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On the Influence of Non-WKB Reflection on Turbulent Cascading

  • Authors: Laitinen, T.; Kissmann, R.; Fichtner, H.; Vainio, R.
  • Publication: 35th COSPAR Scientific Assembly. Held 18 - 25 July 2004, in Paris, France., p.2860, 2004
  • Theoretical study
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  • Abstract: The research of turbulence has benefited from recent MHD simulation studies. These simulations are typically limited to small spatial domains by computational requirements, and are not easily applicable to all fields of research, such as studies on solar wind heating and energetic particle transport. A different approach, employing spectral transfer of turbulence energy by diffusive or convective cascading, is often used to describe the evolution of the turbulence in large-scale systems. The descriptions of the turbulence, used in this approach, however, are often not fully consistent, and typically contain some ad-hoc form for the cascade strength, which is related to the power in inward and outward propagating waves. We study the evolution of turbulence by employing a two-equation model for diffusive cascading. For the source of inward waves, we formulate a simple approximation for the reflection of the waves from large-scale gradients. The implications of the resulting turbulence spectra are discussed.

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