عنوان

Wave Turbulence Under Parametric Excitation :

3642752950

9783642752957

b573382

Wave Turbulence Under Parametric Excitation :

[Book]

Applications to Magnets

by Victor S. L'vov.

Berlin, Heidelberg

Springer Berlin Heidelberg

1994

(xx, 330 pages 69 illustrations)

Springer series in nonlinear dynamics.

1 Introduction to Nonlinear Wave Dynamics --; 1.1 Hamiltonian Method for Description of Waves in a Continuous Medium --; 1.2 Dimensional Estimation of Hamiltonian Coefficients --; 1.3 Dynamic Equations of Motion for Weakly Non-Conservative Wave Systems --; 1.4 Three-Wave Processes --; 1.5 Four-Wave Processes --; 2 The General Properties of Magnetodielectrics --; 2.1 Classification of Substances by Their Magnetic Properties --; 2.2 Nature of Interaction of Magnetic Moments --; 2.3 Energy of Ferromagnets in the Continuum Approximation --; 2.4 Magnetic and Crystallographic Structure of Some Magnets --; 3 Spin Waves (Magnons) in Magnetically Ordered Dielectrics --; 3.1 Hamiltonian of Magnons in Ferromagnets (FM) --; 3.2 Hamiltonian Function of Magnons in Antiferromagnets --; 3.3 Comments at the Road Fork --; 3.4 Calculation of Magnon Hamiltonian --; 4 Nonlinear Dynamics of Narrow Packets of Spin Waves --; 4.1 Elementary Processes of Spin Wave Interaction --; 4.2 Self-Focusing of Magnetoelastic Waves in Antiferromagnets (AFM) --; 4.3 Methods of Parametric Excitation of Spin Waves --; 5 Stationary Nonlinear Behavior of Parametrically Excited Waves. Basic S-Theory --; 5.1 History of the Problem --; 5.2 Statement of a Problem of Nonlinear Wave Behavior --; 5.3 Phase Relations and Mechanisms for Amplitude Limitation --; 5.4 Basic Equations of Motion in the S-Theory --; 5.5 Ground State of System of Interacting Parametric Waves --; 6 Advanced S-Theory: Supplementary Sections --; 6.1 Ground State Evolution of System with Increasing Pumping Amplitude --; 6.2 Influence of Nonlinear Damping on Parametric Excitation --; 6.3 Parametric Excitation Under the Feedback Effect on Pumping --; 6.4 Nonlinear Theory of Parametric Wave Excitation at Finite Temperatures --; 6.5 Introduction to Spatially Inhomogeneous S-Theory --; 6.6 Nonlinear Behavior of Parametric Waves from Various Branches. Asymmetrical S-Theory --; 6.7 Parametric Excitation of Waves by Noise Pumping --; 7 Non-Stationary Behavior of Parametrically Excited Waves --; 7.1 Spectrum of Collective Oscillations (CO) --; 7.2 Linear Theory of CO Resonance Excitation --; 7.3 Threshold Under Periodic Modulation of Dispersion Law --; 7.4 Large-Amplitude Collective Oscillations and Double Parametric Resonance --; 7.5 Transient Processes when Pumping is Turned on --; 7.6 Parametric Excitation Under Sweeping of Wave Frequency --; 7.7 Problems --; 8 Secondary Parametric Wave Turbulence --; 8.1 Instability of Ground State and Auto-Oscillations --; 8.2 Route to Chaos in Dynamic Systems --; 8.3 Geometry of Attractors of Secondary Parametric Turbulence of Magnons --; 8.4 Secondary Turbulence and Collapses in Narrow Parametric Wave Packets --; 9 Experimental Investigations of Parametrically Excited Magnons --; 9.1 Experimental Investigations of Parametric Instability of Magnons --; 9.2 Nonlinear Behavior of Parametric Magnons --; General Information --; 9.3 Investigations of Stationary State With One Group of Pairs --; 9.4 Electromagnetic Radiation of Parametric Magnons --; 9.5 Collective Resonance of Parametric Magnons --; 9.6 Stepwise Excitation in YIG --; 9.7 Conditions of Excitation of Auto-Oscillations of Magnons --; 9.8 Effect of Radio-Frequency Field Modulation on Parametric Resonance --; 9.9 Double Parametric Resonance and Inhomogeneous Collective Oscillations of Magnons --; 9.10 Parametric Excitation of Magnons Under Noise Modulation of their Frequencies --; 10 Nonlinear Kinetics of Parametrically Excited Waves --; 10.1 General Equations --; 10.2 Limit of the S-Theory --; 10.3 Nonlinear Theory of Parametric Excitation of Waves in Random Media --; 10.4 Consistent Nonlinear Theory for Parametric Excitation of Waves --; References.

Wave turbulence is a state far from (thermodynamic) equilibrium. It can be observed in a stormy sea, a hot plasma, a dielectric in a powerful laser beam, in magnets exposed to strong microwave fields, etc. A distinction has to be made between fully developed turbulence and parametric turbulence. The latter is the subject of the present book. Addressing not only the expert but also the graduate student it gives a comprehensive review covering developments both in the West and in Eastern Europe where major research into this field has been done. Special attention is paid to the Hamiltonian formalism, multi-wave processes, modulation instabilities, self-focusing, wave collapses, S-theory, the mean-field approximation, chaos, Feynman diagrams, and comparison with experiments (magnons, spin waves).

Acoustics.

Magnetism.

Physics.

by Victor S. L'vov.

Victor S L'vov

[Book]

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