论文标题
在奇怪的可压缩液中提起力
Lift force in odd compressible fluids
论文作者
论文摘要
我们计算在可压缩流体中的示踪剂粒子的响应矩阵，其奇怪的粘度居住在二维表面上。与不可压缩的情况不同，我们发现一种奇怪的压缩流体可以在示踪剂粒子上产生奇怪的升力力。使用“壳定位”形式主义，我们为在稳定态和有限频率上作用在示踪剂粒子上的阻力和奇数升力力提供了分析表达式。重要的是，我们发现，由于二维表面与三维散装流体之间的耦合而导致的流体质量密度不保守，因此需要考虑到稳定状态下的奇数升力。
We compute the response matrix for a tracer particle in a compressible fluid with odd viscosity living on a two-dimensional surface. Unlike the incompressible case, we find that an odd compressible fluid can produce an odd lift force on a tracer particle. Using a "shell localization" formalism, we provide analytic expressions for the drag and odd lift forces acting on the tracer particle in a steady state and also at finite frequency. Importantly, we find that the existence of an odd lift force in a steady state requires taking into account the non-conservation of the fluid mass density due to the coupling between the two-dimensional surface and the three-dimensional bulk fluid.
