2+1维非相对论宇称破坏流体力学的唯象
Phenomenology of non-relativistic parity-violating hydrodynamics in 2+1 dimensions
摘要：
在二维空间中的宇称违反流体可以出现在各种情况下，如液晶薄膜，任意子流体和量子霍尔流体。尽管如此，宇称违反对运动方程解的影响在很大程度上还没有被探索。在本文中，我们通过简单的，说明性的例子，探讨宇称违反的现象学后果。虽然不可压缩的速度场基本上是不变的宇称违反，我们讨论的例子中，宇称违反发挥作用的边界，或在动态的温度。然后，我们讨论了新类型的可压缩流，只存在于宇称破坏流体，包括新的声波，和孤子的无耗散限制。最后，我们讨论了宇称破坏流体的Rayleigh-Bénard对流中的一些奇怪的特征。
英文摘要：
Parity-violating fluids in two spatial dimensions can appear in a variety of contexts such as liquid crystal films, anyon fluids, and quantum Hall fluids. Nonetheless, the consequences of parity-violation on the solutions to the equations of motion are largely unexplored. In this paper, we explore phenomenological consequences of parity-violation through simple, illustrative examples. Although incompressible velocity fields are essentially unchanged by parity violation, we discuss examples where parity violation plays a role at boundaries, or in the dynamics of temperature. We then discuss new types of compressible flows which only exist in a parity-violating fluid, including new sound waves, and solitons in the dissipationless limit. We conclude with a discussion of some curious features in Rayleigh-Bénard convection of a parity-violating fluid.
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