多尺度Vlasov理论中的Landau阻尼
Landau damping in the multiscale Vlasov theory
摘要：
采用一个额外的单粒子分布函数作为表征微湍流内部结构的附加状态变量，扩展了Vlasov动力学理论。扩展的Vlasov方程保持了原方程的可逆性、哈密顿结构和熵守恒。在扩展的Vlasov理论的背景下，我们论证了额外分布函数的速度依赖性中的Fokker-Planck型阻尼导致了Landau阻尼。在流体力学的设置中也进行相同类型的扩展。
英文摘要：
Vlasov kinetic theory is extended by adopting an extra one particle distribution function as an additional state variable characterizing the micro-turbulence internal structure. The extended Vlasov equation keeps the reversibility, the Hamiltonian structure, and the entropy conservation of the original Vlasov equation. In the setting of the extended Vlasov theory we then argue that the Fokker-Planck type damping in the velocity dependence of the extra distribution function induces the Landau damping. The same type of extension is made also in the setting of fluid mechanics.
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