Geodesic
Kinetic theory of parametric excitation of spin waves in the case of parallel pumping
Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 3, pp. 443-452 
V. P. Seminozhenko; V. L. Sobolev; A. A. Yatsenko. Kinetic theory of parametric excitation of spin waves in the case of parallel pumping. Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 3, pp. 443-452. http://geodesic.mathdoc.fr/item/TMF_1982_52_3_a10/
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     author = {V. P. Seminozhenko and V. L. Sobolev and A. A. Yatsenko},
     title = {Kinetic theory of parametric excitation of spin waves in the case of parallel pumping},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {443--452},
     year = {1982},
     volume = {52},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_52_3_a10/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Kinetic equations are constructed for normal and anomalous mean values of the type $f_{\mathrm p}=\langle a_{\mathrm p}^+a_{\mathrm p}\rangle$, $\sigma_{\mathrm p}=\langle a_{\mathrm p} a_{- \mathrm p}\rangle$ ($a_{\mathrm p}^+$, $a_{\mathrm p}$ are magnon operators) for ferromagnets under conditions of parallel pumping. Expressions are obtained for the generalized collision integrals in the equations for the functions $f_{\mathrm p}$ and $\sigma_{\mathrm p}$. Methods of obtaining solutions of the kinetic equations in a steady regime are discussed. An equation is formulated that describes the nonequilibrium states of the magnons in a region of the spectrum far from resonance.

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