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Transition from a coherent three wave system to turbulence with application to the fluid closure

Published online by Cambridge University Press:  09 June 2014

Jan Weiland ,
Chuan S. Liu  and
Anatoly Zagorodny
Jan Weiland*
Affiliation:
Chalmers University of Technology and EURATOM-VR Association, S-41296 Gothenburg, Sweden
Chuan S. Liu
Affiliation:
East-West Space Science Center, University of Maryland, College Park, MD, USA
Anatoly Zagorodny
Affiliation:
Bogoliubov Institute for Theoretical Physics, Kiev, Ukraine
*
†Email address for correspondence: elfjw@chalmers.se
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Abstract

We start from a Mattor–Parker system and its generalization to include diffusion and derive the Random Phase equations. It is shown that the same type of fluid closure holds in the coherent and turbulent regimes. This is due to the fact that the Random Phase levels (1/I1 = 1/I2 + 1/I3), where Ij is the intensity of wave packet ‘j’, are attractors for the wave dynamics both in the coherent and incoherent cases. Focus here is on the wave dynamics with phase velocities varying due to nonlinear frequency shifts. Thus a Maxwellian distribution function is kept in all cases.

Type
Research Article
Information
Journal of Plasma Physics , Volume 81 , Issue 1 , January 2015 , 905810101
Copyright
Copyright © Cambridge University Press 2014 

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