标题： 手性流体的非线性响应来自 kinetic 理论 显示英文标题

标题： Nonlinear Responses of Chiral Fluids from Kinetic Theory

摘要： 通过应用包含侧跳效应的手征输运理论（CKT），研究了近局域平衡处无粘性手征流体的二阶非线性响应。结果表明，当碰撞中涉及量子修正时，在与流体速度相关的共动坐标系中可以引入非平凡的局域平衡分布函数。对于反常输运的研究，在弛豫时间（RT）近似下，考虑了反常流体力学运动方程中的量子修正以及CKT和Wigner函数的贡献，这些贡献导致反常电荷霍尔电流沿背景电场与温度（或化学势）梯度的叉乘以及温度和化学势梯度的叉乘传播。另一方面，在经典RT近似下，电荷密度上的非线性量子修正消失，这实际上满足由CKT得到的反常方程所给出的匹配条件。 显示英文摘要

摘要： The second-order nonlinear responses of inviscid chiral fluids near local equilibrium are investigated by applying the chiral kinetic theory (CKT) incorporating side-jump effects. It is shown that the local equilibrium distribution function can be non-trivially introduced in a co-moving frame with respect to the fluid velocity when the quantum corrections in collisions are involved. For the study of anomalous transport, contributions from both quantum corrections in anomalous hydrodynamic equations of motion and those from the CKT and Wigner functions are considered under the relaxation-time (RT) approximation, which result in anomalous charge Hall currents propagating along the cross product of the background electric field and the temperature (or chemical-potential) gradient and of the temperature and chemical-potential gradients. On the other hand, the nonlinear quantum correction on the charge density vanishes in the classical RT approximation, which in fact satisfies the matching condition given by the anomalous equation obtained from the CKT.