{"title":"两个耦合自旋通过不同的伊辛哈密顿量的热力学几何","authors":"Nayyere Einali Saghavaz, Hosein Mohammadzadeh, Zahra Ebadi, Morteza Nattagh Najafi","doi":"10.1140/epjp/s13360-025-06695-1","DOIUrl":null,"url":null,"abstract":"<div><p>We investigate the thermodynamic geometry of systems composed of two coupled spins governed by different Ising Hamiltonians. We construct the thermodynamic parameters space and evaluate the related metric elements. Moreover, we analyze how these geometric structures change with variations in system parameters, such as coupling constants and external magnetic fields. We show that different models exhibit distinct features in thermodynamic parameters space based on the sign of thermodynamic curvature. These insights refine our understanding of the macroscopic thermodynamic behavior emerging from microscopic spin interactions.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 8","pages":""},"PeriodicalIF":2.9000,"publicationDate":"2025-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Thermodynamic geometry of two coupled spins via various Ising Hamiltonians\",\"authors\":\"Nayyere Einali Saghavaz, Hosein Mohammadzadeh, Zahra Ebadi, Morteza Nattagh Najafi\",\"doi\":\"10.1140/epjp/s13360-025-06695-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We investigate the thermodynamic geometry of systems composed of two coupled spins governed by different Ising Hamiltonians. We construct the thermodynamic parameters space and evaluate the related metric elements. Moreover, we analyze how these geometric structures change with variations in system parameters, such as coupling constants and external magnetic fields. We show that different models exhibit distinct features in thermodynamic parameters space based on the sign of thermodynamic curvature. These insights refine our understanding of the macroscopic thermodynamic behavior emerging from microscopic spin interactions.</p></div>\",\"PeriodicalId\":792,\"journal\":{\"name\":\"The European Physical Journal Plus\",\"volume\":\"140 8\",\"pages\":\"\"},\"PeriodicalIF\":2.9000,\"publicationDate\":\"2025-08-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The European Physical Journal Plus\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1140/epjp/s13360-025-06695-1\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal Plus","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjp/s13360-025-06695-1","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Thermodynamic geometry of two coupled spins via various Ising Hamiltonians
We investigate the thermodynamic geometry of systems composed of two coupled spins governed by different Ising Hamiltonians. We construct the thermodynamic parameters space and evaluate the related metric elements. Moreover, we analyze how these geometric structures change with variations in system parameters, such as coupling constants and external magnetic fields. We show that different models exhibit distinct features in thermodynamic parameters space based on the sign of thermodynamic curvature. These insights refine our understanding of the macroscopic thermodynamic behavior emerging from microscopic spin interactions.
期刊介绍:
The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences.
The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.