Numerical simulations of perturbed Vlasov equilibria

Journal Article · Fri Jun 01 04:00:00 EDT 1990 · Physics of Fluids B; (USA)

DOI:https://doi.org/10.1063/1.859265· OSTI ID:6756784

Demeio, L; Zweifel, P F ^[1]

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1. Center for Transport Theory and Mathematical Physics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061 (USA)

In this work, the long-time behavior of the solutions of the Vlasov--Poisson system when starting near a spatially homogeneous equilibrium is analyzed numerically. It is found that the asymptotic state toward which the system evolves is not a Bernstein--Green--Kruskal (BGK) equilibrium, but can rather be described by a superposition of BGK modes. Also, it is shown that the small oscillations at the plasma frequency after saturation in the one-sided bump-on-tail instability are due to beating between the unstable mode and the least stable mode.

• DOE Contract Number: FG05-87ER25033
• OSTI ID: 6756784
• Journal Information: Physics of Fluids B; (USA), Journal Name: Physics of Fluids B; (USA) Vol. 2:6; ISSN PFBPE; ISSN 0899-8221
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700107* -- Fusion Energy-- Plasma Research-- Instabilities
ALGORITHMS
ASYMPTOTIC SOLUTIONS
BOLTZMANN-VLASOV EQUATION
BUMP-IN-TAIL INSTABILITY
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUILIBRIUM
INSTABILITY
MATHEMATICAL LOGIC
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
PLASMA INSTABILITY
PLASMA MICROINSTABILITIES
POISSON EQUATION
SIMULATION