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Wave Turbulence Under Parametric Excitation

Applications to Magnets

  • Book
  • © 1994

Overview

Authors:
  1. Victor S. L’vov

    1. Dept. of Physics, Weizmann Institute of Science, Rehovot, Israel

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Part of the book series: Springer Series in Nonlinear Dynamics (SSNONLINEAR)

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XX
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  2. Introduction to Nonlinear Wave Dynamics

    • Victor S. L’vov
    Pages 1-34

  3. The General Properties of Magnetodielectrics

    • Victor S. L’vov
    Pages 35-53

  4. Spin Waves (Magnons) in Magnetically Ordered Dielectrics

    • Victor S. L’vov
    Pages 55-76

  5. Nonlinear Dynamics of Narrow Packets of Spin Waves

    • Victor S. L’vov
    Pages 77-94

  6. Stationary Nonlinear Behavior of Parametrically Excited Waves. Basic S-Theory

    • Victor S. L’vov
    Pages 95-119

  7. Advanced S-Theory: Supplementary Sections

    • Victor S. L’vov
    Pages 121-177

  8. Non-Stationary Behavior of Parametrically Excited Waves

    • Victor S. L’vov
    Pages 179-211

  9. Secondary Parametric Wave Turbulence

    • Victor S. L’vov
    Pages 213-241

  10. Experimental Investigations of Parametrically Excited Magnons

    • Victor S. L’vov
    Pages 243-299

  11. Nonlinear Kinetics of Parametrically Excited Waves

    • Victor S. L’vov
    Pages 301-316

  12. Back Matter

    Pages 317-332
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Keywords

About this book

WAVE TURBULENCE is a state of a system of many simultaneously excited and interacting waves characterized by an energy distribution which is not in any sense close to thermodynamic equilibrium. Such situations in a choppy sea, in a hot plasma, in dielectrics under arise, for example, a powerful laser beam, in magnets placed in a strong microwave field, etc. Among the great variety of physical situations in which wave turbulence arises, it is possible to select two large limiting groups which allow a detailed analysis. The first is fully developed wave turbulence arising when energy pumping and dissipation have essentially different space scales. In this case there is a wide power spectrum of turbulence. This type of turbulence is described in detail e. g. in Zakharov et al. 1 In the second limiting case the scales in which energy pumping and dissipation occur are the same. As a rule, in this case a narrow, almost singular spectrum of turbulence appears which is concentrated near surfaces, curves or even points in k-space. One of the most important, widely investigated and instructive examples of this kind of turbulence is parametric wave turbulence appearing as a result of the evolution of a parametric instability of waves in media under strong external periodic modulation (laser beam, microwave electromagnetic field, etc. ). The present book deals with parametric wave turbulence.

Authors and Affiliations

  • Dept. of Physics, Weizmann Institute of Science, Rehovot, Israel

    Victor S. L’vov

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