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On the structure and scale of cosmic ray modified shocks

  • Author(s): Malkov, MA
  • Diamond, PH
  • Sagdeev, RZ
  • et al.
Abstract

Strong astrophysical shocks, diffusively accelerating cosmic rays (CRs) ought to develop CR precursors. The length of such precursor Lpis believed to be set by the ratio of the CR mean free path λ to the shock speed, i.e. Lp̃ cλ/Vsh̃ crg/Vsh, which is formally independent of the CR pressure Pc. owever, the x-ray observations of supernova remnant shocks suggest that the precursor scale may be significantly shorter than Lpwhich would question the above estimate unless the magnetic field is strongly amplified and the gyroradius rgis strongly reduced over a short (unresolved) spatial scale. We argue that while the CR pressure builds up ahead of the shock, the acceleration enters into a strongly nonlinear phase in which an acoustic instability, driven by the CR-pressure gradient, dominates other instabilities (at least in the case of low β plasma). In this regime the precursor steepens into a strongly nonlinear front whose size scales with the CR pressure as Lf̃ Lp. (Ls/Lp)2(Pc/Pg)2, where Lsis the scale of the developed acoustic turbulence and Pc/Pgis the ratio of CR to gas pressure. Since Ls< Lp, the precursor scale reduction may be strong in the case of even a moderate gas heating by the CRs through the acoustic and (possibly also) the other instabilities driven by the CRs. © 2010 IOP Publishing Ltd.

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