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Statics and Dynamics of Nonlinear Systems

Proceedings of a Workshop at the Ettore Majorana Centre, Erice, Italy, 1–11 July, 1983

  • Conference proceedings
  • © 1983

Overview

Editors:
  1. Giorgio Benedek

    1. Dipartimento di Fisica, Università degli Studi di Milano, Milano, Italy

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  2. Heinz Bilz

    1. Max-Planck-Institut für Festkörperforschung, Stuttgart, Fed. Rep. of Germany

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  3. Roland Zeyher

    1. Max-Planck-Institut für Festkörperforschung, Stuttgart, Fed. Rep. of Germany

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Part of the book series: Springer Series in Solid-State Sciences (SSSOL, volume 47)

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Table of contents (28 papers)

  2. Solitons and Other Exact Solutions of Nonlinear Equations

    1. Front Matter

      Pages 211-211
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    2. Classical Statistical Mechanics of Lattice Dynamic Model Systems: Transfer Integral and Molecular-Dynamics Studies

      • T. Schneider
      Pages 212-241

    3. The Spectral Transform: Methods for the Fourier Analysis of Nonlinear Wave Data

      • A. R. Osborne
      Pages 242-261

    4. Kink- and Polaron-Solitons in Models of Polyacetylene and Other Peierls-Distorted Materials

      • A. Bishop
      Pages 263-270

    5. Counting Solitons and Phonons in the Toda Lattice

      • N. Theodorakopoulos
      Pages 271-277

    6. Structure of Interfaces

      • H. Müller-Krumbhaar
      Pages 278-280

    7. Commensurate Structures in Solids

      • H. Büttner, H. Frosch, G. Behnke, H. Bilz
      Pages 281-293

    8. Periodon Solutions in Two- and Three-Dimensional Lattices

      • U. Schröder, W. Kress, H. Bilz
      Pages 294-299

    9. Intrinsic Non-Linearity (in Phonon Numbers) of the Response Functions of Elastic Systems: A Proposal of Quantum Acoustics

      • N. Terzi
      Pages 300-310

  3. Back Matter

    Pages 311-314
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Keywords

About this book

The investigation of the properties of nonlinear systems is one of the fast deve­ loping areas of physics. In condensed matter physics this 'terra incognita' is approached from various starting points such as phase transitions and renormali­ zation group theory, nonlinear models, statistical mechanics and others. The study of the mutual interrelations of these disciplines is important in developing uni­ fying methods and models towards a better understanding of nonlinear systems. The present book collects the lectures and seminars delivered at the workshop on "Statics and Dynamics of Nonlinear Systems" held at the Centre for SCientific Culture "Ettore Majorana·" in Erice;· Italy, July 1 to 11, 1983, in the framework of the International School of Materials Science and Technology. Experts and young researchers came together to discuss nonlinear phenomena in condensed matter physics. The book is divided into five parts, each part containing a few general artic­ les introducing the subject, followed by related specialized papers. The first part deals with basic properties of nonlinear systems including an introduction to the general theoretical methods. Contrfbutions to the nonlinear aspects of phase transitions are collected in the second part. In the third part properties of incommensurate systems are discussed. Here, competing interactions lead to charge-density waves, soliton lattices and other complex structures. Another point of special interest, illustrated in the fourth part, is the 'chaotic' be­ havior of various systems such as Josephson junctions and discrete lattices.

Editors and Affiliations

  • Dipartimento di Fisica, Università degli Studi di Milano, Milano, Italy

    Giorgio Benedek

  • Max-Planck-Institut für Festkörperforschung, Stuttgart, Fed. Rep. of Germany

    Heinz Bilz, Roland Zeyher

Bibliographic Information

  • Book Title: Statics and Dynamics of Nonlinear Systems

  • Book Subtitle: Proceedings of a Workshop at the Ettore Majorana Centre, Erice, Italy, 1–11 July, 1983

  • Editors: Giorgio Benedek, Heinz Bilz, Roland Zeyher

  • Series Title: Springer Series in Solid-State Sciences

  • DOI: https://doi.org/10.1007/978-3-642-82135-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1983

  • Softcover ISBN: 978-3-642-82137-0Published: 15 December 2011

  • eBook ISBN: 978-3-642-82135-6Published: 06 December 2012

  • Series ISSN: 0171-1873

  • Series E-ISSN: 2197-4179

  • Edition Number: 1

  • Number of Pages: VIII, 314

  • Topics: Theoretical, Mathematical and Computational Physics, Condensed Matter Physics

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