Percolation transition in networks as edges are gradually added, can generate a variety of critical and supercritical behaviors. Here we report a percolation transition model with two parameters α and β , in which by decreasing the value of α from 1 to 0 the phase transition could change from continuous to multiple discontinuous and finally to discontinuous without supercritical region, and that the corresponding tricritical points could be tuned by changing the value of β . In order to find out the tricritical point from continuous to multiple discontinuous, by investigating the cluster merging dynamics we find that it belongs to an interval and becomes larger with increasing value of β , and this result is verified by the distinctly different relative variance behaviors of the order parameter at the two endpoints of the interval. On the other hand, the tricritical point from multiple discontinuous to discontinuous is β /(1 + β ), whi...

中文翻译：

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调整随机网络中渗流转变的三临界点

随着边缘逐渐增加，网络中的渗透过渡会产生各种临界和超临界行为。在这里，我们报告了一个具有两个参数α和β的渗流转变模型，其中通过将α的值从1减小到0，相变可以从连续变为多个不连续，最终变为不具有超临界区域的不连续，并且相应的三临界点可以通过改变β的值来调整。为了找出从连续到多个不连续的三临界点，通过研究聚类合并动力学，我们发现它属于一个区间，并且随着β值的增大而变大，并且这一结果通过的明显不同的相对方差行为得到了验证。间隔的两个端点处的order参数。