标题： 可压缩流体层中具有奇数粘度的刚性基底上圆盘的水动力阻力解析解 显示英文标题

标题： Analytical solution for the hydrodynamic resistance of a disk in a compressible fluid layer with odd viscosity on a rigid substrate

摘要： 手性活性流体可以表现出奇异性粘度，这是一种破坏时间反演和宇称对称性的特性。 在这里，我们研究了在具有奇异性粘度的可压缩二维流体层中，刚性圆盘运动的水动力流动，该流体层由传统流体的薄润滑层支撑。 使用傅里叶空间中的二维格林函数，我们推导出了任意大小圆盘周围的流动以及其阻力矩阵的精确解析解。 所得的阻力系数破坏了Onsager互易性，但在奇异性粘度的任何阶数下都满足Onsager-Casimir互易性。 显示英文摘要

摘要： Chiral active fluids can exhibit odd viscosity, a property that breaks the time-reversal and parity symmetries. Here, we examine the hydrodynamic flows of a rigid disk moving in a compressible 2D fluid layer with odd viscosity, supported by a thin lubrication layer of a conventional fluid. Using the 2D Green's function in Fourier space, we derive an exact analytical solution for the flow around a disk of arbitrary size, as well as its resistance matrix. The resulting resistance coefficients break the Onsager reciprocity, but satisfy the Onsager-Casimir reciprocity to any order in odd viscosity.