Study of nonlinear solutions of the Vlasov equation using the water-bag model

Technical Report · Fri Jun 01 04:00:00 EDT 1973

OSTI ID:4934906

Finzi, U

Thesis. Nonlinear solutions of the Vlasov--Poisson system for a onedimensional plasma model are studied. A double water-bag electron distribution function with a uniform motionless ion background is considered. The properties of the complete family of steadystate solutions arc discussed and conditions for the existence of periodic and aperiodic equilibria are calculated. The problem of the stability of aperiodic stationary states is completely solved by a perturbation technique. Results are found to be in agreement with a sufficient condition for instability derived from thermodynamic theory. The time evolution of a linearly stable twostream system towards an exact nonlinear periodic stationary state is shown to take place using computer experiments, with suitably chosen initial conditions. (FR)

• Research Organization: CEA Centre d'Etudes Nucleaires de Fontenay-aux-Roses, 92 (France). Dept. de Physique du Plasma et de la Fusion Controlee
• Sponsoring Organization: Sponsor not identified
• NSA Number: NSA-29-009163
• OSTI ID: 4934906
• Report Number(s): EUR-CEA-FC--698
• Country of Publication: France
• Language: French

Related Subjects

BOLTZMANN-VLASOV EQUATION
COLLISIONLESS PLASMA
DISTRIBUTION FUNCTIONS
ELECTRONS
EQUILIBRIUM
N70500* --Physics--Controlled Thermonuclear Research-- Kinetics (Theoretical)
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
ONE- DIMENSIONAL CALCULATIONS
PERTURBATION THEORY
POISSON EQUATION
SPATIAL DISTRIBUTION
TWO-STREAM INSTABILITY