论文标题
通过非局部碰撞产生从涡度的自旋极化
Generating spin polarization from vorticity through nonlocal collisions
论文作者
论文摘要
我们使用大量自旋1/2颗粒的Wigner函数的运动方程在Boltzmann方程中得出碰撞项。在$ \ hbar $中，它包含一个非本地贡献，这是轨道转换为旋转角动量的原因。为了正确选择伪规定，能量量张量的反对称部分仅来自这种非局部贡献。我们表明，碰撞项仅在整体平衡中消失，而自旋电势则等于热涡度。在非层次论的极限中，能量弹药和自旋张量的运动方程将微极流体的流体动力学形式降低。
We derive the collision term in the Boltzmann equation using the equation of motion for the Wigner function of massive spin-1/2 particles. To next-to-lowest order in $\hbar$ it contains a nonlocal contribution, which is responsible for the conversion of orbital into spin angular momentum. In a proper choice of pseudo-gauge the antisymmetric part of the energy-momentum tensor arises solely from this nonlocal contribution. We show that the collision term vanishes only in global equilibrium and that the spin potential is then equal to the thermal vorticity. In the nonrelativistic limit, the equations of motion for the energy-momentum and spin tensors reduce to the well-known form for hydrodynamics for micropolar fluids.
