Accession Number : ADA119567

Title :   Nonlinear Bernstein-Greene-Kruskal Wave Equilibria Subject to Global Energy and Momentum Conservation Constraints.

Descriptive Note : Technical rept.,

Corporate Author : SCIENCE APPLICATIONS INC BOULDER CO PLASMA RESEARCH INST

Personal Author(s) : Davidson,Ronald C ; Tsang,Kang T

PDF Url : ADA119567

Report Date : Sep 1982

Pagination or Media Count : 35

Abstract : The class of Bernstein-Greene-Kruskal (BGK) solutions to the nonlinear Vlasov-Poisson equations are examined within the context of the conservation of (spatially averaged) number, momentum and total energy, imposed as ancillary global constraints that connect the final saturated BGK state to a specified initial distribution function f(x,v,O). While imposing three conservation constraints of course does not uniquely determine the final BGK state, it does not remove a large degree of ambiguity as to whether particular classes of solutions are accessible from given initial conditions. It also permits a determination of important features of the final BGK state (e.g., saturation amplitude, wave phase velocity, etc.) in terms of properties of the initial distribution functions.

Descriptors :   *Wave propagation, *Electron beams, *Nonlinear differential equations, *Plasmas(Physics), Waveforms, Stationary, Solutions(General), Traveling waves, Energy transfer, Global, Energy, Momentum, Conservation, Distribution functions

Subject Categories : Statistics and Probability
      Particle Accelerators
      Plasma Physics and Magnetohydrodynamics
      Radiofrequency Wave Propagation

Distribution Statement : APPROVED FOR PUBLIC RELEASE