Weakly collisional Landau damping and three-dimensional Bernstein-Greene-Kruskal modes: New results on old problemsa)

  title={Weakly collisional Landau damping and three-dimensional Bernstein-Greene-Kruskal modes: New results on old problemsa)},
  author={C. S. Ngb and Ashis Bhattacharjee},
  journal={Physics of Plasmas},
Landau damping and Bernstein-Greene-Kruskal (BGK) modes are among the most fundamental concepts in plasma physics. While the former describes the surprising damping of linear plasma waves in a collisionless plasma, the latter describes exact undamped nonlinear solutions of the Vlasov equation. There does exist a relationship between the two: Landau damping can be described as the phase mixing of undamped eigenmodes, the so-called Case–Van Kampen modes, which can be viewed as BGK modes in the… 

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