1 / 6

Turbulent diffusion as a requirement for a f ( p )  p -5 spectrum

SHINE 2006. Turbulent diffusion as a requirement for a f ( p )  p -5 spectrum. J. A. le Roux & G. M. Webb IGPP, University of California, Riverside. EQUATION FOR ENERGETIC PARTICLE TRANSPORT IN RELATIVELY LARGE-SCALE COMPRESSIVE PLASMA FLUID TURBULENCE. Turbulent convection.

zoe-noble
Télécharger la présentation

Turbulent diffusion as a requirement for a f ( p )  p -5 spectrum

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. SHINE 2006 Turbulent diffusion as a requirement for a f(p)  p-5spectrum J. A. le Roux& G. M. Webb IGPP, University of California, Riverside

  2. EQUATION FOR ENERGETIC PARTICLE TRANSPORT IN RELATIVELY LARGE-SCALE COMPRESSIVE PLASMA FLUID TURBULENCE Turbulent convection Non-linear diffusion expression whereT is turbulent diffusion Turbulent stochastic acceleration

  3. Solve transport equation assuming:(i) Equal compressive wave intensities in all directions (U* = 0)(ii) turbulent diffusion dominates spatial diffusion by Alfven waves (t >> )(iii) A steady state Equation to solve is:

  4. Solution using separation of variables is: S = 3 if  0S = 5 if   1/lc Af(p)  p-5spectrum is the natural outcome of turbulent diffusion and stochastic acceleration by relatively large-scale compressive plasma fluid turbulence

  5. Alternatively, assume: (i) Non-relativistic particles (ii) Equal compressive wave intensities in all directions (iii) A steady state (iv) integrate overpinterval [p1, p2] after multiplying transport equation with4p2Ek - energy density form Diffusive energy flux through [p1,p2]

  6. Assume turbulent diffusion dominates- f(p)  p-5 as shown before.Then one finds that: Thus a constantdiffusive energy flux through interval [p1,p2] is a natural further consequence of turbulent diffusion and stochastic acceleration by relatively large-scale compressive plasma fluid turbulence.

More Related