A mean-field analysis of the simple model of evolving open systems

29th Workshop on Recent Developments in Computer Simulation Studies in Condensed Matter Physics

物理学;计算机科学

Shimada, Takashi^1 ; Ogushi, Fumiko^2

Department of Applied Physics, Graduate School of Engineering, University of Tokyo, Japan^1

Advanced Institute for Materials Research, Tohoku University, Japan^2

关键词: Evolving systems;    Growing phase;    Mean field;    Mean field analysis;    Original model;    Simple modeling;    Type information;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/750/1/012008/pdf
DOI  :  10.1088/1742-6596/750/1/012008

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

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.