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Title: Excitation of flow instabilities due to nonlinear scale invariance

A novel route to instabilities and turbulence in fluid and plasma flows is presented in kinetic Vlasov-Maxwell model. New kind of flow instabilities is shown to arise due to the availability of new kinetic energy sources which are absent in conventional treatments. The present approach is based on a scale invariant nonlinear analytic formalism developed to address irregular motions on a chaotic attractor or in turbulence in a more coherent manner. We have studied two specific applications of this turbulence generating mechanism. The warm plasma Langmuir wave dispersion relation is shown to become unstable in the presence of these multifractal measures. In the second application, these multifractal measures are shown to induce naturally non-Gaussian, i.e., a stretched, Gaussian distribution and anomalous transport for tracer particles from the turbulent advection-diffusion transport equation in a Vlasov plasma flow.
Authors:
 [1] ;  [2] ;  [3]
  1. Department of Mathematics, University of North Bengal, Siliguri, West Bengal 734013 (India)
  2. National Institute of Aerospace (NASA-LaRC), 100 Exploration Way, Hampton, Virginia 23666 (United States)
  3. (United States)
Publication Date:
OSTI Identifier:
22300144
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 5; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ATTRACTORS; CHAOS THEORY; DISPERSION RELATIONS; NONLINEAR PROBLEMS; PLASMA; PLASMA INSTABILITY; SCALE INVARIANCE; TRANSPORT THEORY