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Reviews of topical problems


Spin-wave turbulence beyond the parametric excitation threshold

, ,

The nonlinear stage of the parametric excitation of spin waves in ferromagnetic dielectrics is reviewed. The main nonlinear mechanism which limits the amplitude of the exponentially growing waves is the ``pairing'' of waves with equal and opposite wave vectors, which leads to the violation of phase relationships. This effect is described in terms of a Hamiltonian which is diagonal in the wave pairs; The corresponding approximation is called the $S$ theory. Within the framework of this theory, the distribution of the excited waves in $\mathbf{k}$ space is singular: the waves lie on individual lines or points. Consequences of the $S$ theory and their experimental verification are discussed in detail. Collective oscillations of a spin-wave system and the origin of the observed self-modulation of their amplitude are also considered.

PACS: 75.30.Ds, 75.40.Gb, 75.60.Ej, 75.50.−y (all)
DOI: 10.1070/PU1975v017n06ABEH004404
URL: https://ufn.ru/en/articles/1975/6/q/
Citation: Zakharov V E, L’vov V S, Starobinets S S "Spin-wave turbulence beyond the parametric excitation threshold" Sov. Phys. Usp. 18 896–919 (1975)
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Оригинал: Захаров В Е, Львов В С, Старобинец С С «Турбулентность спиновых волн за порогом их параметрического возбуждения» УФН 114 609–654 (1974); DOI: 10.3367/UFNr.0114.197412b.0609

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