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  • Conference proceedings
  • © 1989

Disorder and Nonlinearity

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

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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    You can also search for this editor in PubMed   Google Scholar

  3. Stephanos Pnevmatikos

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

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    You can also search for this editor in PubMed   Google Scholar

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
    PDF

  2. Localization and Nonlinearity

    1. Front Matter

      Pages 1-1
      PDF

    2. Nonlinearity and Localization in One-Dimensional Random Media

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

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

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

    7. Quasiperiodic Physics in One Dimension

      • B. Sutherland
      Pages 62-69

  3. Solitons and Disorder

    1. Front Matter

      Pages 77-77
      PDF

    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
      PDF

    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

    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
      PDF
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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.
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Keywords

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Editors and Affiliations

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

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

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Bibliographic Information

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Access via your institution

Buy it now

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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