The Frenkel-Kontorova Model Concepts, Methods, and Applications
This book presents an overview of the basic concepts, methods and applications of nonlinear low-dimensional solid-state physics based on the Frenkel--Kontorova model and its generalizations. It allows a nonspecialist to acquire foundations in the interdis
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Springer-Verlag Berlin Heidelberg GmbH
Physics and Astronomy springeronline.com
ONLINE LIBRARY
O. M. Braun Y. S. Kivshar
The FrenkelKontorova Model Concepts, Methods, and Applications
With 161 Figures
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Springer
Professor Oleg M. Braun Ukrainian Academy of Sciences Institute of Physics 03650 Kiev, Ukraine
Professor Yuri S. Kivshar Australian National University Research School of Physical Sciences and Engineering 0200 Canberra ACT, Australia
Library of Congress Cataloging-in-Puhlication Data: Braun. O.M. (Oleg M.), 1949- The Frenkel-Kontofova model:
concepts. methods, and applications / O.M. Braun. YS. Kivshar. p. em. ~ (Texts and monographs in physics, ISSN 0172-5998) Includes bibliographical references and index. ISBN 3-540-40771-5 (alk. paper) 1. Solid state physics. 2. Nonlinear theories. I. Kivshar, Y S. (Yuri S.). 1959~ II. Title, III. Series. QC 176.B68 2003 530.4' I ~dc22 2003059072
ISSN 0172-5998 ISBN 978-3-642-07397-7 ISBN 978-3-662-10331-9 (eBook) DOI 10.1007/978-3-662-10331-9 This work is subject to copyright. AII rights are reserved, whether the whole or part of the material is concemed, specifically the rights oftranslation, 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 Springcr-Verlag Berlin Heidelberg GmbH. Violations are !iable for prosecution under the German Copyright Law. springeronline.com © Springer-Verlag Berlin Heidelberg 2004 Originally published by Springer-Verlag Berlin Heidelberg N ew York in 2004 Softcover reprint of ilie hardcover Ist edition 2004
The llse of general descriptive names, registered names, trademarks, etc. in this publicati an does not imply, even in the absence of a specific statement, that such names are exempt from the relevant probreak tective laws and regulations and therefore free for general use. Typesetting: EDV-Beratung, Frank Herweg, Leutershausen Cover design: design & production GmbH, Heidelberg Printed on acid-frec paper
SPIN 10826296
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5 4 3 2 1O
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Preface
Theoretical physics deals with physical models. The main requirements for a good physical model are simplicity and universality. Universal models which can be applied to describe a variety of different phenomena are very rare in physics and, therefore, they are of key importance. Such models attract the special attention of researchers as they can be used to describe underlying physical concepts in a simple way. Such models appear again and again over the years and in various forms, thus extending their applicability and educational value. The simplest example of this kind is the model of a pendulum; this universal model serves as a paradigm which encompasses basic features of various physical systems, and appears in many problems of very different
