|
Teoreticheskaya i Matematicheskaya Fizika, 1982, Volume 51, Number 2, Pages 268–277
(Mi tmf2416)
|
|
|
|
This article is cited in 3 scientific papers (total in 3 papers)
Generalized hierarchical model of a scalar ferromagnet in the method of collective variables
Yu. V. Kozitskii, I. R. Yukhnovskii
Abstract:
By means of the method of collective variables and certain approximations a hierarchical
representation is obtained for the partition function of the ferromagnetic Ising model with
both short- and long-range interactions. It is shown that in the latter case the representation
is, apart from a factor, identical to the exact representation of the partition function
of the Dys0n model obtained by the same method. The approximations that lead from the
Ising model to the Dyson model are analyzed.
Received: 23.02.1981
Citation:
Yu. V. Kozitskii, I. R. Yukhnovskii, “Generalized hierarchical model of a scalar ferromagnet in the method of collective variables”, TMF, 51:2 (1982), 268–277; Theoret. and Math. Phys., 51:2 (1982), 490–497
Linking options:
https://www.mathnet.ru/eng/tmf2416 https://www.mathnet.ru/eng/tmf/v51/i2/p268
|
|