Nonlinear upper hybrid drift waves in the Vlasov-Maxwell approximation
Upper hybrid drift waves are found as a special solution to a Vlasov-Maxwell plasma which has a longitudinal electric field and a perpendicular uniform magnetic field. A single-species plasma with a constant-density mobile neutralizing background supports spatially varying disturbances that oscillate at the upper hybrid frequency. The general functional dependences of the electric field, the plasma number density, and the one-particle distribution function for the special case are found from more general Vlasov-Maxwell equations invariant under a Lie group point transformation. The one-particle distribution function for the plasma is a function of the Liouville invariant, which is the energy in the generalized Bernstein-Greene-Kruskal (BGK) reference frame, and the momentum in the drift direction.
- Research Organization:
- Department of Electrical Engineering, Washington University, St. Louis, MO 63130
- OSTI ID:
- 5933648
- Journal Information:
- IEEE Trans. Plasma Sci.; (United States), Journal Name: IEEE Trans. Plasma Sci.; (United States) Vol. PS-14:1; ISSN ITPSB
- Country of Publication:
- United States
- Language:
- English
Similar Records
Lie transformation group solutions of the nonlinear one-dimensional Vlasov equation
Space-charge effects in warm ion sheet beams in the Vlasov--Maxwell approximation