A&A 431, 7 (2005)
DOI: 10.1051/0004-6361:20034038e

Erratum

Alfvén-wave transmission and test-particle acceleration in parallel relativistic shocks

R. Vainio¹ - J. J. P. Virtanen² - R. Schlickeiser³

1 - Department of Physical Sciences, PO Box 64, 00014 University of Helsinki, Finland
2 - Tuorla Observatory, University of Turku, 21500 Piikkiö, Finland
3 - Institut für Theoretische Physik IV, Ruhr-Universität Bochum, 44780 Bochum, Germany

A&A, 409, 821-829 (2003), DOI: 10.1051/0004-6361:20034038

Key words: acceleration of particles - cosmic rays - galaxies: jets - relativity - shock waves - errata, addenda

Figures 8 and 9 in "Alfvén-wave transmission and test-particle acceleration in parallel relativistic shocks'' by Vainio et al. (2003) were unfortunately produced by an erroneus plotting script. The correctly plotted figures are given here as Figs. 1 and 2, respectively. The difference of the erroneously and correctly plotted curves is not of qualitative nature and leads to no changes of the conclusions of Vainio et al. (2003).

	Figure 1: Cross helicity of the Alfvén waves at constant wave number downstream a parallel shock wave for u1=0.1  c (solid curve, $r\approx 3.995$), u1=1.0  c (dashed curve, $r\approx 3.700$), and u1=10.0  c (dot-dashed curve, $r\approx 3.038$). The upstream cross helicity is taken to be zero, the spectral index of the waves is s=1.5, and $M_{\mathrm{c}}=\sqrt{r}$.
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	Figure 2: Scattering center compression ratio, rk, of a parallel shock wave for u1=0.1  c (solid curve, $r\approx 3.995$), u1=1.0  c (dashed curve, $r\approx 3.700$), and u1=10.0  c (dot-dashed curve, $r\approx 3.038$). The upstream cross helicity is taken to be zero, the spectral index of the waves is s=1.5, and $M_{\mathrm{c}}=\sqrt{r}$.
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References

• Vainio, R., Virtanen, J. J. P., & Schlickeiser, R. 2003, A&A, 409, 821 [EDP Sciences] [NASA ADS] [CrossRef] (In the text)