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Nonrelativistic parity-violating hydrodynamics in two spatial dimensions

机译:二维空间中非相对论违反奇偶性的水动力学

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摘要

We construct the nonrelativistic parity-violating hydrodynamic description of a two-dimensional dissipative, normal fluid in the presence of small U(1) background fields and vorticity. This is achieved by taking the nonrelativistic limit of the recently developed relativistic hydrodynamics in 2 + 1 dimensions. We identify and interpret the resulting parity-violating contributions to the nonrelativistic constitutive relations, which include the Hall current flowing perpendicular to the temperature gradient, the Hall viscosity, and the Leduc-Righi energy current. Also a comparison of our findings is made with the nonrelativistic parity-violating hydrodynamics obtained from a light-cone dimensional reduction.
机译:我们构造了一个在U(1)小背景场和涡旋的情况下二维耗散的正常流体的非相对论违反奇偶性的流体力学描述。这是通过采用最近发展的相对论流体力学在2 +1维上的非相对论极限来实现的。我们确定并解释了对非相对论本构关系的违反奇偶校验的贡献,其中包括垂直于温度梯度流动的霍尔电流,霍尔粘度和Leduc-Righi能量电流。我们的发现也与从光锥尺寸缩减获得的非相对论违反奇偶性的流体力学进行了比较。

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