论文标题
可压缩的两流体血浆湍流中的比例到尺度的能量传递速率
Scale-to-scale energy transfer rate in compressible two-fluid plasma turbulence
论文作者
论文摘要
我们在三维可压缩的两流体等离子体湍流中得出了能量转移的确切关系。在长期限制中，我们获得了一个确切的定律，该定律以每个物种的流体变量，电场和磁场以及电流密度的两个点增量表示，表达了比例到规模的平均能量通量率，并对湍流动力学构成了强大的限制。在适当的假设下，恢复了不可压缩的单流体和两流体限制以及可压缩的单流体极限。在单个流体限制中，分析是在有没有忽视电子质量的情况下进行的，从而使确切的关系适合于更广泛的应用。在可压缩的两种流体状态下，与单个流体情况不同，总能量通量速率并没有因背景磁场的存在而改变。确切的关系提供了一种测试血浆中的一系列量表是惯性还是耗散的方法，对于了解空间和稀释天体物理等离子体的非线性性质至关重要。
We derive the exact relation for the energy transfer in three-dimensional compressible two-fluid plasma turbulence. In the long-time limit, we obtain an exact law which expresses the scale-to-scale average energy flux rate in terms of two point increments of the fluid variables of each species, electric and magnetic field and current density, and puts a strong constraint on the turbulent dynamics. The incompressible single fluid and two-fluid limits and the compressible single fluid limit are recovered under appropriate assumption. In the single fluid limits, analyses are done with and without neglecting the electron mass thereby making the exact relation suitable for a broader range of application. In the compressible two fluid regime, the total energy flux rate, unlike the single fluid case, is found to be unaltered by the presence of a background magnetic field. The exact relation provides a way to test whether a range of scales in a plasma is inertial or dissipative and is essential to understand the nonlinear nature of both space and dilute astrophysical plasmas.
