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arXiv 2005.00621cond-mat.softphysics.flu-dyn
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手性活性流体的流体力学关联函数

Hydrodynamic correlation functions of chiral active fluids

Debarghya Banerjee, Anton Souslov, Vincenzo Vitelli

摘要:

光谱学在平衡流体中的成功,例如热容比,表明了对活性流体的平行方法。在这里,我们开始从旋转成分组成的手性活性流体的流体动力学描述,并推导出其低频,长波长的响应函数,使用Kadanoff-马丁形式主义。我们发现,奇数(相当于霍尔)粘度的存在导致混合密度涡度响应,即使在线性顺序。这种在时间反演不变流体中被禁止的响应是时间反演对称性微观破缺的大尺度表现。我们的工作提出了可能的实验探针,可以测量异常的传输系数在活性流体通过动态光散射。

英文摘要:

The success of spectroscopy to characterise equilibrium fluids, for example the heat capacity ratio, suggests a parallel approach for active fluids. Here, we start from a hydrodynamic description of chiral active fluids composed of spinning constituents and derive their low-frequency, long-wavelength response functions using the Kadanoff-Martin formalism. We find that the presence of odd (equivalently, Hall) viscosity leads to mixed density-vorticity response even at linear order. Such response, prohibited in time-reversal-invariant fluids, is a large-scale manifestation of the microscopic breaking of time-reversal symmetry. Our work suggests possible experimental probes that can measure anomalous transport coefficients in active fluids through dynamic light scattering.

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