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Springer Proceedings in Physics

Disorder and Nonlinearity

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

Editors: Bishop, Alan R., Campbell, David K., Pnevmatikos, Stephanos (Eds.)

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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.

Table of contents (16 chapters)

  • Nonlinearity and Localization in One-Dimensional Random Media

    Knapp, R. (et al.)

    Pages 2-26

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

    Wan, Yi (et al.)

    Pages 27-37

  • A New Look at Hopping, Trapping and Anderson Localisation

    Phillips, P. (et al.)

    Pages 38-46

  • Nonlinearity and Randomness in Quantum Transport

    Kenkre, V. M.

    Pages 47-57

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

    Kovanis, V. I. (et al.)

    Pages 58-61

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-3-642-74893-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $159.99
price for USA in USD
  • ISBN 978-3-642-74895-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

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
Series Volume
39
Copyright
1989
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-74893-6
DOI
10.1007/978-3-642-74893-6
Softcover ISBN
978-3-642-74895-0
Series ISSN
0930-8989
Edition Number
1
Number of Pages
VIII, 143
Topics