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

Takashi Shimada, Fumiko Ogushi

    Research output: Contribution to journalConference article

    1 Citation (Scopus)

    Abstract

    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.

    Original languageEnglish
    Article number012008
    JournalJournal of Physics: Conference Series
    Volume750
    Issue number1
    DOIs
    Publication statusPublished - 2016 Sep 16
    Event29th Workshop on Recent Developments in Computer Simulation Studies in Condensed Matter Physics, CSP 2016 - Athens, United States
    Duration: 2016 Feb 222016 Feb 26

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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