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 
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/
@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},
     year = {1979},
     volume = {38},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a14/}
}
TY  - JOUR
AU  - M. I. Auslender
AU  - A. B. Zolotovitskii
TI  - Critical dynamics of an impurity spin in a perromagnet above $T_C$
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1979
SP  - 422
EP  - 430
VL  - 38
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a14/
LA  - ru
ID  - TMF_1979_38_3_a14
ER  - 
%0 Journal Article
%A M. I. Auslender
%A A. B. Zolotovitskii
%T Critical dynamics of an impurity spin in a perromagnet above $T_C$
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1979
%P 422-430
%V 38
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a14/
%G ru
%F TMF_1979_38_3_a14

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Yu. A. Izyumov, M. V. Medvedev, Teoriya magnitouporyadochennykh kristallov s primesyami, «Nauka», 1971

[2] E. A. Turov, M. P. Petrov, Yadernyi magnitnyi rezonans v ferro- i antiferromagnetikakh, «Nauka», 1969

[3] V. P. Kalashnikov, M. I. Auslender, FMM, 44 (1977), 710

[4] V. P. Kalashnikov, N. V. Kozhevnikov, TMF, 37 (1978), 402

[5] G. Stenli, Fazovye perekhody i kriticheskie yavleniya, «Mir», 1973

[6] K. Kawasaki, Progr. Theor. Phys., 40 (1968), 11 | DOI | MR

[7] B. I. Halperin, P. C. Hohenberg, Phys. Rev., 177 (1969), 952 ; P. C. Hohenberg, B. I. Halperin, Rev. Mod. Phys., 49 (1977), 435 | DOI | DOI

[8] A. M. Gottlieb, O. Hohenemser, Phys. Rev. Lett., 31 (1973), 1222 | DOI

[9] M. Shaham, J. Barak, U. El-Hanany, W. W. Warren, Phys. Rev. Lett., 39 (1977), 570 | DOI

[10] K. Kawasaki, Ann. Phys. (N.-Y.), 61 (1970), 1 | DOI

[11] J. W. Lynn, Phys. Rev., B11 (1975), 2624 | DOI