在正方形网格上的直线槽的透
Alexander S Balankin1, M A Martinez-Cruz1, F J Dorantes Benavidez1
1ESIME-Zacatenco, Instituto Politécnico Nacional, Ciudad de México 07738, Mexico.
Physical review. E
|May 17, 2024
概括
这项研究探讨了正方形网格上的槽透,发现更长的槽显著降低了透值. 槽透桥梁 站点透和连续棒透模型.
科学领域:
- 统计物理 统计物理
- 网络科学 网络科学
- 材料科学 材料科学 材料科学
背景情况:
- 透理论研究了连接网络的形成.
- 了解网络形成在各种科学领域至关重要.
研究的目的:
- 在正方形网格上调查直线槽的网站透情况.
- 分析槽长度对透值的影响.
- 描述槽透模型与其他透模型的关系.
主要方法:
- 广泛的蒙特卡洛模拟.
- 有限尺寸缩放分析. 有限尺寸缩放分析.
- 在正方形网格上 (L=50到1000) 研究了槽长 (l) 从1到L-2.
主要成果:
- 透值 (pC) 随着槽长度 (l) 的增加而大幅下降.
- pC显示最小的变化与 l/L.比率的变化 l/L.
- 对关键填充因子和透强度的衍生功能依赖于槽长度.
- 槽透在位点透 (l=1) 和连续棒透 (l→∞) 之间进行插入.
结论:
- 槽透属于与标准伯努利透相同的普遍性类.
- 每单位面积的直角无宽棒的临界数量高于随机定向的棒.
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