Geodesic
Ising model for spin glasses
Teoretičeskaâ i matematičeskaâ fizika, Tome 50 (1982) no. 2, pp. 272-285 
M. I. Vladimir; L. A. Dogotar'; V. A. Moskalenko. Ising model for spin glasses. Teoretičeskaâ i matematičeskaâ fizika, Tome 50 (1982) no. 2, pp. 272-285. http://geodesic.mathdoc.fr/item/TMF_1982_50_2_a8/
@article{TMF_1982_50_2_a8,
     author = {M. I. Vladimir and L. A. Dogotar' and V. A. Moskalenko},
     title = {Ising model for spin glasses},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {272--285},
     year = {1982},
     volume = {50},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_50_2_a8/}
}
TY  - JOUR
AU  - M. I. Vladimir
AU  - L. A. Dogotar'
AU  - V. A. Moskalenko
TI  - Ising model for spin glasses
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1982
SP  - 272
EP  - 285
VL  - 50
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1982_50_2_a8/
LA  - ru
ID  - TMF_1982_50_2_a8
ER  - 
%0 Journal Article
%A M. I. Vladimir
%A L. A. Dogotar'
%A V. A. Moskalenko
%T Ising model for spin glasses
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1982
%P 272-285
%V 50
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1982_50_2_a8/
%G ru
%F TMF_1982_50_2_a8

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

The diagram method of high-temperature expansions is used to study the Ising model for spin glasses. The property of stationarity of the free energy of the system with respect to the magnetic moment and the exchange field is proved. The “exactly solvable” Sherrington–Kirkpatrick model is investigated, and it is shown that in the thermodynamic limit the results obtained in the present paper agree exactly with the results obtained by the replica method. Thus, the ell-known difficulties associated with the low-temperature entropy remain.

[1] Kirkpatrick S., Sherrington D., Phys. Rev., B17:11 (1978), 4384–4403 | DOI

[2] Edwards S. F., Anderson P. W., J. Phys. F; Metal Phys., 5:5 (1975), 965–974 | DOI

[3] van Hemmen J. L., Palmer R. G., J. Phys. A; Mathematical and General, 12:4 (1979), 563–580 | DOI

[4] Klein M. W., Brout R., Phys. Rev., 132:6 (1963), 2412–2426 | DOI

[5] Pastur L. A., Figotin A. L., TMF, 35:2 (1978), 193–210 | MR

[6] Izyumov Yu. A., Kassan-ogly F. A., Skryabin Yu. N., Polevye metody v teorii ferromagnetizma, Nauka, M., 1974

[7] N. N. Bogolyubov, Izbrannye trudy, t. 3, Naukova dumka, Kiev, 1971 | MR

[8] Vasilev A. N., Radzhabov R. A., TMF, 21:1 (1974), 49–59

[9] Thouless D. I., Anderson P. W., Palmer R. G., Phil. Mag., 35:3 (1977), 593–601 | DOI