论文标题

流体动力学中的非隔离性二阶传输,自旋和伪规变化

Non-dissipative second-order transport, spin, and pseudo-gauge transformations in hydrodynamics

论文作者

Li, Shiyong, Stephanov, Mikhail A., Yee, Ho-Ung

论文摘要

我们在二阶转运系数之间得出了一组非平凡关系,这些关系从第二阶定律考虑到接近流体均匀旋转的状态后,从第二阶定律中得出。我们证明,通过自旋变量扩展流体动力学等于通过满足我们得出的关系的一组二阶术语来修改常规流体动力学。我们指出,对热电流正交对涡度和温度梯度的新颖贡献让人联想到热厅效应受到第二定律的约束。

We derive a set of nontrivial relations between second-order transport coefficients which follow from the second law of thermodynamics upon considering a regime close to uniform rotation of the fluid. We demonstrate that extension of hydrodynamics by spin variable is equivalent to modifying conventional hydrodynamics by a set of second-order terms satisfying the relations we derived. We point out that a novel contribution to the heat current orthogonal to vorticity and temperature gradient reminiscent of the thermal Hall effect is constrained by the second law.

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