Home / Store / Journals / Electronic Articles / Fusion Science and Technology / Volume 65 / Number 1
I. Y. Dodin
Fusion Science and Technology
Volume 65 / Number 1 / January 2014 / Pages 54-78
Format:electronic copy (download)
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.
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