A mean-field analysis of the simple model of evolving open systems
A mean-field analysis of the simple model of evolving open systems
复制标题
演化开放系统简单模型的平均场分析
DOI：
10.1088/1742-6596/750/1/012008
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Takashi Shimada and Fumiko Ogushi
中科院分区：
文献类型：
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作者：
島田 尚;村瀬洋介;小串典子;Takashi Shimada and Fumiko Ogushi
最近报道的一种机制，仅当其中的相互作用适度稀疏时才让不断发展的系统成长，这一机制得到了审查和检验。结果表明，平均场分析可以很好地简单地理解从生长阶段到非生长阶段的转变，但其位置存在约 30% 的差异，通过仅从原始模型的模拟中获取平均场类型信息，可以很好地改进平均场分析。这支持了从平均场分析中获得的对转变机制的理解的有效性。这种转变源于两种效应的基本平衡：虽然更多的交互使每个节点变得鲁棒，但它也增加了节点丢失的影响。
A recently reported mechanism of letting evolving systems grow only if the interactions in it is moderately sparse is reviewed and examined. It is shown that the mean field analysis, which is known to give a good simple understanding for this transition from growing to non-growing phase but with about 30% difference in its position, is well improved by taking only mean field type information from the simulation of the original model. This supports the validity of the understanding for the mechanism of the transition, obtained from the mean field analysis. The transition stems from an essential balance of two effects: although having more interactions makes each node robust, it also increases the impact of the loss of a node.