Unified approach to weak turbulence

Details Unified approach to weak turbulence Unified approach to weak turbulence

Apr 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983ap%26ss..91..245v&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 91, no. 2, April 1983, p. 245-272.

Physics

Condensed Matter

Statistical Mechanics

Bogoliubov Theory, Fluctuation Theory, Homogeneous Turbulence, Low Turbulence, Plasma Turbulence, Statistical Mechanics, Correlation, Damping, Energy Conservation, Energy Spectra, Hierarchies, Nonequilibrium Plasmas, Nonlinear Equations, Propagation Modes, Wave Interaction

Scientific paper

A unified formulation of weak homogeneous turbulence has been developed by introducing Bogoliubov's (1962) expansion method, known from the dynamical theory in statistical mechanics. It enables closing the hierarchy of the associated wave-correlation functions as well as deriving dynamical equations which statistically describe the nonlinear interaction of the different modes. The latter modes may have complex frequencies, connected with the linearized problem, corresponding to either stable or unstable modes, although the nonlinearity has to be weak. For this model, some general properties such as energy conservation as well as special cases - e.g., resonant three-wave interaction, etc. - are discussed.

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