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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.07015 |
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| _version_ | 1866910444006932480 |
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| author | Faizullina, Kamilla Burovski, Evgeni |
| author_facet | Faizullina, Kamilla Burovski, Evgeni |
| contents | We study a lattice model of a magnetic polymer where the XY spin variables are located on a self-avoiding walk (SAW) on a regular lattice in two and three dimensions. We consider the regime where both spins and conformations are dynamic, thus the XY model is defined on a dynamic lattice and conformations generate an annealed disorder. Using Monte Carlo simulations, we characterize the globule-coil and ferromagnetic phase transitions, and pay special attention to the vicinity of the theta-point. Our numerical results suggest that the transitions are continuous in two dimensions and first-order in three dimensions, which is similar to related models with Ising spins. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_07015 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | XY model on a self-avoiding walk Faizullina, Kamilla Burovski, Evgeni Statistical Mechanics Other Condensed Matter We study a lattice model of a magnetic polymer where the XY spin variables are located on a self-avoiding walk (SAW) on a regular lattice in two and three dimensions. We consider the regime where both spins and conformations are dynamic, thus the XY model is defined on a dynamic lattice and conformations generate an annealed disorder. Using Monte Carlo simulations, we characterize the globule-coil and ferromagnetic phase transitions, and pay special attention to the vicinity of the theta-point. Our numerical results suggest that the transitions are continuous in two dimensions and first-order in three dimensions, which is similar to related models with Ising spins. |
| title | XY model on a self-avoiding walk |
| topic | Statistical Mechanics Other Condensed Matter |
| url | https://arxiv.org/abs/2405.07015 |