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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2504.00511 |
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| _version_ | 1866909560400248832 |
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| author | Yu, Wenhao Li, Zinuo Xu, Liufang |
| author_facet | Yu, Wenhao Li, Zinuo Xu, Liufang |
| contents | Vicsek Model is widely used in simulations of dry active matter. We re-examined two typical phase transitions in the original Vicsek model by using the velocity correlation length. One is the noise-driven disordered-to-ordered phase transition driven by noise, which was initially considered as a second-order transition (continuous transition), but was later demonstrated by Chate's detailed study to be a first-order transition. The other one is the disordered-to-ordered phase transition driven by average distance between particles, which is a second-order transition and satisfies the hyper-scaling relation of continuous transitions. We have discovered the change of correlation length during transition indicates a critical point in continuous transition while not in the discontinuous situation. We have also provided a method to classify phase transitions in active matter systems by using the correlation length and summarized previous work within the same framework. Finally, we end up with a potential application in experiments of bactirial swarms and robotic swarms. We hope our work paves the way for both theory and experiment development of active matter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_00511 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unifying Interpretations of Phase Transitions in the Vicsek Model: Correlation Length as a Diagnostic Tool Yu, Wenhao Li, Zinuo Xu, Liufang Soft Condensed Matter Biological Physics Vicsek Model is widely used in simulations of dry active matter. We re-examined two typical phase transitions in the original Vicsek model by using the velocity correlation length. One is the noise-driven disordered-to-ordered phase transition driven by noise, which was initially considered as a second-order transition (continuous transition), but was later demonstrated by Chate's detailed study to be a first-order transition. The other one is the disordered-to-ordered phase transition driven by average distance between particles, which is a second-order transition and satisfies the hyper-scaling relation of continuous transitions. We have discovered the change of correlation length during transition indicates a critical point in continuous transition while not in the discontinuous situation. We have also provided a method to classify phase transitions in active matter systems by using the correlation length and summarized previous work within the same framework. Finally, we end up with a potential application in experiments of bactirial swarms and robotic swarms. We hope our work paves the way for both theory and experiment development of active matter. |
| title | Unifying Interpretations of Phase Transitions in the Vicsek Model: Correlation Length as a Diagnostic Tool |
| topic | Soft Condensed Matter Biological Physics |
| url | https://arxiv.org/abs/2504.00511 |