Universality for moving stripes: a hydrodynamic theory of polar active smectics.

Universality for moving stripes: a hydrodynamic theory of polar active smectics.
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DOI:
10.1103/physrevlett.111.088701
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发表时间:
2013-01
影响因子:
8.6
通讯作者:
Leiming Chen;J. Toner
Leiming Chen;J. Toner
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Leiming Chen;J. Toner

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我们提出了一种移动条纹理论(“极活性近晶子”),它既有数守恒,也有无数守恒。后者用紧凑各向异性的Kardar-Parisi-Zhang方程描述,这意味着近晶有序在d=2范围内是准长的,在d=3范围内是长程的。在d=2时,近晶无序通过Kosterlitz-Thouless相变来描述,这可以通过增加噪声或改变某些非线性来驱动。在数守恒的情况下,d=3的近晶级对巨数涨落有很大的抑制作用,d=2时,非线性效应变得重要。
We present a theory of moving stripes ("polar active smectics"), both with and without number conservation. The latter is described by a compact anisotropic Kardar-Parisi-Zhang equation, which implies smectic order is quasilong ranged in d=2 and long ranged in d=3. In d=2 the smectic disorders via a Kosterlitz-Thouless transition, which can be driven by either increasing the noise or varying certain nonlinearities. For the number-conserving case, giant number fluctuations are greatly suppressed by the smectic order, which is long ranged in d=3. Nonlinear effects become important in d=2.