Sciact
  • EN
  • RU

A machine-learning based approach to the evaluation of the critical scaling behavior of anisotropic spin systems Научная публикация

Журнал Journal of Physics: Condensed Matter
ISSN: 1361-648X
Вых. Данные Год: 2026, Том: 38, Номер: 39, Номер статьи : 395403, Страниц : 15 DOI: 10.1088/1361-648X/aea9de
Ключевые слова critical phenomena, phase transitions, anisotropic heisenberg model, convolutional neural networks, finite-size scaling, monte carlo simulations
Авторы Chubarova Alina A 1 , Mamonov Ivan A 2 , Mamonova Marina V 2 , Bogachev Mikhail I 3 , Prudnikov Pavel V 1
Организации
1 Center of New Chemical Technologies BIC, Boreskov Institute of Catalysis
2 Theoretical Physics Department, Dostoevsky Omsk State University
3 Faculty of Radio Engineering & Telecommunication, St. Petersburg State Electrotechnical University ‘LETI’

Информация о финансировании (1)

1 Министерство науки и высшего образования Российской Федерации FWUR-2024-0039

Реферат: Computational models adequately representing phase transitions and evaluating the critical system parameters are essential for the understanding of the properties of a wide range of materials. Here we propose a machine learning (ML)-based approach to the identification of the critical point in anisotropic spin systems. Our approach implies training of a convolutional neural network (CNN) model from the correlation matrices obtained by Monte Carlo simulations. Next, the pretrained model is employed as a fast estimator of the critical temperature, which can be extracted in several complementary ways from the CNN model inference, this way improving the robustness of the analysis. The ML-based estimates obtained in this study are in very good agreement with the reference Monte Carlo simulation results, while computational costs are about 10x lower compared to the classical thermodynamic approach.
Библиографическая ссылка: Chubarova A.A. , Mamonov I.A. , Mamonova M.V. , Bogachev M.I. , Prudnikov P.V.
A machine-learning based approach to the evaluation of the critical scaling behavior of anisotropic spin systems
Journal of Physics: Condensed Matter. 2026. V.38. N39. 395403 :1-15. DOI: 10.1088/1361-648X/aea9de
Даты:
Поступила в редакцию: 17 июл. 2026 г.
Принята к публикации: 18 сент. 2026 г.
Опубликована online: 29 сент. 2026 г.
Идентификаторы БД: Нет идентификаторов
Альметрики: