Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Herald of Omsk University Series Psychology

Исследование неравновесной критической эволюции структурно неупорядоченной трехмерной модели Изинга

Vladimir V. Prudnikov, Pavel Vladimirovich Prudnikov, Evgenii A. Pospelov, М. В. Рычков, А. О. Шляхтин

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

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.

Related papers

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 Psychology•Jan 1, 2007•0 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 Psychology•Jan 1, 2010•0 citations

Компьютерное моделирование критического поведения трехмерной неупорядоченной модели Изинга

В. Н. Бородихин, Andrey N. Vakilov, Vladimir V. Prudnikov +1 more

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.

Matematičeskie struktury i modelirovanie•Jan 1, 2003•0 citations

Short-time dynamics and critical behavior of the three-dimensional site-diluted Ising model

Vladimir V. Prudnikov, Pavel Vladimirovich Prudnikov, Aleksandr Krinitsyn +3 more

Monte Carlo simulations of the short-time dynamic behavior are reported for three-dimensional weakly site-diluted Ising model with spin concentrations p=0.95 and 0.8 at criticality. In contrast to studies of the critical behavior of the pure systems by the short-time dynamics method, our investigations of site-diluted Ising model have revealed three stages of the dynamic evolution characterizing a crossover phenomenon from the critical behavior typical for the pure systems to behavior determined by the influence of disorder. The static and dynamic critical exponents are determined with the use of the corrections to scaling for systems starting separately from ordered and disordered initial states. The obtained values of the exponents demonstrate a universal behavior of weakly site-diluted Ising model in the critical region. The values of the exponents are compared to results of numerical simulations which have been obtained in various works and, also, with results of the renormalization-group description of this model.

arXiv:1005.5218•Physical Review E•Jan 26, 2010•44 citations

Неравновесная критическая динамика структурно-неупорядоченной трехмерной модели Изинга

Vladimir V. Prudnikov, Pavel Vladimirovich Prudnikov, М. А. Новиков +1 more

A field-theory description of the non-equilibrium critical dynamics of the three-dimensional Ising model with quenched disorder is carried out in the two-loop approximation without the use of the e-expansion.

Herald of Omsk University Series Psychology•Jan 1, 2009•0 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 Psychology•Jan 1, 2009•0 citations
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.
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.
Monte Carlo simulations of the short-time dynamic behavior are reported for three-dimensional weakly site-diluted Ising model with spin concentrations p=0.95 and 0.8 at criticality. In contrast to studies of the critical behavior of the pure systems by the short-time dynamics method, our investigations of site-diluted Ising model have revealed three stages of the dynamic evolution characterizing a crossover phenomenon from the critical behavior typical for the pure systems to behavior determined by the influence of disorder. The static and dynamic critical exponents are determined with the use of the corrections to scaling for systems starting separately from ordered and disordered initial states. The obtained values of the exponents demonstrate a universal behavior of weakly site-diluted Ising model in the critical region. The values of the exponents are compared to results of numerical simulations which have been obtained in various works and, also, with results of the renormalization-group description of this model.