强磁场中相对论性流体的Kubo公式
Kubo formulas for relativistic fluids in strong magnetic fields
摘要：
考虑到量子化磁场对空间对称性的破坏，推导了理想和耗散情况下强磁化相对论流体的磁流体动力学。一套完整的传输系数，符合居里和Onsager原则，推导出热传导，以及剪切和体积粘度。结果表明，在最一般的情况下，耗散函数包含五个剪切粘度，两个体积粘度，和三个导热系数。我们使用Zubarev的非平衡统计算子方法将这些输运系数与平衡理论的关联函数联系起来。在非平衡统计算子关于相关统计参数（温度、化学势和速度）的梯度展开中，所需的关系以线性顺序出现。的传输系数铸造的形式，可以方便地计算使用平衡（瞬时）红外格林函数相对于平衡统计算子定义。
英文摘要：
Magnetohydrodynamics of strongly magnetized relativistic fluids is derived in the ideal and dissipative cases, taking into account the breaking of spatial symmetries by a quantizing magnetic field. A complete set of transport coefficients, consistent with the Curie and Onsager principles, is derived for thermal conduction, as well as shear and bulk viscosities. It is shown that in the most general case the dissipative function contains five shear viscosities, two bulk viscosities, and three thermal conductivity coefficients. We use Zubarev's non-equilibrium statistical operator method to relate these transport coefficients to correlation functions of equilibrium theory. The desired relations emerge at linear order in the expansion of the non-equilibrium statistical operator with respect to the gradients of relevant statistical parameters (temperature, chemical potential, and velocity.) The transport coefficients are cast in a form that can be conveniently computed using equilibrium (imaginary-time) infrared Green's functions defined with respect to the equilibrium statistical operator.
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