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The Frenkel-Kontorova Model

Concepts, Methods, and Applications

  • Oleg M. Braun
  • Yuri S. Kivshar

Part of the Texts and Monographs in Physics book series (TMP)

Table of contents

  1. Front Matter
    Pages I-XVIII
  2. Oleg M. Braun, Yuri S. Kivshar
    Pages 1-8
  3. Oleg M. Braun, Yuri S. Kivshar
    Pages 9-30
  4. Oleg M. Braun, Yuri S. Kivshar
    Pages 31-98
  5. Oleg M. Braun, Yuri S. Kivshar
    Pages 99-140
  6. Oleg M. Braun, Yuri S. Kivshar
    Pages 141-194
  7. Oleg M. Braun, Yuri S. Kivshar
    Pages 195-242
  8. Oleg M. Braun, Yuri S. Kivshar
    Pages 243-290
  9. Oleg M. Braun, Yuri S. Kivshar
    Pages 291-342
  10. Oleg M. Braun, Yuri S. Kivshar
    Pages 343-364
  11. Oleg M. Braun, Yuri S. Kivshar
    Pages 365-382
  12. Oleg M. Braun, Yuri S. Kivshar
    Pages 383-430
  13. Oleg M. Braun, Yuri S. Kivshar
    Pages 431-434
  14. Alfred Seeger
    Pages 435-440
  15. Back Matter
    Pages 441-475

About this book

Introduction

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 interdisciplinary concepts and methods of both solid-state physics and nonlinear science. It covers many important topics such as the nonlinear dynamics of discrete systems, the dynamics of solitons and their interaction, commensurate and incommensurate systems, statistical mechanics of nonlinear systems, ratchets, and nonequilibrium dynamics of interacting many-body systems. Also treated are the principal nonlinear equations along with the properties of their localized solutions and methods for their analysis.

 

Keywords

Breather DNA Dynamics Dislocation Dynamics Driven Dynamics Frenkel-Kontorova Model Kink Nonlinear Condensed Matter Physics REM Ratchet STEM Sine-Gordon Equation Thermalized Dynamics nonlinear dynamics

Authors and affiliations

  • Oleg M. Braun
    • 1
  • Yuri S. Kivshar
    • 2
  1. 1.Institute of PhysicsUkrainian Academy of SciencesKievUkraine
  2. 2.Research School of Physical Sciences and EngineeringAustralian National UniversityCanberraAustralia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-10331-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-07397-7
  • Online ISBN 978-3-662-10331-9
  • Series Print ISSN 1864-5879
  • Series Online ISSN 1864-5887
  • Buy this book on publisher's site