Astrophysical disks Collective and Stochastic Phenomena

The book deals with collective and stochastic processes in astrophysical discs involving theory, observations, and the results of modelling. Among others, it examines the spiral-vortex structure in galactic and accretion disks , stochastic and ordered str

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ASTROPHYSICS AND SPACE SCIENCE LIBRARY

ASTROPHYSICAL DISKS ALEXEI M. FRIDMAN MIKHAIL YA. MAROV ILYA G. KOVALENKO Editors

ASTROPHYSICAL DISKS

ASTROPHYSICS AND SPACE SCIENCE LIBRARY VOLUME 337

EDITORIAL BOARD Chairman W.B. BURTON, National Radio Astronomy Observatory, Charlottesville, Virginia, U.S.A. ([email protected]); University of Leiden, The Netherlands ([email protected]) Executive Committee J. M. E. KUIJPERS, University of Nijmegen, The Netherlands E. P. J. VAN DEN HEUVEL, University of Amsterdam, The Netherlands H. VAN DER LAAN, University of Utrecht, The Netherlands MEMBERS F. BERTOLA, University of Padua, Italy J. P. CASSINELLI, University of Wisconsin, Madison, U.S.A. C. J. CESARSKY, European Southern Observatory, Garching bei München, Germany O. ENGVOLD, University of Oslo, Norway A. HECK, Strasbourg Astronomical Observatory, France R. McCRAY, University of Colorado, Boulder, U.S.A. P. G. MURDIN, Institute of Astronomy, Cambridge, U.K. F. PACINI, Istituto Astronomia Arcetri, Firenze, Italy V. RADHAKRISHNAN, Raman Research Institute, Bangalore, India K. SATO, School of Science, The University of Tokyo, Japan F. H. SHU, National Tsing Hua University, Taiwan B. V. SOMOV, Astronomical Institute, Moscow State University, Russia R. A. SUNYAEV, Space Research Institute, Moscow, Russia Y. TANAKA, Institute of Space and Astronautical Science, Kanagawa, Japan S. TREMAINE, Princeton University, U.S.A. N. O. WEISS, University of Cambridge, U.K.

ASTROPHYSICAL DISKS Collective and Stochastic Phenomena

Edited by ALEXEI M. FRIDMAN Institute of Astronomy, Moscow, Russia

MIKHAIL YA. MAROV Keldysh Institute of Applied Mathematics, Moscow, Russia and

ILYA G. KOVALENKO Volgograd State University, Russia

A C.I.P. Catalogue record for this book is available from the Library of Congress.

ISBN-10 ISBN-13 ISBN-10 ISBN-13

1-4020-4347-3 (HB) 978-1-4020-4347-5 (HB) 1-4020-4348-1 (e-book) 978-1-4020-4348-2 (e-book)

Published by Springer, P.O. Box 17, 3300 AA Dordrecht, The Netherlands. www.springer.com

Printed on acid-free paper

Cover picture: “Work”, I, Michael L. Evans, Business Manager of the Astrophysical Research Consortium (ARC), performer of the SDSS, “Astrophysical Research Consortium (ARC) and the Sloan Digital Sky Survey (SDSS) Collaboration, http://www.sdss.org”

All Rights Reserved © 2006 Springer No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Printed in the Netherlands.

Contents

Contributing Authors

ix

Preface

xv

Part I Invited Papers The Over-Reflection Instability: Myth or Reality? A. M. Fridman, E. V. Polyachenko, Yu. M. Torgashin, S. G. Yanchenko, and E. N. Snezhkin

3

Chaotic and Ordered Structures in the Developed Turbulence M