矩形系统中渗透概率的纵横比依赖性

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Pub Date : 2000-12-01 DOI:10.1103/physreve.62.8811

Tsubakihara

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引用次数: 5

摘要

在给定的占用概率p(不限于p(c))下，我使用计算机模拟研究方形晶格的矩形系统(纵横比a)上的站点渗透。基于改进的有限尺度函数，给出并分析了渗流概率R对a的依赖关系。针对系统的给定条件(纵向尺寸L, A和p)，提出了一种不需要统计模拟的R评估方法。

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Aspect-ratio dependence of percolation probability in a rectangular system

I investigate site percolation on a rectangular system (aspect ratio a) of a square lattice for a given occupation probability p (not restricted to p(c)) using computer simulations. The dependence of the percolation probability R on a is shown and analyzed on the basis of a modified finite-size scaling function. A method for evaluating R without statistical simulations is proposed for given conditions (longitudinal dimension L, a, and p) of the system.

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Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

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