Free-Surface Variational Principle for an Incompressible Fluid with Odd Viscosity.
Free-Surface Variational Principle for an Incompressible Fluid with Odd Viscosity.
复制标题
奇粘度不可压缩流体的自由表面变分原理。
DOI：
10.1103/physrevlett.122.154501
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发表时间：
2018
影响因子：
8.6
通讯作者：
G. Monteiro
中科院分区：
文献类型：
--
作者：
A. Abanov;G. Monteiro
我们给出了具有自由面和非零奇粘性的不可压缩流体动力学的变分公式和哈密顿公式。我们证明了在变分原理下，奇粘性贡献对应于几何边界项。这些边界项修正了扎哈罗夫的泊松括号，并导致了一种新型的边界动力学。修正的边界条件具有自然的几何解释，描述了自由表面上的附加压力与表面本身的角速度成正比。这些边界条件被认为是通用的，因为所提出的流体动力作用完全由系统的对称性决定。
We present variational and Hamiltonian formulations of incompressible fluid dynamics with a free surface and nonvanishing odd viscosity. We show that within the variational principle the odd viscosity contribution corresponds to geometric boundary terms. These boundary terms modify Zakharov's Poisson brackets and lead to a new type of boundary dynamics. The modified boundary conditions have a natural geometric interpretation describing an additional pressure at the free surface proportional to the angular velocity of the surface itself. These boundary conditions are believed to be universal since the proposed hydrodynamic action is fully determined by the symmetries of the system.