用拓扑分析法刻画弹性网络的中间相
Characterizing the intermediate phases of elastic networks through topological analysis
摘要：
我回顾计算研究的不同模型的弹性网络自组织导致存在一个全球均衡（刚性，但无应力）或近均衡的中间阶段。这里考虑的所有模型的一个共同特点是，只考虑弹性网络的拓扑结构;这允许使用一个非常有效的约束计数算法，卵石游戏。在没有平衡的键插入模型中，中间相是刚性的，概率为1，但无应力;在平衡模型中，中间相的网络保持在刚性边缘的自组织临界状态，在膨胀和非膨胀之间波动，但几乎保持均衡。我也认为这些模型的连接类似物，其中一些对应于充分研究的情况下，无环渗流和另一种中间相，现有的，但nonpermeating应力，进行了研究。
英文摘要：
I review computational studies of different models of elastic network self-organization leading to the existence of a globally isostatic (rigid but unstressed) or nearly isostatic intermediate phase. A common feature of all models considered here is that only the topology of the elastic network is taken into account; this allows the use of an extremely efficient constraint counting algorithm, the pebble game. In models with bond insertion without equilibration, the intermediate phase is rigid with probability one but stress-free; in models with equilibration, the network in the intermediate phase is maintained in a self-organized critical state on the verge of rigidity, fluctuating between percolating and nonpercolating but remaining nearly isostatic. I also consider the connectivity analogs of these models, some of which correspond to well-studied cases of loopless percolation and where another kind of intermediate phase, with existing but nonpercolating stress, was studied.
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