Abstract
A first-principle variational approach to adiabatic collisionless plasma waves is described. The focus is made on one-dimensional electrostatic oscillations, including phase-mixed electron plasma waves (EPWs) with trapped particles, such as Bernstein-Greene-Kruskal modes. Whitham's theory is extended by an explicit calculation of the EPW Lagrangian, which is related to the oscillation-center energies of individual particles in a periodic field, and those are found by a quadrature. Some paradigmatic physics of EPWs is discussed for illustration purposes.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 54-78 |
| Number of pages | 25 |
| Journal | Fusion Science and Technology |
| Volume | 65 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2014 |
All Science Journal Classification (ASJC) codes
- Civil and Structural Engineering
- Nuclear and High Energy Physics
- Nuclear Energy and Engineering
- General Materials Science
- Mechanical Engineering
Keywords
- Adiabatic waves
- BGK modes
- Variational formalism
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