In this chapter magnetohydrodynamical (MHD) equations are derived from the Boltzmann equation. First, we discuss under what conditions particle systems can be treated as magnetohydrodynamical systems. Next, the set of magnetohydrodynamical equations are derived from the Boltzmann equation by taking the moments of the equation. In this derivation of MHD equations, we examine ion and electron systems separately, because it is instructive to see the origin of electromagnetic force on fluid. Generalized Ohm’s law is also derived. In this chapter gravitational force is neglected for simplicity.

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Derivation of Magnetohydrodynamical Equations from Boltzmann Equation

  • Shoji Kato,
  • Jun Fukue

摘要

In this chapter magnetohydrodynamical (MHD) equations are derived from the Boltzmann equation. First, we discuss under what conditions particle systems can be treated as magnetohydrodynamical systems. Next, the set of magnetohydrodynamical equations are derived from the Boltzmann equation by taking the moments of the equation. In this derivation of MHD equations, we examine ion and electron systems separately, because it is instructive to see the origin of electromagnetic force on fluid. Generalized Ohm’s law is also derived. In this chapter gravitational force is neglected for simplicity.