Cascade theory of plasma turbulence in a strong magnetic field

Cascade theory of plasma turbulence in strong magnetic fiel

Turbulence in a rarefied plasma

Theory for damping process in turbulent plasma, nonlinear Landau damping, correlated from Vlasov-Poisson equation

Turbulence by Electrostatic Fluctuations

Derivation of spectra of turbulence and density fluctuations in plasma from hydrodynamic descriptio

Cascade theory of plasma turbulence

Cascade theory of plasma turbulence described by small eddy group mixing with larger ones to provide gradient diffusive flo

Cascade mechanism of nonlinear interactions between modes in a turbulent plasma

Cascade mechanism for developing hydrodynamical model of nonlinear plasma turbulenc

Fluctuation theory of ambipolar diffusion in a magneto-plasma

Fluctuation theory of ambipolar diffusion in magnetoplasm

Group-kinetic theory and modeling of atmospheric turbulence

A group kinetic method is developed for analyzing eddy transport properties and relaxation to equilibrium. The purpose is to derive the spectral structure of turbulence in incompressible and compressible media. Of particular interest are: direct and inverse cascade, boundary layer turbulence, Rossby wave turbulence, two phase turbulence; compressible turbulence, and soliton turbulence. Soliton turbulence can be found in large scale turbulence, turbulence connected with surface gravity waves and nonlinear propagation of acoustical and optical waves. By letting the pressure gradient represent the elementary interaction among fluid elements and by raising the Navier-Stokes equation to higher dimensionality, the master equation was obtained for the description of the microdynamical state of turbulence

Spectral distributions of turbulence in a plasma with collisional and collisionless dissipations

Spectral distributions of turbulence in plasma with collisional and collisionless dissipation

Soliton turbulence

Theoretical and numerical works in atmospheric turbulence have used the Navier-Stokes fluid equations exclusively for describing large-scale motions. Controversy over the existence of an average temperature gradient for the very large eddies in the atmosphere suggested that a new theoretical basis for describing large-scale turbulence was necessary. A new soliton formalism as a fluid analogue that generalizes the Schrodinger equation and the Zakharov equations has been developed. This formalism, processing all the nonlinearities including those from modulation provided by the density fluctuations and from convection due to the emission of finite sound waves by velocity fluctuations, treats large-scale turbulence as coalescing and colliding solitons. The new soliton system describes large-scale instabilities more explicitly than the Navier-Stokes system because it has a nonlinearity of the gradient type, while the Navier-Stokes has a nonlinearity of the non-gradient type. The forced Schrodinger equation for strong fluctuations describes the micro-hydrodynamical state of soliton turbulence and is valid for large-scale turbulence in fluids and plasmas where internal waves can interact with velocity fluctuations

Cascade model of turbulence

Cascade mode of fluid turbulence and new expression for eddy viscosit