Rigid backbone: A new geometry for percolation.
Rigid backbone: A new geometry for percolation.
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刚性骨架：一种新的渗透几何结构。
DOI：
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发表时间：
1986
影响因子：
8.6
通讯作者：
Tremblay
中科院分区：
文献类型：
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作者：
Day;Tremblay
这两种情况都可以从渗滤簇的“节点-链接斑点”图片来理解。事实上，可以公平地说，在迄今为止遇到的绝大多数渗流问题中，即使是连续渗流，'6 渗流簇的基本几何特征（例如单连接键数量的缩放）是相同的，并且差异仅出现在“动力学”水平上。然而，对于这里感兴趣的模型类别，几何连接（键的存在）并不意味着完全弹性连接，因为与键的存在相关的约束数量小于与其连接的站点相关的自由度数。渗流阈值高于相应的标准渗流问题的阈值。 Thorpe6 建议将此类模型命名为“刚性渗滤”，以区别于上面提到的“弹性渗滤”普遍性类别。在本文中，我们研究最简单的刚性渗流模型，即二维中心力模型。 8 前
understood in both cases from the "nodes-linksblobs" picture'~ of percolation clusters. In fact, it is fair to say that in the vast majority of percolation problems encountered to date, even continuum percolation, '6 the basic geometric features of the percolation clusters, such as the scaling of the number of singly connected bonds, are identical and the differences arise only at the level of the "dynamics. " For the class of models of interest here, however, geometric connection (the existence of a bond) does not imply complete elastic connection because the number of constraints associated with the existence of a bond is smaller than the number of degrees of freedom associated with the sites it connects. The percolation threshold is higher8 than that of the corresponding standard percolation problem. Thorpe6 has suggested the name "rigidity percolation" for this class of models, distinguishing it from the "elasticity percolation" universality class mentioned above. In this paper, we study the simplest rigidity-percolation model, namely the two-dimensional central-force model. 8 Ex