Open AccessФазовые переходы в низкоразмерных неупорядоченных моделях Поттса
Author(s) -
А.Б. Бабаев,
А.К. Муртазаев
Publication year - 2020
Publication title -
fizika tverdogo tela
Language(s) - English
Resource type - Journals
eISSN - 1726-7498
pISSN - 0367-3294
DOI - 10.21883/ftt.2020.05.49241.17m
Subject(s) - monte carlo method , impurity , cumulant , condensed matter physics , universality (dynamical systems) , phase boundary , phase transition , periodic boundary conditions , specific heat , critical exponent , statistical physics , physics , first order , boundary value problem , phase (matter) , mathematics , quantum mechanics , statistics
The Monte Carlo method is used to study phase transitions in disordered two-dimensional Potts models in which disorder is realized as nonmagnetic impurities. The temperature dependences of the thermodynamic parameters have been calculated for specific heat C , susceptibility χ, and fourth-order Binder cumulants in the dependence on spin concentration p . The calculations have been performed for the system with periodic boundary conditions. The systems with linear sizes L × L = N , L = 20–160 are considered. The incorporation of nonmagnetic impurities to a spin system is shown to possibly lead to a change of the first-order phase transition to a second-order phase transition. The problem of the universality classes of the critical behavior of low-dimensional diluted systems is discussed.