave number. This screening of the broken-symmetry mode in the stable state does lead to conventional rather than giant number fluctuations as argued by Bricard et al., Nature 503, 95 (2013), but their bend instability in a splay-stable flock does not exist and the polar phase has long-range order in two dimensions. Our theory also describes confined three-dimensional thin-film suspensions of active polar particles as well as dense compressible active polar rods, and predicts a flocking transition without a banding instability.

中文翻译：

游泳者在基板上的悬架：异常稳定性和远距离秩序。

我们提出了极性活性颗粒的二维悬浮液在局限在基质中的不可压缩流体中的动力学和涨落的综合理论。我们证明，根据单个参数的符号，具有极性取向顺序的状态异常稳定（或异常不稳定），角度波动的松弛率（或增长率）为非零（不平行于订购方向），为零波数。如Bricard等人（Nature 503，95（2013））所述，在稳态下对对称对称模式的这种筛选确实会导致常规的波动，而不是巨大的数字波动，但在稳定的羊群中不存在弯曲不稳定性极性相在二维上具有远距离有序。

更新日期：2020-01-17

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