Statistical closure approximations and the fluctuation-dissipation theorem for drift-wave interaction

Journal Article · Thu Oct 01 00:00:00 EDT 1987 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.866482· OSTI ID:6199583

Koniges, A E; Leith, C E

The statistical dynamics of a truncated (three-wave) model for drift-wave interaction are studied using numerical simulation in order to determine appropriate turbulence modeling approaches. The nonlinear dynamical equation is integrated for a Gaussian ensemble of initial states, and time-lag correlation functions and infinitesimal response functions are computed. The fluctuation-dissipation relation, an assumption of many statistical closure approximations, is shown to be qualitatively valid for statistical steady states of the system. Guided by the ensemble results, a Markovian turbulence model is selected and investigated.

• Research Organization: Lawrence Livermore National Laboratory, Livermore, California 94550
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6199583
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 30:10; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700103* -- Fusion Energy-- Plasma Research-- Kinetics
700108 -- Fusion Energy-- Plasma Research-- Wave Phenomena
CORRELATION FUNCTIONS
DRIFT INSTABILITY
ENERGY LOSSES
FLUCTUATIONS
FUNCTIONS
INSTABILITY
LOSSES
MARKOV PROCESS
MECHANICS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
PLASMA
PLASMA INSTABILITY
PLASMA MICROINSTABILITIES
SIMULATION
STATISTICAL MECHANICS
STOCHASTIC PROCESSES
TIME DEPENDENCE
TURBULENCE
VARIATIONS