RUS  ENG
Full version
JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2018 Volume 30, Number 12, Pages 55–62 (Mi mm4026)

This article is cited in 11 papers

Calculation of relative variance of the magnetization and susceptibility in a disordered Ising model. Results of Monte Carlo simulation

A. B. Babaevab, A. K. Murtazaevac

a Institute of Physics, Dagestan Scientific Center of RAS
b Department of Mathematics and Computer Science, Dagestan Scientific Center of RAS
c Daghestan State University

Abstract: Based on the Monte Carlo method, the relative dispersions of the magnetization $R_m$ and the susceptibility $R_\chi$ in the disordered Ising model are calculated as a function of the degree of dilution of the disorder. It is shown, that the introduction of disorder in the form of nonmagnetic impurities in the three-dimensional Ising model leads to a nonzero values for $R_m$ and $R_\chi$ at the critical point.

Keywords: Ising model, disorder, dispersion, Monte Carlo.

Received: 01.03.2018


 English version:
Mathematical Models and Computer Simulations, 2019, 11:4, 575–580


© Steklov Math. Inst. of RAS, 2024