Nonlinear Properties of Composites
Up to now, in the calculation of the effective properties of composites it has been always assumed that local volt-ampere characteristics are linear, i.e., Ohm’s law is valid for each of the phases.
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Processes in Macroscopically Disordered Media From Mean Field Theory to Percolation
Transport Processes in Macroscopically Disordered Media
Andrei A. Snarskii Igor V. Bezsudnov Vladimir A. Sevryukov Alexander Morozovskiy Joseph Malinsky •
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Transport Processes in Macroscopically Disordered Media From Mean Field Theory to Percolation
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Andrei A. Snarskii Department of General and Theoretical Physics National Technical University of Ukraine “KPI” Kiev Ukraine Igor V. Bezsudnov Research and Development ZAO “NPP Nauka-Service” Moscow Russia
Alexander Morozovskiy Citibank Staten Island, NY USA Joseph Malinsky BCC CUNY Graduate Center, Physics Program Livingston, NJ USA
Vladimir A. Sevryukov ZAO “NPP Nauka-Service” Moscow Russia
ISBN 978-1-4419-8290-2 DOI 10.1007/978-1-4419-8291-9
ISBN 978-1-4419-8291-9
(eBook)
Library of Congress Control Number: 2016945936 © Springer Science+Business Media, LLC 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer Science+Business Media LLC New York
Dedicated to the memory of A.M. Dykhne
Preface
The basic problem described in this book is how one can find effective characteristics such as conductivity, dielectric permittivity, magnetic permeability, etc., knowing the distribution of different components constituting inhomogeneous medium. We consider here a wide range of recent studies dedicated to the elucidation of the physical properties of macroscopically disordered systems. They are galvano-electric, thermoelectric, and elastic properties as well as behavior of 1/fnoise, current moments, and higher harmonic generation in composites at the threshold of percolation. Our goal in writing this book is to reflect on recent advances in our understanding of percolation systems and to present in coherent fashion a very wide range of transport phenomena in inhomogeneous disordered systems. We also tried to use, as much as p
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