Abstract

Dynamics of coherent structures and turbulence of plasma drift waves.

Highlights

  • One of the most interesting and intriguing features of turbulence is its tendency to some kind of selforganization [1]

  • A simple model based on the Hasegawa-Mima equation is used to study dipole vortex interactions and turbulence of electrostatic drift waves in a plasma

  • In particular the proper orthogonal decomposition, we show that the turbulence can be characterized by a Geld of coherent structures, which dominates the dynamics of the system, and random waves interacting weakly with the coherent structures

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Summary

Ferro Fontan

F 18/51-, Marseille Cedez 20, France (Received. 11 April 1995; revised manuscript received 26 July 1995). 11 April 1995; revised manuscript received 26 July 1995). A simple model based on the Hasegawa-Mima equation is used to study dipole vortex interactions and turbulence of electrostatic drift waves in a plasma. It is shown that if nonlinear effects are important during vortex collisions, dipoles are broken into monopoles. Simulations of turbulence in both decaying and driven cases show the appearance of long-lived monopole structures. These coherent structures contribute to stop the cascade of energy to large scales, and to reach a self-organized stationary state. Some numerical evidence is done that Hasegawa-Mima turbulence has a long-time behavior that is much richer than the thermodynamic equilibrium state observed in two-dimensional hydrodynamics. In particular the proper orthogonal decomposition, we show that the turbulence can be characterized by a Geld of coherent structures, which dominates the dynamics of the system, and random waves interacting weakly with the coherent structures

INTRODUCTION
VORTEX INTERACTIONS
Dipole collisions in the conservative case
Dipole collisions in the unstable-dissipative case
DECAYING TURBULENCE
Spectrum and proper orthogona1 decomposition
DRIVEN TURBULENCE
DISCUSSION AND CONCLUSIONS
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