Open AccessКомпьютерное моделирование критического поведения двумерной слаборазбавленной антиферромагнитной модели Поттса на треугольной решетке
Author(s) -
А.Б. Бабаев,
А. К. Муртазаев,
Г.Я. Атаева,
Т.Р. Ризванова,
М.Р. Джамалудинов
Publication year - 2018
Publication title -
fizika tverdogo tela
Language(s) - English
Resource type - Journals
eISSN - 1726-7498
pISSN - 0367-3294
DOI - 10.21883/ftt.2018.06.45995.07m
Subject(s) - critical exponent , antiferromagnetism , exponent , scaling , potts model , periodic boundary conditions , condensed matter physics , statistical physics , hexagonal lattice , physics , boundary value problem , phase boundary , mathematics , phase transition , mathematical analysis , geometry , quantum mechanics , phase (matter) , linguistics , philosophy
The critical behavior of a two-dimensional weakly diluted antiferromagnetic Potts model with spin states q = 3 on a triangular lattice is computationally simulated. The systems with periodic boundary conditions were calculated, when spin concentrations p were 1.0 and 0.9. Systems with linear dimensions L × L = N and L = 9–144 were considered. Static critical exponents of heat capacity α, the susceptibility γ, the order parameter β, and critical exponent ν for a correlation radius are calculated based on a theory of finite-dimensional scaling.