论文标题
Wigner功能形式主义和在扩展的磁化等离子体中的热力学量的演变
Wigner function formalism and the evolution of thermodynamic quantities in an expanding magnetized plasma
论文作者
论文摘要
通过将相对论量子动力学理论的Wigner功能形式主义与相对论磁性水力学（MHD）的基本方程相结合，我们提出了一种新的方法，以确定温度和其他热力学数量的适当时间演化，并在均匀地膨胀的热，磁性磁化和弱相互作用的血浆中。目的是研究量子校正对这种进化的贡献。我们首先根据恒定磁场的存在，根据dirac方程的溶液确定相应的Wigner函数。然后，我们使用此功能计算上述血浆的能量量张量，最终产生了其能量密度和压力。将这些数量插入相对论MHD的能量方程中，我们在选择适当的坐标系后到达温度的微分方程作为适当时间的函数。该方程的数值解会导致温度的适当时间演变。然后，后者用于确定在这种扩展和磁化等离子体中大量热力学量的演变。我们将结果与相对论MHD的其他现有结果进行比较。我们还评论点到点衰减磁场对该等离子体热力学特性的影响。
By combining the Wigner function formalism of relativistic quantum kinetic theory with fundamental equations of relativistic magnetohydrodynamics (MHD), we present a novel approach to determine the proper time evolution of the temperature and other thermodynamic quantities in a uniformly expanding hot, magnetized, and weakly interacting plasma. The aim is to study the contribution of quantum corrections to this evolution. We first determine the corresponding Wigner function in terms of the solution of the Dirac equation in the presence of a constant magnetic field. Using this function, we then compute the energy-momentum tensor of the above-mentioned plasma, which eventually yields its energy density and pressure. Plugging these quantities in the energy equation of relativistic MHD, we arrive, after choosing an appropriate coordinate system, at a differential equation for the temperature as a function of the proper time. The numerical solution of this equation leads finally to the proper time evolution of the temperature. The latter is then used to determine the evolution of a large number of thermodynamic quantities in this expanding and magnetized plasma. We compare our results with other existing results from relativistic MHD. We also comment on the effect of point to point decaying magnetic fields on the thermodynamic properties of this plasma.
