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 |
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| 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 |
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| Организации |
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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
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