摘要翻译:
本文用Monte-Carlo数值方法研究了随机平面上的位渗流问题。该方法包括从Monte-Carlo模拟生成的图中随机去除顶点的分数$q=1-p$,其中$p$是占用概率。所得到的图形是由被占用的站点的集群组成的。通过测量它们分布的几个性质,表明当占据概率超过渗流阈值$P_{c}$=0.7360(5)时,就会发生渗流。此外,临界指数与分析中已知的键渗流指数是相容的。
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英文标题:
《Site Percolation on Planar $\Phi^{3}$ Random Graphs》
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作者:
J.-P. Kownacki
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最新提交年份:
2008
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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一级分类:Physics 物理学
二级分类:High Energy Physics - Lattice 高能物理-晶格
分类描述:Lattice field theory. Phenomenology from lattice field theory. Algorithms for lattice field theory. Hardware for lattice field theory.
晶格场论。从晶格场论到现象学。格场论的算法。晶格场论硬件。
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英文摘要:
In this paper, site percolation on random $\Phi^{3}$ planar graphs is studied by Monte-Carlo numerical techniques. The method consists in randomly removing a fraction $q=1-p$ of vertices from graphs generated by Monte-Carlo simulations, where $p$ is the occupation probability. The resulting graphs are made of clusters of occupied sites. By measuring several properties of their distribution, it is shown that percolation occurs for an occupation probability above a percolation threshold $p_{c}$=0.7360(5). Moreover, critical exponents are compatible with those analytically known for bond percolation.
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PDF链接:
https://arxiv.org/pdf/705.4551