Geodesic
On the critical indices in the ising model
Teoretičeskaâ i matematičeskaâ fizika, Tome 7 (1971) no. 2, pp. 241-249 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Using inequalities for the correlation functions derived in an earlier paper [1] [Phys. Lett., 29A, 40 (1965)] we obtain a new inequality for the specific heat at constant magnetization $C_M$. Combining this inequality with the Rushbrooke–Griffiths inequality, the results deduced from scaling laws, and the condition of thermodynamic stability in Tiszats formulation, one can draw definite conclusions about the nature of the phase transition. 
@article{TMF_1971_7_2_a8,
     author = {V. K. Fedyanin},
     title = {On the critical indices in the ising model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {241--249},
     year = {1971},
     volume = {7},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1971_7_2_a8/}
}
TY  - JOUR
AU  - V. K. Fedyanin
TI  - On the critical indices in the ising model
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1971
SP  - 241
EP  - 249
VL  - 7
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1971_7_2_a8/
LA  - ru
ID  - TMF_1971_7_2_a8
ER  - 
%0 Journal Article
%A V. K. Fedyanin
%T On the critical indices in the ising model
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1971
%P 241-249
%V 7
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1971_7_2_a8/
%G ru
%F TMF_1971_7_2_a8
V. K. Fedyanin. On the critical indices in the ising model. Teoretičeskaâ i matematičeskaâ fizika, Tome 7 (1971) no. 2, pp. 241-249. http://geodesic.mathdoc.fr/item/TMF_1971_7_2_a8/

[1] V. K. Fedyanin, FMM, 28 (1969), 2

[2] G. S. Rushbrooke, J. Chem. Phys., 39 (1963), 842 ; R. Griffiths, J. Chem. Phys., 43 (1965), 1958 | DOI | DOI

[3] B. Widom, J. Chem. Phys., 41 (1964), 1633 ; 43 (1965), 3898 ; А. З. Паташинский, В. А. Покровский, ЖЭТФ, 50 (1966), 439; L. P. Kadanoff et al., Rev. Mod. Phys., 39 (1967), 395 | DOI | MR | DOI | DOI

[4] L. Tisza, “On the general theory of phase transitions”, Phase transformations in solids, John Wiley, 1951

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

[6] H. S. Green, C. A. Hurst, Order-disorder phenomena, John Wiley, 1964 | MR | Zbl

[7] G. F. Newelll, E. Montroll, Rev. Mod. Phys., 25 (1953), 353 | DOI | MR

[8] V. K. Fedyanin, Metod korrelyatsionnykh funktsii v modeli Izinga, Izd-vo Tartusskogo gos. un-ta, 1971

[9] M. Fischer, Rep. Progr. Phys., 30 (1967), 615 ; D. S. Gaunt, G. A. Baker, Phys. Rev., 1 (1970), 1184 | DOI | DOI

[10] D. S. Gaunt, J. C. Domb, J. Phys. C. (Solid St. Phys.), 3 (1970) | DOI

[11] S. V. Tyablikov, V. K. Fedyanin, FMM, 23 (1967), 2

[12] S. V. Tyablikov, V. K. Fedyanin, FMM, 23 (1967), 6

[13] T. Khill, Statisticheskaya mekhanika, IL, 1960

[14] N. Burbaki, Funktsii deistvitelnogo peremennogo, gl. V, «Nauka», 1965 | MR

[15] N. N. Bogolyubov, Preprint D-781, OIYaI, 1961

[16] N. N. Bogolyubov, S. V. Tyablikov, DAN SSSR, 126 (1959), 53 ; С. В. Тябликов, Методы квантовой теории магнетизма, «Наука», 1965 | Zbl | MR

[17] V. Dvorzhak, V. Yanovets, Izv. AN SSSR, 33:2 (1969)