In this paper, we study anomalous hydrodynamics with a dyonic charge. We show that the local second law of thermodynamics constrains the structure of the anomaly in addition to the structure of the hydrodynamic constitutive equations. In particular, we show that not only the usual E ⋅ B term but also E2 − B2 term should be present in the anomaly with a specific coefficient for the local entropy production to be positive definite.

中文翻译：

---

带动力电荷的反常流体动力学

在本文中，我们研究了带动力电荷的异常流体动力学。我们表明，除了流体动力学本构方程的结构之外，局部热力学第二定律还限制了异常的结构。特别是，我们表明，不仅通常乙 ⋅ 乙术语但也乙2 - 乙2项应该存在于异常中，具有特定系数，以使局部熵产生是正定的。