在二维定向透中路径数的分布
Leon Seeger1, Alexander K Hartmann1
1Institut for Physics, University of Oldenburg, 26111 Oldenburg, Germany.
Entropy (Basel, Switzerland)
|October 28, 2025
概括
本研究以数值方式研究2D稀释系统中的定向透路径. 我们分析了路径分布和,揭示了不同阶段对系统行为的洞察.
科学领域:
- 统计物理 统计物理
- 复杂的系统复杂的系统.
- 透理论 透理论
背景情况:
- 穿透系统表现出许多跨越路径.
- 了解路径分布对于描述系统属性至关重要.
研究的目的:
- 在2D稀释系统中数量调查定向透路径的数量.
- 分析这些路径的平均和分布.
- 在透,非透和关键阶段探索系统行为.
主要方法:
- 在L×L稀释格子上进行数值模拟.
- 计算平均 (S = logN) 作为职业密度 (p) 的函数.
- 大偏差方法用于确定低概率的路径分布P(S).
主要成果:
- 计算平均与现有数学结果的比较.
- 通过各种系统阶段对路径分布P (S) 的详细分析.
- 对特定和密度值的路径结构的表征.
结论:
- 这项研究提供了对定向透路径统计的数值见解.
- 大偏差技术可以探索罕见的路径配置.
- 这些发现有助于理解临界点附近的复杂系统行为.
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