Computer simulation was used to study phase transitions in the two-dimensional weakly diluted Potts model on a square lattice at q=5. Systems with linear dimensions L×L=N, L=10-120 are considered. Based on fourth-order Binder cumulants, it was shown that the introduction of nonmagnetic impurities into the spin system described by the two-dimensional Potts model with q=5 leads to a change in the first-order phase transition to the second-order phase transition.
Проведено компьютерное моделирование критического поведения двумерной слабо разбавленной ан-тиферромагнитной модели Поттса с числом состояний спина q = 3 на треугольной решетке. Расчеты проводились для систем с периодическими граничными условиями при концентрации спинов p = 1.0, 0.9. Рассматривались системы с линейными размерами L × L = N, L = 9−144. На основе теории конечно-размерного скейлинга рассчитаны статические критические индексы теплоемкости α, восприимчивости γ, параметра порядка β и критический индекс ν для радиуса корреляции.Исследование выполнено при финансовой поддержке РФФИ в рамках научного проекта № 16-02-00214-а.
Using the Monte Carlo method, the relative dispersions of magnetization Rm, heat capacity Rc and susceptibility Rchi are calculated for a weakly diluted three-component Potts model on a square lattice at a spin concentration p=0.90. It is revealed that the introduction of disorder in the form of non-magnetic impurities into the two-dimensional Potts model leads to non-zero values for Rm, Rc, and Rchi at the critical point. It is found that these values decrease markedly for systems with linear dimensions L>80.
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