Author:
Santos D. D. A.,Elskens Yves
Abstract
We discuss the self-consistent dynamics of plasmas by means of a Hamiltonian formalism for a system of $N$ near-resonant electrons interacting with a single Langmuir wave. The connection with the Vlasov description is revisited through the numerical calculation of the van Kampen-like eigenfrequencies of the linearized dynamics for many degrees of freedom. Both the exponential-like growth as well as damping of the Langmuir wave are shown to emerge from a phase mixing effect among beam modes, revealing unexpected similarities between the stable and unstable regimes.
Publisher
Cambridge University Press (CUP)
Reference47 articles.
1. Modes of elliptical galaxies
2. Self-consistent chaos in the beam–plasma instability;Tennyson;Physica D,1994
3. Landau damping: half a century with the great discovery
4. Collisionless Damping of Nonlinear Plasma Oscillations
5. On the vibrations of the electronic plasma;Landau;J. Phys. USSR,1946