Geodesic
Critical dynamics of an impurity spin in a~perromagnet above~$T_C$
Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 3, pp. 422-430

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An approximate expression is obtained for the isothermal Green's function for the magnetic moment of an interstitial impurity in a ferromagnet in the upper kinetic region $(T\gtrsim T_C)$. This expression is used to analyze the behavior of the Green's function in the time representation in three temperature intervals near $T_C$. It is shown that the asymptotic behaviors of the Green's function at large times contain weakly damped power-law “tails” of two types, these being, respectively, the contributions of the hydrodynamic and critical spin modes of the ferromagnet. It is found that in the two regions closest to $T_C$ there does not exist a purely relaxation regime in the behavior of the considered Green's function. 
@article{TMF_1979_38_3_a14,
     author = {M. I. Auslender and A. B. Zolotovitskii},
     title = {Critical dynamics of an impurity spin in a~perromagnet above~$T_C$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {422--430},
     publisher = {mathdoc},
     volume = {38},
     number = {3},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a14/}
}
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M. I. Auslender; A. B. Zolotovitskii. Critical dynamics of an impurity spin in a~perromagnet above~$T_C$. Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 3, pp. 422-430. http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a14/