Query : 2006A&A...453..193M

2006A&A...453..193M - Astronomy and Astrophysics, volume 453, 193-202 (2006/7-1)

Turbulence and particle acceleration in collisionless supernovae remnant shocks. II. Cosmic-ray transport.


Abstract (from CDS):

Supernovae remnant shock waves could be at the origin of cosmic rays up to energies in excess of the knee (E≃3x1015eV) if the magnetic field is efficiently amplified by the streaming of accelerated particles in the shock precursor. This paper follows up on a previous paper (Pelletier et al. 2006, A&A, in press) which derived the properties of the MHD turbulence so generated, in particular its anisotropic character, its amplitude and its spectrum. In the present paper, we calculate the diffusion coefficients, also accounting for compression through the shock, and show that the predicted three-dimensional turbulence spectrum k{perpendicular} S_3 d(k||,k{perpendicular})∝k||-1k{perpendicular}_–α (with k|| and k{perpendicular} the wavenumber components along and perpendicular to the shock normal) generally leads to Bohm diffusion in the parallel direction. However, if the anisotropy is constrained by a relation of the form k|| ∝k{perpendicular}2/3, which arises when the turbulent energy cascade occurs at a constant rate independent of scale, then the diffusion coefficient loses its Bohm scaling and scales as in isotropic Kolmogorov turbulence. We show that these diffusion coefficients allow to account for X-ray observations of supernova remnants. This paper also calculates the modification of the Fermi cycle due to the energy lost by cosmic rays in generating upstream turbulence and the concomittant steepening of the energy spectrum. Finally we confirm that cosmic rays can produced an amplified turbulence in young SNr during their free expansion phase such that the maximal energy is close to the knee and the spectral index is close to 2.3 in the warm phase of the interstellar medium.

Abstract Copyright:

Journal keyword(s): acceleration of particles - shock waves - turbulence - ISM: supernova remnants

Simbad objects: 5

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Number of rows : 5
N Identifier Otype ICRS (J2000)
ICRS (J2000)
Mag U Mag B Mag V Mag R Mag I Sp type #ref
1850 - 2023
1 SN 1572A SN* 00 25 21.5 +64 08 27           B8 1171 1
2 NAME Lupus SN SNR 15 02 22.1 -42 05 49           ~ 1315 1
3 SNR G347.3-00.5 SNR 17 12 27 -39 41.2     12.27     ~ 710 1
4 NAME Kepler SNR Rad 17 30 40.5 -21 29 14           ~ 784 4
5 NAME Cas A SNR 23 23 24.000 +58 48 54.00     14.30     ~ 2724 1

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