Complete universal scaling of first-order phase transitions in the two-dimensional Ising model
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909694548770816 |
|---|---|
| author | Zhang, Yuxiang Zhong, Fan |
| author_facet | Zhang, Yuxiang Zhong, Fan |
| contents | Phase transitions, as one of the most intriguing phenomena in nature, are divided into first-order phase transitions (FOPTs) and continuous ones in current classification. While the latter shows striking phenomena of scaling and universality, the former has recently also been demonstrated to exhibit scaling and universal behavior within a mesoscopic, coarse-grained Landau-Ginzburg theory. Here we apply this theory to a microscopic model -- the paradigmatic Ising model, which undergoes FOPTs between two ordered phases below its critical temperature -- and unambiguously demonstrate universal scaling behavior in such FOPTs. These results open the door for extending the theory to other microscopic FOPT systems and experimentally testing them to systematically uncover their scaling and universal behavior. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_00515 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Complete universal scaling of first-order phase transitions in the two-dimensional Ising model Zhang, Yuxiang Zhong, Fan Statistical Mechanics Phase transitions, as one of the most intriguing phenomena in nature, are divided into first-order phase transitions (FOPTs) and continuous ones in current classification. While the latter shows striking phenomena of scaling and universality, the former has recently also been demonstrated to exhibit scaling and universal behavior within a mesoscopic, coarse-grained Landau-Ginzburg theory. Here we apply this theory to a microscopic model -- the paradigmatic Ising model, which undergoes FOPTs between two ordered phases below its critical temperature -- and unambiguously demonstrate universal scaling behavior in such FOPTs. These results open the door for extending the theory to other microscopic FOPT systems and experimentally testing them to systematically uncover their scaling and universal behavior. |
| title | Complete universal scaling of first-order phase transitions in the two-dimensional Ising model |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2506.00515 |