Transition from the chaotic turbulence to the turbulent structures

A Kingsep

doi:10.1155/s1026022699000278

Abstract

Weak turbulence, similar to incoherent light, may be represented as an ensemble of quasi‐free quanta or Fourier harmonics. Unlike it, strongly turbulent state should be based on nonlinear structures. In particular, strong plasma turbulence may be constructed of discrete formations, viz., Langmuir solitons. Instead for ‘infrared catastrophe’ typical of the weakly turbulent regime, one deals with the ‘relay race’ model providing the proper direction of the energetic flux over scales from the source towards the leakage.

Highlights

This paper is devoted to the problem of the nonlinear structures as manifestations of the strongly turbulent behavior
The most typical window of parameters they use to determine the limits of its applicability, may be determined by the ’degree of turbulence’ W/n T where W is the energy density of oscillations and n T the thermal energy density
If this inequality becomes violated, intermode coupling turns out to be strong even on the level of zero order approximation. Such a turbulence is not strong in the sense of separation of oscillating and random particle motion, the quasiparticles have to be built on the base of the renormalized theory

Summary

Transition from the Chaotic Turbulence to the Turbulent Structures

Russian Research Center ’Kurchatov Institute’ 123182, Moscow, Russia (Received March I999). Similar to incoherent light, may be represented as an ensemble of quasifree quanta or Fourier harmonics. Strongly turbulent state should be based on nonlinear structures. Strong plasma turbulence may be constructed of discrete formations, viz., Langmuir solitons. Instead for ’infrared catastrophe’ typical of the weakly turbulent regime, one deals with the ’relay race’ model providing the proper direction of the energetic flux over scales from the source towards the leakage. Keywords." Strong turbulence, Nonlinear structures, Langmuir soliton, ’relay race’ scenario

INTRODUCTION

SOLITON MODEL OF THE STRONG LANGMUIR TURBULENCE

CONCLUSION