Anomalous criticality coexists with giant cluster in the uniform forest model
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910436942675968 |
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| author | Chen, Hao Salas, Jesús Deng, Youjin |
| author_facet | Chen, Hao Salas, Jesús Deng, Youjin |
| contents | We show by extensive simulations that the whole supercritical phase of the three-dimensional uniform forest model simultaneously exhibits an infinite tree and a rich variety of critical phenomena. Besides typical scalings like algebraically decaying correlation, power-law distribution of cluster sizes, and divergent correlation length, a number of anomalous behaviors emerge. The fractal dimensions for off-giant trees take different values when being measured by linear system size or gyration radius. The giant-tree size displays two-length scaling fluctuations, instead of following the central-limit theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_17210 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Anomalous criticality coexists with giant cluster in the uniform forest model Chen, Hao Salas, Jesús Deng, Youjin Statistical Mechanics We show by extensive simulations that the whole supercritical phase of the three-dimensional uniform forest model simultaneously exhibits an infinite tree and a rich variety of critical phenomena. Besides typical scalings like algebraically decaying correlation, power-law distribution of cluster sizes, and divergent correlation length, a number of anomalous behaviors emerge. The fractal dimensions for off-giant trees take different values when being measured by linear system size or gyration radius. The giant-tree size displays two-length scaling fluctuations, instead of following the central-limit theorem. |
| title | Anomalous criticality coexists with giant cluster in the uniform forest model |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2309.17210 |