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Nonlinear Phenomena at Phase Transitions and Instabilities

  • Book
  • © 1982

Overview

Editors:
  1. T. Riste

    1. Institute for Energy Technology, Kjeller, Norway

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Part of the book series: NATO Science Series B: (NSSB, volume 77)

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Table of contents (28 chapters)

  1. Front Matter

    Pages i-xii
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  2. Anharmonic Properties near Structural Phase Transitions

    • K. Alex Müller
    Pages 1-34

  3. The Theory of Structural Phase Transitions: Universality and Quasi-Elastic Scattering Phenomena

    • Alastair D. Bruce
    Pages 35-68

  4. Dynamic Correlations in the Ordered Phase of Perovskites

    • G. Meissner, N. Menyhárd, P. Szépfalusy
    Pages 69-73

  5. Phason Light Scattering in BaMnF4

    • K. B. Lyons, T. J. Negran
    Pages 75-79

  6. Nonlinear Excitations in some Anharmonic Lattice Models

    • Helmut Büttner
    Pages 81-95

  7. Solitons in the One-Dimensional Planar Ferromagnet CsNiF3

    • R. Pynn, M. Steiner, W. Knop, K. Kakurai, J. K. Kjems
    Pages 97-103

  8. On the Possibility to Create Nonthermal Solitons in a One Dimensional Magnetic Sine Gordon System

    • D. Hackenbracht
    Pages 105-109

  9. Transport and Fluctuations in Linear Arrays of Multistable Systems

    • Markus Büttiker, Rolf Landauer
    Pages 111-143

  10. Non-Linear Thermal Convection

    • Enok Palm
    Pages 145-172

  11. Nematic Instability Induced by an Elliptical Shear

    • Elisabeth Guazzelli
    Pages 173-180

  12. Instabilities and Fluctuations

    • Vittorio Degiorgio
    Pages 181-203

  13. Steady States, Limit Cycles and the Onset of Turbulence. A few Model Calculations and Exercises

    • Manuel G. Velarde
    Pages 205-247

  14. The Physical Mechanism of Oscillatory and Finite Amplitude Instabilities in Systems with Competing Effects

    • H. N. W. Lekkerkerker
    Pages 249-254

  15. Investigation of Fluctuations and Oscillatory States in Rayleigh-Bénard Systems by Neutron Scattering

    • T. Riste, K. Otnes
    Pages 255-258

  16. A Rayleigh Bénard Experiment: Helium in a Small Box

    • A. Libchaber, J. Maurer
    Pages 259-286

  17. Period Doubling Bifurcation Route to Chaos

    • Marzio Giglio, Sergio Musazzi, Umberto Perini
    Pages 287-293

  18. Space-Time Symmetry in Doubly Periodic Circular Couette Flow

    • M. Gorman, Harry L. Swinney
    Pages 295-301

  19. The Structure and Dynamics of Non-Stationary Taylor-Vortex Flow

    • A. Brandstäter, U. Gerdts, A. Lorenzen, G. Pfister
    Pages 303-307

  20. Pattern Formation during Crystal Growth: Theory

    • J. S. Langer
    Pages 309-336
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Keywords

About this book

This NATO Advanced Study Institute, held in Geilo between March 29th and April 9th 1981, was the sixth in a series devoted to the subject of phase transitions and instabilities. The present institute was intended to provide a forum for discussion of the importance of nonlinear phenomena associated with instabilities in systems as seemingly disparate as ferroelectrics and rotating buckets of oil. Ten years ago, at the first Geilo school, the report of a central peak in the fluctuation spectrum of SrTi0 close to its 3 106 K structural phase transition demonstrated that the simple soft-mode theory of such transitions was incomplete. The missing ingredient was the essential nonlinearity of the system. Parti­ cipants at this year's Geilo school heard assessments of a decade of experimental and theoretical effort which has been expended to elucidate the nature of this nonlinearity. The importance of order­ ed clusters and the walls which bound them was stressed in this con­ text. A specific type of wall, the soliton, was discussed by a number of speakers. New experimental results which purport to demonstrate the existence of solitons in a one-dimensional ferromagnet were presented. A detailed discussion was given of the role of solitons in transport phenomena in driven multistable systems, typified by a sine-Gordon chain.

Editors and Affiliations

  • Institute for Energy Technology, Kjeller, Norway

    T. Riste

Bibliographic Information

  • Book Title: Nonlinear Phenomena at Phase Transitions and Instabilities

  • Editors: T. Riste

  • Series Title: NATO Science Series B:

  • DOI: https://doi.org/10.1007/978-1-4684-4127-7

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1982

  • Softcover ISBN: 978-1-4684-4129-1Published: 22 December 2012

  • eBook ISBN: 978-1-4684-4127-7Published: 06 December 2012

  • Series ISSN: 0258-1221

  • Edition Number: 1

  • Number of Pages: XII, 481

  • Number of Illustrations: 82 b/w illustrations

  • Topics: Solid State Physics, Spectroscopy and Microscopy

  • Industry Sectors: Electronics, Energy, Utilities & Environment

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