标题： 三维中尺度奇异流体的水动力学 显示英文标题

标题： Hydrodynamics of a three-dimensional mesoscale odd fluid

摘要： 奇流体是一类由破坏时间反演对称性引起的非零反对称输运系数张量所表征的流体。 在我们之前的工作中，开发了一种二维各向同性奇流体的介观模拟模型。 在这里，我们将该模型扩展到对应于具有圆柱对称性的各向异性奇流体的三维情况。 通过动力学理论，我们解析地推导了三维介观奇流体的粘度张量和纳维-斯托克斯方程，并通过模拟进行了定量验证。 此外，通过模拟和水动力学理论，我们证明了三维奇流体的平面泊肃叶流表现出奇异的输运行为。 因此，这项工作为进行大规模模拟以探索和利用奇流体的有趣现象铺平了道路。 显示英文摘要

摘要： Odd fluids are a class of fluids characterized by non-zero antisymmetric transport coefficient tensors induced by broken time-reversal symmetry. In our previous work, a mesoscale simulation model for two-dimensional isotropic odd fluids was developed. Here, we extend the model to the three-dimensional case that corresponds to an anisotropic odd fluid with cylindrical symmetry. Using kinetic theory, we analytically derive the viscosity tensor and Navier-Stokes equation for the three-dimensional mesoscale odd fluid, which are quantitatively verified by simulations. Furthermore, through both simulation and hydrodynamic theory, we demonstrate that the planar Poiseuille flow of the three-dimensional odd fluid exhibits exotic transport behavior. This work thus paves the way for performing large-scale simulations to explore and exploit intriguing phenomena of odd fluids.