Nonlinear Cosmic Ray Diffusion Theories

This book deals with the physics of cosmic ray diffusion theory, focusing on the physics of nonlinear transport of cosmic rays through turbulent interplanetary or interstellar plasma. The author discusses fundamental processes such as cosmic ray propagati

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362

Andreas Shalchi

Nonlinear Cosmic Ray Diffusion Theories

123

Nonlinear Cosmic Ray Diffusion Theories

Astrophysics and Space Science Library EDITORIAL BOARD Chairman W. B. BURTON, National Radio Astronomy Observatory, Charlottesville, Virginia, U.S.A. ([email protected]); University of Leiden, The Netherlands ([email protected]) F. BERTOLA, University of Padua, Italy J. P. CASSINELLI, University of Wisconsin, Madison, U.S.A. C. J. CESARSKY, European Southern Observatory, Garching bei Munchen, ¨ Germany P. EHRENFREUND, Leiden University, The Netherlands O. ENGVOLD, University of Oslo, Norway A. HECK, Strasbourg Astronomical Observatory, France E. P. J. VAN DEN HEUVEL, University of Amsterdam, The Netherlands V. M. KASPI, McGill University, Montreal, Canada J. M. E. KUIJPERS, University of Nijmegen, The Netherlands H. VAN DER LAAN, University of Utrecht, The Netherlands P. G. MURDIN, Institute of Astronomy, Cambridge, UK F. PACINI, Istituto Astronomia Arcetri, Firenze, Italy V. RADHAKRISHNAN, Raman Research Institute, Bangalore, India B. V. SOMOV, Astronomical Institute, Moscow State University, Russia R. A. SUNYAEV, Space Research Institute, Moscow, Russia

Nonlinear Cosmic Ray Diffusion Theories

by

Andreas Shalchi

123

Andreas Shalchi Universität Bochum Lehrstuhl für Theoretische Physik IV Universitätsstr. 150 44780 Bochum Germany

Cover image: Credit by NASA/CXC/Rutgers/J. Warren & J. Hughes et al. c 

by A. Shalchi

ISSN: 0067-0057 ISBN: 978-3-642-00308-0 DOI: 10.1007/978-3-642-00309-7

e-ISBN: 978-3-642-00309-7

Library of Congress Control Number: 2009926026  c Springer-Verlag Berlin Heidelberg 2009 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover design: eStudio Calamar S.L. Printed on acid-free paper 9 8 7 6 5 4 3 21 Springer is part of Springer Science Business Media (www.springer.com)

Preface

If charged particles move through the interplanetary or interstellar medium, they interact with a large-scale magnetic field such as the magnetic field of the Sun or the Galactic magnetic field. As these background fields are usually nearly constant in time and space, they can be approximated by a homogeneous field. If there are no additional fields, the particle trajectory is a perfect helix along which the pa