Distribution of the total spin in the spherical model with long-range potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 3, pp. 387-397
Cet article a éte moissonné depuis la source Math-Net.Ru
A one-dimensional spherical model of a ferromagnet is considered. The long-range potential ensures a phase transition in the system. The limiting distribution of the total spin, including at the critical point, is obtained.
@article{TMF_1978_34_3_a9,
author = {L. V. Bogachev},
title = {Distribution of the total spin in the spherical model with long-range potential},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {387--397},
year = {1978},
volume = {34},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1978_34_3_a9/}
}
L. V. Bogachev. Distribution of the total spin in the spherical model with long-range potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 3, pp. 387-397. http://geodesic.mathdoc.fr/item/TMF_1978_34_3_a9/
[1] T. H. Berlin, M. Kac, Phys. Rev., 86 (1952), 821 | DOI | MR | Zbl
[2] M. Kats, Ustoichivost i fazovye perekhody, Sb., «Mir», 1973 | MR
[3] S. A. Molchanov, Yu. N. Sudarev, DAN SSSR, 224 (1975), 536 | MR | Zbl
[4] Ya. G. Sinai, Teoriya veroyatn. i ee primen., XXI:1 (1976), 63–80 | MR | Zbl
[5] F. Spitser, Printsipy sluchainogo bluzhdaniya, «Mir», 1969
[6] G. Kramer, Matematicheskie metody statistiki, «Mir», 1975 | MR
[7] I. S. Gradshtein, I. M. Ryzhik, Tablitsy integralov, summ, ryadov i proizvedenii, «Nauka», 1971 | MR