The free energy of Maxwell--Vlasov equilibria
The free energy of Maxwell--Vlasov equilibria
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麦克斯韦自由能--弗拉索夫平衡
DOI：
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发表时间：
1990
期刊：
影响因子：
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通讯作者：
D. Pfirsch
中科院分区：
文献类型：
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作者：
P. Morrison;D. Pfirsch
本文将以前导出的关于任意Vlasov-Maxwell平衡的任意微扰能量的表达式[Phys.Rev.A40，3898（1989）]变换成一种非常紧凑的形式。新的形式也得到了一个典型的变换方法求解Vlasov方程，这是基于李群理论。这种方法比以前使用的方法更简单，并提供更好的物理洞察力。最后，给出了确定负能量模式存在的方法。在这方面的问题，为什么有一个可达性约束的粒子，而不是字段，进行了讨论。
A previously derived expression [Phys. Rev. A 40, 3898 (1989)] for the energy of arbitrary perturbations about arbitrary Vlasov–Maxwell equilibria is transformed into a very compact form. The new form is also obtained by a canonical transformation method for solving Vlasov’s equation, which is based on Lie group theory. This method is simpler than the one used before and provides better physical insight. Finally, a procedure is presented for determining the existence of negative‐energy modes. In this context the question of why there is an accessibility constraint for the particles, but not for the fields, is discussed.