论文标题
磁性流体的逐阶各向异性运输系数：Chapman-Enskog方法
Order-by-order Anisotropic Transport Coefficients of a Magnetised Fluid: a Chapman-Enskog Approach
论文作者
论文摘要
我们使用Chapman-Enskog方法中的相对论动力学理论得出了相对论热玻色子气体在磁场中相对论热玻色子气体的一阶和二阶表达式。使用相对论的Boltzmann-uehling-uhlenbeck传输方程，根据laguerre多项式与磁场依赖系数的联想laguerre多项式与磁场依赖的系数获得逐阶外平衡分布函数。评估有限磁场的动能与流体温度的无量纲比例评估逐阶各向异性传输系数。在磁场中，剪切粘度（所有顺序）分为五个不同的系数。其中有四个显示了使用碰撞内核的松弛时间近似值，如先前的研究\ cite {ashutosh1}所示。另一方面，将散装粘度分成三个组成部分（一定顺序），与磁场无关。热导率显示出相似的分裂，但依赖于场。与剪切粘度相比，导热性的一阶和二阶结果的差异是显着的。此外，在低温下，这两个结果的差异最为明显。对于高温，一阶和二阶的结果似乎迅速收敛。
We derive the first and second-order expressions for the shear, the bulk viscosity, and the thermal conductivity of a relativistic hot boson gas in a magnetic field using the relativistic kinetic theory within the Chapman-Enskog method. The order-by-order off-equilibrium distribution function is obtained in terms of the associate Laguerre polynomial with magnetic field-dependent coefficients using the relativistic Boltzmann-Uehling-Uhlenbeck transport equation. The order-by-order anisotropic transport coefficients are evaluated in powers of the dimensionless ratio of kinetic energy to the fluid temperature for finite magnetic fields. In a magnetic field, the shear viscosity (in all order) splits into five different coefficients. Four of them show a magnetic field dependence as seen in a previous study \cite{Ashutosh1} using the relaxation time approximation for the collision kernel. On the other hand, bulk viscosity, which splits into three components (in all order), is independent of the magnetic field. The thermal conductivity shows a similar splitting but is field-dependent. The difference in the first and second-order results are prominent for the thermal conductivities than the shear viscosity; moreover, the difference in the two results is most evident at low temperatures. The first and second-order results seem to converge rapidly for high temperatures.
