Anomalous criticality coexists with giant cluster in the uniform forest model
Hao Chen, Jesús Salas, Youjin Deng
SciPost Phys. 16, 121 (2024) · published 6 May 2024
- doi: 10.21468/SciPostPhys.16.5.121
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Abstract
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.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Hao Chen,
- 2 Jesús Salas,
- 1 Youjin Deng
- 1 中国科学技术大学 / University of Science and Technology of China [USTC]
- 2 Universidad Carlos III de Madrid / Carlos III University of Madrid [UC3M]
Funders for the research work leading to this publication