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Disorder and Nonlinearity

Proceedings of the Workshop J.R. Oppenheimer Study Center Los Alamos, New Mexico, 4–6 May, 1988

  • Conference proceedings
  • © 1989

Overview

Editors:
  1. Alan R. Bishop

    1. Los Alamos National Laboratory, Center of Nonlinear Studies, Los Alamos, USA

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  2. David K. Campbell

    1. Los Alamos National Laboratory, Center of Nonlinear Studies, Los Alamos, USA

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  3. Stephanos Pnevmatikos

    1. Los Alamos National Laboratory, Center of Nonlinear Studies, Los Alamos, USA

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Part of the book series: Springer Proceedings in Physics (SPPHY, volume 39)

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Table of contents (16 papers)

  1. Front Matter

    Pages I-VIII
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  2. Localization and Nonlinearity

    1. Front Matter

      Pages 1-1
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    2. Nonlinearity and Localization in One-Dimensional Random Media

      • R. Knapp, G. Papanicolaou, B. White
      Pages 2-26

    3. Wave Transmission in a One-Dimensional Nonlinear Lattice: Multistability and Noise

      • Yi Wan, C. M. Soukoulis
      Pages 27-37

    4. A New Look at Hopping, Trapping and Anderson Localisation

      • P. Phillips, K. Kundu, D. H. Dunlap, P. E. Parris
      Pages 38-46

    5. Nonlinearity and Randomness in Quantum Transport

      • V. M. Kenkre
      Pages 47-57

    6. Quasiparticle Motion on a Chain with Alternating Site Energies and Intersite Interactions

      • V. I. Kovanis, V. M. Kenkre
      Pages 58-61

    7. Quasiperiodic Physics in One Dimension

      • B. Sutherland
      Pages 62-69

    8. Density of States in Disordered Two-Dimensional Electron Systems

      • Bing C. Xu
      Pages 70-76

  3. Solitons and Disorder

    1. Front Matter

      Pages 77-77
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    2. Soliton Scattering by Impurities. An Analytical Approach to Interference Effects

      • Y. S. Kivshar, A. M. Kosevich, A. O. Chubykalo
      Pages 78-84

    3. Space Stochastic Perturbations of a Sine-Gordon Soliton

      • P. J. Pascual, L. Vazquez, S. Pnevmatikos, A. R. Bishop
      Pages 85-92

    4. Chaotic Dynamics of Solitons and Breathers

      • F. K. Abdullaev, S. A. Darmanyan
      Pages 93-101

    5. Proton Solitons in Hydrogen-Bonded Networks

      • G. P. Tsironis, S. Pnevmatikos, P. S. Lomdahl
      Pages 102-108

  4. Scattering and Localization

    1. Front Matter

      Pages 109-109
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    2. The Statistics of Random Backscatter: A Comparison of Theory with Computer Simulations

      • G. Papanicolaou, M. Postel, P. Sheng, B. White
      Pages 110-116

    3. Coherent Backscattering and Anderson Localization of Light

      • F. C. MacKintosh, Sajeev John
      Pages 117-126

    4. Weak Localization, Correlations and Fluctuations in Light Scattering from a Disordered Medium

      • M. J. Stephen
      Pages 127-133

    5. Nonresonant Effects in CO2 Amplifier of Ultrashort Laser Pulses

      • S. Chelkowski, A. D. Bandrauk
      Pages 134-139

  5. Postscript

    1. Front Matter

      Pages 141-141
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Keywords

About this book

ill the past three decades there has been enonnous progress in identifying the es­ sential role that "nonlinearity" plays in physical systems. Classical nonlinear wave equations can support localized, stable "soliton" solutions, and nonlinearities in quantum systems can lead to self-trapped excitations, such as polarons. Since these nonlinear excitations often dominate the transport and response properties of the systems in which they exist, accurate modeling of their effects is essential to interpreting a wide range of physical phenomena. Further, the dramatic de­ velopments in "deterministic chaos", including the recognition that even simple nonlinear dynamical systems can produce seemingly random temporal evolution, have similarly demonstrated that an understanding of chaotic dynamics is vital to an accurate interpretation of the behavior of many physical systems. As a conse­ quence of these two developments, the study of nonlinear phenomena has emerged as a subject in its own right. During these same three decades, similar progress has occurred in understand­ ing the effects of "disorder". Stimulated by Anderson's pioneering work on "dis­ ordered" quantum solid state materials, this effort has also grown into a field that now includes a variety of classical and quantum systems and treats "disorder" arising from many sources, including impurities, random spatial structures, and stochastic applied fields. Significantly, these two developments have occurred rather independently, with relatively little overlapping research.

Editors and Affiliations

  • Los Alamos National Laboratory, Center of Nonlinear Studies, Los Alamos, USA

    Alan R. Bishop, David K. Campbell, Stephanos Pnevmatikos

Bibliographic Information

  • Book Title: Disorder and Nonlinearity

  • Book Subtitle: Proceedings of the Workshop J.R. Oppenheimer Study Center Los Alamos, New Mexico, 4–6 May, 1988

  • Editors: Alan R. Bishop, David K. Campbell, Stephanos Pnevmatikos

  • Series Title: Springer Proceedings in Physics

  • DOI: https://doi.org/10.1007/978-3-642-74893-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1989

  • Softcover ISBN: 978-3-642-74895-0Published: 06 December 2011

  • eBook ISBN: 978-3-642-74893-6Published: 06 December 2012

  • Series ISSN: 0930-8989

  • Series E-ISSN: 1867-4941

  • Edition Number: 1

  • Number of Pages: VIII, 143

  • Topics: Condensed Matter Physics, Thermodynamics, Complex Systems, Statistical Physics and Dynamical Systems

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