{"title":"由单轴各向异性诱导的海森堡磁体相变:Wang-Landau和机器学习模拟","authors":"D. A. Druz’ev, A. A. Chubarova, P. V. Prudnikov","doi":"10.1134/S0021364025607080","DOIUrl":null,"url":null,"abstract":"<p>The critical properties of a three-dimensional anisotropic Heisenberg model in an external field has been simulated for the first time using an approach combining the Wang–Landau algorithm with machine learning methods, DBSCAN clustering, and principal component analysis. The threshold value of the parameter Δ<sub>c</sub> separating the regions of the decisive effect of uniaxial anisotropy has been determined.</p>","PeriodicalId":604,"journal":{"name":"JETP Letters","volume":"122 3","pages":"165 - 170"},"PeriodicalIF":1.3000,"publicationDate":"2025-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Phase Transitions in Heisenberg Magnets Induced by Uniaxial Anisotropy: Wang–Landau and Machine Learning Simulations\",\"authors\":\"D. A. Druz’ev, A. A. Chubarova, P. V. Prudnikov\",\"doi\":\"10.1134/S0021364025607080\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The critical properties of a three-dimensional anisotropic Heisenberg model in an external field has been simulated for the first time using an approach combining the Wang–Landau algorithm with machine learning methods, DBSCAN clustering, and principal component analysis. The threshold value of the parameter Δ<sub>c</sub> separating the regions of the decisive effect of uniaxial anisotropy has been determined.</p>\",\"PeriodicalId\":604,\"journal\":{\"name\":\"JETP Letters\",\"volume\":\"122 3\",\"pages\":\"165 - 170\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2025-09-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"JETP Letters\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0021364025607080\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"JETP Letters","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S0021364025607080","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Phase Transitions in Heisenberg Magnets Induced by Uniaxial Anisotropy: Wang–Landau and Machine Learning Simulations
The critical properties of a three-dimensional anisotropic Heisenberg model in an external field has been simulated for the first time using an approach combining the Wang–Landau algorithm with machine learning methods, DBSCAN clustering, and principal component analysis. The threshold value of the parameter Δc separating the regions of the decisive effect of uniaxial anisotropy has been determined.
期刊介绍:
All topics of experimental and theoretical physics including gravitation, field theory, elementary particles and nuclei, plasma, nonlinear phenomena, condensed matter, superconductivity, superfluidity, lasers, and surfaces.