Computer simulation of the critical behavior of magnetic systems with competition between the short- and long-range interactions
- Authors: Belim S.V.1, Larionov I.B.1, Soloneckiy R.V.2
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Affiliations:
- Omsk State University
- Bashkir State University
- Issue: Vol 117, No 11 (2016)
- Pages: 1079-1084
- Section: Electrical and Magnetic Properties
- URL: https://journals.rcsi.science/0031-918X/article/view/166391
- DOI: https://doi.org/10.1134/S0031918X1611003X
- ID: 166391
Cite item
Abstract
Critical behavior of Ising ferromagnetic systems with the competition between short- and long-range interactions near the point of a second-order phase transition has been investigated. The effects of long-range interaction lead to the need to calculate the influence of next-nearest spins, which lie inside the sphere of a specific radius. The study was carried out for a power law of decreaseing the exchange integral with distance for a three-dimensional Ising model with a cubic lattice. A comparison with the results of a field-theoretical approach and data of real experiments has been carried out. It has been shown that the critical temperature grows linearly with an increase in the parameters of long-range interaction. Critical exponents have been calculated at different parameters of long-range interaction. It is shown that at small dimensions of a system it is the short-range interaction that exerts the dominant effect on the critical behavior of the system. With an increase in the linear dimension of the system, long-range forces begin to dominate.
About the authors
S. V. Belim
Omsk State University
Author for correspondence.
Email: belimsv@omsu.ru
Russian Federation, pr. Mira 55a, Omsk, 644077
I. B. Larionov
Omsk State University
Email: belimsv@omsu.ru
Russian Federation, pr. Mira 55a, Omsk, 644077
R. V. Soloneckiy
Bashkir State University
Email: belimsv@omsu.ru
Russian Federation, ul. Zaki Validi 32, Ufa, 450076