Wave Turbulence Under Parametric Excitation

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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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.

• Spinwellen
• Turbulenz
• magnetics
• magnetische Materialien
• parametric excitations
• parametrische Anregungen
• spin waves
• turbulence
• wave
• fluid- and aerodynamics

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

  Victor S. L’vov

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