Matematičeskie struktury i modelirovanie

Компьютерное моделирование критического поведения трехмерной неупорядоченной модели Изинга

В. Н. Бородихин, Andrey N. Vakilov, Vladimir V. Prudnikov, Pavel Vladimirovich Prudnikov

Published Jan 1, 2003• 0 citations

Abstract

Using Monte Carlo simulations it was studied the three-dimensional site-diluted Ising model in a wide dilution range. The scaling functions and values of exponents for susceptibility and correlation length were determined with the use of finite size scaling method. They demonstrate the existence two classes of universal critical behavior of diluted Ising systems with different characteristics for weakly and highly disordered systems.

Related papers

Исследование неравновесной критической эволюции структурно неупорядоченной трехмерной модели Изинга

Vladimir V. Prudnikov, Pavel Vladimirovich Prudnikov, Evgenii A. Pospelov +2 more

Using Monte Carlo simulations it was studied the non-equilibrium critical evolution in the three-dimensional site-diluted weakly and strongly disordered Ising model with spin concentrations p=0.80 and 0.60. The values of exponents for power-law time dependence of magnetization and the autocorrelation function were determined. The values of two independent dynamic critical exponents z and θ were calculated. They demonstrate a good agreement with results of theoretical-field description and results of experimental investigations for weakly diluted Ising-like systems, but show visible differences with values of these exponents for strongly disordered Ising systems.

Herald of Omsk University Series PsychologyJan 1, 20080 citations

Компьютерное моделирование критического поведения трехмерной модели Гейзенберга с линейными дефектами методом коротковременной динамики

Vladimir V. Prudnikov, Pavel Vladimirovich Prudnikov, Maria A. Medvedeva +1 more

Using Monte Carlo simulations it was studied the non-equilibrium critical behavior in the three-dimensional disordered Heisenberg model with linear-correlated impurities. Short-time dynamic method was used. The new dynamic exponent θ as well as exponent z, β and ν are determined for both pure and disordered systems.

Herald of Omsk University Series PsychologyJan 1, 20080 citations

Численное исследование критической релаксации сильно неупорядоченной модели Изинга с точечными дефектами

Pavel Vladimirovich Prudnikov, Vladimir V. Prudnikov, А. В. Чабров

Using Monte Carlo simulations the nonequilibrium critical behavior of the three-dimensional site-diluted Ising model is studied by short-time dynamic method in strong disorder influence case. The dynamic exponent z as well as static exponents (3 and v are determined.

Herald of Omsk University Series PsychologyJan 1, 20100 citations

Исследование неравновесной критической релаксации в трехмерной неупорядоченной модели Изинга

Vladimir V. Prudnikov, Pavel Vladimirovich Prudnikov, Andrey N. Vakilov +1 more

Using Monte Carlo simulations it was studied the non-equilibrium critical relaxation in the three-dimensional site-diluted Ising model with spin concentration p=0.80. The values of exponents for power-law time dependence of magnetization and Binder cumulant were determined with the use of corrections to scaling method. The dynamic critical exponent z, the ratio of static exponents p7v and exponent of correction to scaling со were calculated. They demonstrate a good agreement with results of theoretical-field description and results of experimental investigations for diluted Ising-like systems.

Herald of Omsk University Series PsychologyJan 1, 20070 citations

Численное исследование неравновесного критического поведения неупорядоченной антиферромагнитной модели Изинга с эффектами случайных полей

Pavel Vladimirovich Prudnikov, М. В. Рычков, Ю С Кузнецова

Using Monte Carlo simulations the non-equilibrium critical behavior of the three-dimensional antiferromagnet Ising model with random fields effects was studied.

Herald of Omsk University Series PsychologyJan 1, 20100 citations

Численное исследование неравновесного критического поведения трехмерной модели Гейзенберга с линейными дефектами

Pavel Vladimirovich Prudnikov, Maria A. Medvedeva, П. А. Желтышев

Using Monte Carlo simulations it was studied the non-equilibrium critical behavior in the three-dimensional disordered Heisenberg model with linear-correlated impurities. Short-time dynamic method was used. The new dynamic exponent as well as exponent z, β and ν were determined for disordered systems.

Herald of Omsk University Series PsychologyJan 1, 20090 citations