Geodesic
Pure phases of the ferromagnetic Potts model with three states on a second-order Bethe lattice
Teoretičeskaâ i matematičeskaâ fizika, Tome 85 (1990) no. 2, pp. 163-175 
N. N. Ganikhodzhaev. Pure phases of the ferromagnetic Potts model with three states on a second-order Bethe lattice. Teoretičeskaâ i matematičeskaâ fizika, Tome 85 (1990) no. 2, pp. 163-175. http://geodesic.mathdoc.fr/item/TMF_1990_85_2_a0/
@article{TMF_1990_85_2_a0,
     author = {N. N. Ganikhodzhaev},
     title = {Pure phases of~the ferromagnetic {Potts} model with three states on~a~second-order {Bethe} lattice},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {163--175},
     year = {1990},
     volume = {85},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_85_2_a0/}
}
TY  - JOUR
AU  - N. N. Ganikhodzhaev
TI  - Pure phases of the ferromagnetic Potts model with three states on a second-order Bethe lattice
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1990
SP  - 163
EP  - 175
VL  - 85
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1990_85_2_a0/
LA  - ru
ID  - TMF_1990_85_2_a0
ER  - 
%0 Journal Article
%A N. N. Ganikhodzhaev
%T Pure phases of the ferromagnetic Potts model with three states on a second-order Bethe lattice
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1990
%P 163-175
%V 85
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1990_85_2_a0/
%G ru
%F TMF_1990_85_2_a0

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

Recursion relations are obtained for the ferromagnetic Potts model with three states on a second-order Bethe lattice. It is shown that for $T there exists an uncountable number of pure phases, and a constructive description of these phases is given.

[1] Bekster R., Tochno reshaemye modeli v statisticheskoi fizike, Mir, M., 1985 | MR

[2] Dobrushin R. L., Teoriya veroyatn. i ee primen., 13:2 (1968), 201–229 | MR | Zbl

[3] Preston K., Gibbsovskie sostoyaniya na schetnykh mnozhestvakh, Mir, M., 1977 | MR

[4] Ryuel D., Statisticheskaya mekhanika. Strogie rezultaty, Mir, M., 1971

[5] Sinai Ya. G., Teoriya fazovykh perekhodov, Nauka, M., 1980 | MR

[6] Peruggi F., di Liberto F., Monroy G., J. Phys. A: Math. Gen., 16:3 (1983), 811–828 | DOI | MR

[7] Peruggi F., J. Math. Phys., 25:11 (1984), 3303–3315 | DOI | MR

[8] Peruggi F., J. Math. Phys., 25:11 (1984), 3316–3323 | DOI | MR

[9] Peruggi F., di Liberto F., Monroy G., Physica A, 141:1 (1987), 151–186 | DOI | MR

[10] Georgii H. O., “Gibbs measures and phase transitions”, De Gruyter studies in mathematics, 9, de Gruyter, Berlin–New-York, 1988 | MR | Zbl

[11] Spitzer F., Ann. Prob., 3:3 (1975), 387–398 | DOI | MR | Zbl

[12] Higuchi Y., Publ. RIMS Kyoto Univ., 13:2 (1977), 335–348 | DOI | MR | Zbl

[13] Series C. M., Sinai Ya. G., Ising models on the Lobachevsky plane, Preprint Math. Inst. Warwick Univ., Coventry, UK, 1989 ; Commun. Math. Phys., 128:1 (1990), 63–67 | MR | Zbl | DOI