Hutchinson I H
Plasma Science and Fusion Center and Department of Nuclear Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
Phys Rev Lett. 2008 Jul 18;101(3):035004. doi: 10.1103/PhysRevLett.101.035004.
The equations governing a collisionless obliquely flowing plasma around an ion-absorbing object in a strong magnetic field are shown to have an exact analytic solution even for an arbitrary (two-dimensional) object shape, when temperature is uniform, and diffusive transport can be ignored. The solution has an extremely simple geometric embodiment. It shows that the ion collection flux density to a convex body's surface depends only upon the orientation of the surface and provides the theoretical justification and calibration of oblique "Mach probes." The exponential form of this exact solution helps explain the approximate fit of this function to previous numerical solutions.
结果表明，在温度均匀且可忽略扩散输运的情况下，即使对于任意（二维）形状的物体，描述强磁场中围绕离子吸收物体的无碰撞斜向流动等离子体的方程也具有精确的解析解。该解具有极其简单的几何表现形式。它表明凸体表面的离子收集通量密度仅取决于表面的取向，并为斜向“马赫探针”提供了理论依据和校准。这个精确解的指数形式有助于解释该函数与先前数值解的近似拟合情况。
