Plasma kinetic theory without the Markovian approximation: I

Journal Article · Fri Aug 01 04:00:00 EDT 1986 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.865538· OSTI ID:5641884

Pocobelli, G

In a homogeneous plasma with no external fields, an equation of evolution for the space-averaged distribution f-bar (v-italic,t-italic) is derived without making use of the Markovian approximation. The Vlasov equation is integrated for a limited, albeit arbitrary, time interval along analytical particle orbits. Orbit failure is avoided by considering a sequence of initial value problems. A Markovian limit is identified, in which quasilinear, resonance broadening, and mode coupling theories are recovered. Under non-Markovian conditions, the quasilinear wave--particle resonance is broadened at order E-italic/sup 2/.

• Research Organization: Department of Physics, University of Saskatchewan, Saskatoon, Canada S7N 0W0
• OSTI ID: 5641884
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 29:8; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700105* -- Fusion Energy-- Plasma Research-- Plasma Kinetics-Theoretical-- (-1987)
BOLTZMANN-VLASOV EQUATION
COUPLING
DIFFERENTIAL EQUATIONS
DISTRIBUTION FUNCTIONS
EQUATIONS
FUNCTIONS
INHOMOGENEOUS PLASMA
KINETIC EQUATIONS
LINE BROADENING
MARKOV PROCESS
NONLINEAR PROBLEMS
OSCILLATION MODES
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLES
PLASMA
PLASMA WAVES
RESONANCE
STOCHASTIC PROCESSES
TRAJECTORIES