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Motivation and challenge to capture both large scale and local transport in next generation accretion theory – CORRIGENDUM

Published online by Cambridge University Press:  12 July 2017

Eric G. Blackman
Affiliation:
Department of Physics and Astronomy, University of Rochester, Rochester, NY, 14627, USA
Farrukh Nauman
Affiliation:
Niels Bohr International Academy, The Niels Bohr Institute, Blegdamsvej 17, DK-2100, Copenhagen Ø, Denmark
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Abstract

Type
Corrigendum
Copyright
© Cambridge University Press 2017 

In the first paragraph of § 4.4.1 of our recently published manuscript (Blackman & Nauman Reference Blackman and Nauman2015) there is a typographical error that may cause confusion: the $b_{x}$ should be interchanged with $b_{y}$ to match the rest of the text. The corrected paragraph is below:

4.4.1. Tilt angle from fluctuating fields

Because the magnetic stress dominates the Reynolds stress we have, for the box averaged contribution from fluctuations

$$\begin{eqnarray}\unicode[STIX]{x1D6FC}_{ss}\simeq \frac{\langle b^{2}\rangle }{P}\frac{\langle b_{x}b_{y}\rangle }{\langle b^{2}\rangle }=\unicode[STIX]{x1D6FD}^{-1}\frac{\tan \unicode[STIX]{x1D703}}{(1+\tan ^{2}\unicode[STIX]{x1D703}+b_{z}^{2}/b_{y}^{2})}\sim \unicode[STIX]{x1D6FD}^{-1}\tan \unicode[STIX]{x1D703},\end{eqnarray}$$

where $\tan \unicode[STIX]{x1D703}=b_{x}/b_{y}$ , and we assume $|b_{z}/b_{y}|\ll 1$ and $\tan \unicode[STIX]{x1D703}\ll 1$ for the last similarity (justified later).

References

Blackman, E. G. & Nauman, F. 2015 Motivation and challenge to capture both large-scale and local transport in next generation accretion theory. J. Plasma Phys. 81 (5), 395810505.Google Scholar