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

Определение температуры фазового перехода в модели Изинга с дальним взаимодействием методом Монте-Карло

А.А. Бирюков, И. В. Дегтярева

Published Dec 17, 2015• 0 citations
OpenAlex

Abstract

The article deals with two-dimensional and three-dimensional Ising models with the long-range spin interactions. The intensity of interaction between the spins relies decreasing with distance r as a power law r-d-σ with dimensional d and parameter σ. The research are conducted by Monte-Carlo method with Metropolis algorithm using parallel computing techniques. On the basis of nu- merical simulation the dependence of the phase transition temperature on the parameter σ is found. It is shown that at phase transition temperature decreases with increasing σ.

Related papers

MONTE-CARLO CALCULATIONS OF PHASE TRANSITION TEMPERATURE IN THE ISING MODEL WITH LONG RANGE INTERACTIONS

Alexander Alexandrovich Biryukov, Y.V. Degtyarova

The article deals with two-dimensional and three-dimensional Ising models with the long-range spin interactions. The intensity of interaction between the spins relies decreasing with distance r as a power law r-d-σ with dimensional d and parameter σ. The research are conducted by Monte-Carlo method with Metropolis algorithm using parallel computing techniques. On the basis of nu- merical simulation the dependence of the phase transition temperature on the parameter σ is found. It is shown that at phase transition temperature decreases with increasing σ.

Vestnik of Samara University Natural Science Series•Dec 17, 2015•0 citations

Компьютерное моделирование фазовых переходов в модели Изинга с дальними корреляциями

А.А. Бирюков, И. В. Дегтярева, Марк Александрович Шлеенков

In this article phase transitions in the modified two-dimensional Ising model with long-range correlations investigated. This model was studied with Monte-Carlo method and Metropolis algorithm. Critical temperature increase is shown in such model.

•Jan 1, 2012•0 citations

MONTE-CARLO SIMULATIONS OF PHASE TRANSITIONS IN THE TWO-DIMENSIONAL ISING MODEL WITH LONG-RANGE CORRELATIONS

Alexander Alexandrovich Biryukov, И. В. Дегтярева, Марк Александрович Шлеенков

In this article phase transitions in the modified two-dimensional Ising model with long-range correlations investigated. This model was studied with Monte-Carlo method and Metropolis algorithm. Critical temperature increase is shown in such model.

Vestnik of Samara University Natural Science Series•Dec 9, 2012•1 citation

Влияние магнитного поля на термодинамические и магнитные свойства антиферромагнитной модели Изинга на объемно-центрированной кубической решетке

Akai Kurbanovich Murtazaev, Рамазанов Магомедшейх Курбанович, K. Sh. Murtazaev +2 more

The influence of the external magnetic field on the phase transitions, thermodynamic and magnetic properties of the three-dimensional Ising model of antiferromagnetic on a body-centered cubic lattice taking into account the interactions of the second nearest neighbors is studied by the replica algorithm of the Monte Carlo method. A phase diagram of the dependence of the critical temperature on the external magnetic field has been constructed. It is shown that a second-order phase transition is observed in the considered range of magnetic field values

Physics of the Solid State•Jan 1, 2020•1 citation

The Critical Behavior of the Antiferromagnetic Ising Model with Long-Range Interaction Effects

С. В. Белим, И. Б. Ларионов

In this paper, the antiferromagnetic Ising model with ferromagnetic long-range interaction is modeled by the Monte Carlo method. The case of ferromagnetic long-range forces decreasing by a power law is considered. The dependence of the phase-transition temperature on long-range interaction parameters is obtained. The phase diagram was constructed at different values of long-range interaction parameters. Conditions for the existence of the frustrated state of the system were revealed.

Moscow University Physics Bulletin•Jul 1, 2018•3 citations

Применение алгоритма Метрополиса в задачах расчета характеристик ферромагнитного фазового перехода второго рода

Детченков Илья Леонидович, Масловская Анна Геннадьевна

Работа посвящена модельному расчету физических величин, характеризирующих ферромагнитный фазовый переход второго рода. Вычислительная схема реализация модели основана на эффективном алгоритме Метрополиса для двумерной модели Изинга. Представлен результат вычисленного эксперимента для тестовой задачи.The paper is devoted to model calculation of physical quantities characterizing ferromagnetic second order phase transition. The computational scheme was based on Metropolis algorithm for Ising model. The result of numerical experiment was demonstrated to express the solution of test problem.

Вестник Амурского государственного университета. Серия: Естественные и экономические науки•Jan 1, 2013•0 citations
The article deals with two-dimensional and three-dimensional Ising models with the long-range spin interactions. The intensity of interaction between the spins relies decreasing with distance r as a power law r-d-σ with dimensional d and parameter σ. The research are conducted by Monte-Carlo method with Metropolis algorithm using parallel computing techniques. On the basis of nu- merical simulation the dependence of the phase transition temperature on the parameter σ is found. It is shown that at phase transition temperature decreases with increasing σ.
The article deals with two-dimensional and three-dimensional Ising models with the long-range spin interactions. The intensity of interaction between the spins relies decreasing with distance r as a power law r-d-σ with dimensional d and parameter σ. The research are conducted by Monte-Carlo method with Metropolis algorithm using parallel computing techniques. On the basis of nu- merical simulation the dependence of the phase transition temperature on the parameter σ is found. It is shown that at phase transition temperature decreases with increasing σ.
The influence of the external magnetic field on the phase transitions, thermodynamic and magnetic properties of the three-dimensional Ising model of antiferromagnetic on a body-centered cubic lattice taking into account the interactions of the second nearest neighbors is studied by the replica algorithm of the Monte Carlo method. A phase diagram of the dependence of the critical temperature on the external magnetic field has been constructed. It is shown that a second-order phase transition is observed in the considered range of magnetic field values
Работа посвящена модельному расчету физических величин, характеризирующих ферромагнитный фазовый переход второго рода. Вычислительная схема реализация модели основана на эффективном алгоритме Метрополиса для двумерной модели Изинга. Представлен результат вычисленного эксперимента для тестовой задачи.The paper is devoted to model calculation of physical quantities characterizing ferromagnetic second order phase transition. The computational scheme was based on Metropolis algorithm for Ising model. The result of numerical experiment was demonstrated to express the solution of test problem.