通过边界效应解决霍尔和耗散粘度模糊性
Resolving Hall and dissipative viscosity ambiguities via boundary effects
摘要：
我们研究了二维各向异性流体的粘性冗余的物理含义，其中粘度张量的不同分量在系统的主体中导致相同的效应[Rao和Bradlyn，Phys. Rev. X $\textbf{10}$，021005（2020）]。我们首先重新引入冗余，它反映了缺乏知识的系统的微观信息，并给出微观的例子。接下来，我们表明，在系统中的流体流动的边界可以区分，否则冗余的粘性系数。特别是，我们展示了如何分散和阻尼的重力为主的表面波可以用来解决耗散和霍尔粘度之间的冗余，并讨论这些结果如何适用于最近的实验中手性活性流体与非零霍尔粘度。我们的研究结果强调了无发散，磁化样的贡献的重要性的应力（我们称之为“接触条款”）。最后，我们将我们的结果应用到量子霍尔流体的流体动力学，并表明，额外的贡献的行动，使大量的Wen-Zee行动规范不变的系统中的边界可以重新解释的散装粘性冗余。
英文摘要：
We examine the physical implications of the viscous redundancy of two-dimensional anisotropic fluids, where different components of the viscosity tensor lead to identical effects in the bulk of a system [Rao and Bradlyn, Phys. Rev. X $\textbf{10}$, 021005 (2020)]. We first re-introduce the redundancy, show how it reflects a lack of knowledge of microscopic information of a system, and give microscopic examples. Next, we show that fluid flow in systems with a boundary can distinguish between otherwise redundant viscosity coefficients. In particular, we show how the dispersion and damping of gravity-dominated surface waves can be used to resolve the redundancies between both dissipative and Hall viscosities, and discuss how these results apply to recent experiments in chiral active fluids with nonvanishing Hall viscosity. Our results highlight the importance of divergenceless, magnetization-like contributions to the stress (which we dub ``contact terms''). Finally, we apply our results to the hydrodynamics of quantum Hall fluids, and show that the extra contribution to the action that renders the bulk Wen-Zee action gauge invariant in systems with a boundary can be reinterpreted in terms of the bulk viscous redundancy.
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