Nonlinear Responses of Chiral Fluids from Kinetic Theory
Nonlinear Responses of Chiral Fluids from Kinetic Theory
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DOI：
10.1103/physrevd.97.016004
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发表时间：
2017-10
影响因子：
5
通讯作者：
Y. Hidaka;Shi Pu;Di-Lun Yang
中科院分区：
文献类型：
--
作者：
Y. Hidaka;Shi Pu;Di-Lun Yang
应用考虑侧跳效应的手征动力学理论(CKT)研究了无粘手性流体在局部平衡附近的二阶非线性响应。结果表明，当涉及碰撞中的量子修正时，局域平衡分布函数可以非平凡地引入到相对于流体速度的共转坐标系中。对于反常输运的研究，在弛豫时间(RT)近似下，考虑了反常流体动力学运动方程中的量子修正以及CKT和Wigner函数的贡献，导致反常电荷霍尔电流沿背景电场和温度(或化学势)梯度以及温度和化学势梯度的交叉积传播。另一方面，在经典RT近似下，电荷密度的非线性量子修正消失了，这实际上满足了从CKT得到的反常方程所给出的匹配条件。
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 nontrivially introduced in a comoving 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.