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On the nature of “collisionless” Landau damping

✍ Scribed by R. Bilato; M. Brambilla

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
197 KB
Volume
13
Category
Article
ISSN
1007-5704

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✦ Synopsis

The essential role of collisions in Landau damping is illustrated with heuristic but quantitatively accurate arguments. They show that above a critical (and very weak) collisionality the linearization of the Vlasov equation for the perturbation and the quasilinear description of the evolution of the background distribution function are simultaneously justified, and yield a closed and internally consistent model. We argue that phase mixing is not the same as irreversibility, but greatly enhances the efficiency of collisions in causing it.

📜 SIMILAR VOLUMES

Convergence of Solutions of the Landau E
Convergence of Solutions of the Landau Equations in the Collisionless Limit
✍ Mei-Qin Zhan 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 249 KB 👁 2 views

This paper addresses the question: when the frequency of collisions vanishes, will the solutions of the Landau system converge to the solutions of the Vlasov system? We give a positive answer to the question for solutions satisfying certain regularity conditions.