人造衛星觀測顯示，太空電漿在許多情形下並非處在壓力均向的狀態。本文使用兩種壓力非均向的能量方程，雙重多向性定律與修正之CGL方程組，做為封閉離子慣性尺度下之磁流體方程，並以此理論模式來探討霍爾電流對線性磁流體波傳播之影響，以及發展一維非線性壓力非均向霍爾磁流體數值碼，探討霍爾電流對壓力非均向電漿中磁流體震波形成之效應。研究結果顯示，大振幅之慢速與快速磁流體波可經由非線性陡峭形成離子尺度之慢速與快速震波。 According to the satellite observation, the space plasma pressure is usually not isotropic. In this study, we use the double-polytropic laws or modified CGL equations to close the Hall MHD equations to describe the plasma phenomena on the order of ion inertial length. These models are first used to examine how the Hall current may affect the linear MHD wave propagation in an anisotropc plasma. One-dimensional nonlinear anisotropic Hall MHD numerical codes are then developed to simulate the nonlinear evolution of Hall MHD waves. It is shown that slow and fast shocks with thickness of a few ion inertial lengths may form through the nonlinear steepening of the corresponding large amplitude waves.
