Squeezed in three dimensions, moving in two: Hydrodynamic theory of three-dimensional incompressible easy-plane polar active fluids

Squeezed in three dimensions, moving in two: Hydrodynamic theory of three-dimensional incompressible easy-plane polar active fluids
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三维压缩,二维移动:三维不可压缩易平面极性活性流体的流体动力学理论

DOI:
10.1103/physreve.98.040602
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发表时间:
2018-05
期刊:
影响因子:
2.4
通讯作者:
Toner John
Toner John
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Chen Leiming;Lee Chiu Fan;Toner John

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我们研究的流体动力学行为的三维(3D)不可压缩的集合的自推进实体接触的动量汇在一个状态下与非零的平均速度,以下称为3D易平面不可压缩极性主动流体。我们表明,该系统的流体动力学模型属于同一普适类的平衡系统,即一个特殊的三维各向异性磁铁。后者可以进一步映射到另一个平衡系统上,即滑动柱相中的DNA-脂质混合物。通过这些联系,我们找到了三维易平面不可压缩极性主动流体阻尼系数的发散重整化,并得到了它们的等时速度关联函数。
We study the hydrodynamic behavior of three dimensional (3D) incompressible collections of self-propelled entities in contact with a momentum sink in a state with non-zero average velocity, hereafter called 3D easy-plane incompressible polar active fluids. We show that the hydrodynamic model for this system belongs to the same universality class as that of an equilibrium system, namely a special 3D anisotropic magnet. The latter can be further mapped onto yet another equilibrium system, a DNA-lipid mixture in the sliding columnar phase. Through these connections we find a divergent renormalization of the damping coefficients in 3D easy-plane incompressible polar active fluids, and obtain their equal-time velocity correlation functions.
DOI: 10.1088/0305-4470/30/5/009
发表时间: 1997-03-07
期刊: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
影响因子: --
作者:
Czirok, A;Stanley, HE;Vicsek, T
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DOI: 10.1038/ncomms12215
发表时间: 2016-07-25
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DOI: 10.1103/physreve.86.031918
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期刊: Physical review. E, Statistical, nonlinear, and soft matter physics
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