Geodesic
Exact solution for the higher correlation functions of the linear spin-1 Ising model
Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 1, pp. 147-150 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The one-dimensional Ising problem for spin $S=1$ is solved by the method of two-time Green's functions. The chain of equations of motion admit exact decoupling and they lead to a set of exact relationships for the correlation functions, which are investigated by the “method of difference equations”. The general form of the spatial structure of the correlation functions is determined in the absence of an external magnetic field, and the main physical characteristics are obtained for an infinite chain of spins. 
@article{TMF_1972_12_1_a12,
     author = {R. T. Galiullin and M. P. Zhelifonov and B. S. Nikitin},
     title = {Exact solution for the higher correlation functions of the linear spin-1 {Ising} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {147--150},
     year = {1972},
     volume = {12},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_12_1_a12/}
}
TY  - JOUR
AU  - R. T. Galiullin
AU  - M. P. Zhelifonov
AU  - B. S. Nikitin
TI  - Exact solution for the higher correlation functions of the linear spin-1 Ising model
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1972
SP  - 147
EP  - 150
VL  - 12
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1972_12_1_a12/
LA  - ru
ID  - TMF_1972_12_1_a12
ER  - 
%0 Journal Article
%A R. T. Galiullin
%A M. P. Zhelifonov
%A B. S. Nikitin
%T Exact solution for the higher correlation functions of the linear spin-1 Ising model
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1972
%P 147-150
%V 12
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1972_12_1_a12/
%G ru
%F TMF_1972_12_1_a12
R. T. Galiullin; M. P. Zhelifonov; B. S. Nikitin. Exact solution for the higher correlation functions of the linear spin-1 Ising model. Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 1, pp. 147-150. http://geodesic.mathdoc.fr/item/TMF_1972_12_1_a12/

[1] S. V. Tyablikov, V. K. Fedyanin, FMM, 23 (1967), 193

[2] T. Oguchi, I. Ono, Progr. Theor. Phys., 35 (1966), 998 | DOI

[3] M. P. Zhelifonov, TMF, 8 (1971), 401

[4] M. P. Zhelifonov, Avtoref. kand. diss., KFTI, Kazan, 1970

[5] M. Suzuki, B. Tsujiyama, S. Katsura, J. Math. Phys., 8 (1967), 124 | DOI

[6] T. Obokata, T. Oguchi, J. Phys. Soc. Japan, 25 (1968), 322 | DOI

[7] M. Fisher, Priroda kriticheskogo sostoyaniya, «Mir», 1968