均匀森林模型中反常临界性与巨型团簇共存
统计力学
2024-05-08 v3
摘要
我们通过大量模拟表明，三维均匀森林模型的整个超临界相同时呈现无穷大树与丰富的临界现象。除代数衰减关联、团簇尺寸幂律分布和关联长度发散等典型标度行为外，还涌现出若干反常行为。非巨型树的分形维数在按线性系统尺寸或回转半径度量时取不同值。巨型树尺寸呈现双长度标度涨落，而非遵循中心极限定理。
引用
@article{arxiv.2309.17210,
title = {Anomalous criticality coexists with giant cluster in the uniform forest model},
author = {Hao Chen and Jesús Salas and Youjin Deng},
journal= {arXiv preprint arXiv:2309.17210},
year = {2024}
}
备注
11 pages, 3 figures. Pdflatex. SciPost Physics style SciPost.cls is included. Minor differences with respect to v2. Final version