Strictly Markovian expansion for plasma turbulence theory

Technical Report · Thu Jan 01 04:00:00 EST 1976

OSTI ID:7333356

Jones, F C

The collision operator that appears in the equation of motion for a particle distribution function that was averaged over an ensemble of random Hamiltonians is non-Markovian. It is non-Markovian in that it involves a propagated integral over the past history of the ensemble averaged distribution function. All formal expansions of this nonlinear collision operator to date preserve this non-Markovian character term by term yielding an integro-differential equation that must be converted to a diffusion equation by an additional approximation. An expansion is derived for the collision operator that is strictly Markovian to any finite order and yields a diffusion equation as the lowest nontrivial order. The validity of this expansion is seen to be the same as that of the standard quasilinear expansion. (Author) (GRA)

• OSTI ID: 7333356
• Report Number(s): N-76-17953; NASA-TM-X-71053; X-602-76-12
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700105* -- Fusion Energy-- Plasma Research-- Plasma Kinetics-Theoretical-- (-1987)
DIFFERENTIAL EQUATIONS
DISTRIBUTION FUNCTIONS
EQUATIONS
EQUATIONS OF MOTION
FUNCTIONS
HAMILTONIAN FUNCTION
MARKOV PROCESS
PLASMA
STOCHASTIC PROCESSES
TURBULENCE