Phase transitions in multiplicative competitive processes.
Phase transitions in multiplicative competitive processes.
复制标题
乘法竞争过程中的相变。
DOI:
10.1103/physreve.72.011912
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发表时间:
2005
期刊:
影响因子:
--
通讯作者:
Niebur,Ernst
中科院分区:
文献类型:
--
作者:
Shimazaki,Hideaki;Niebur,Ernst
We introduce a discrete multiplicative process as a generic model of competition. Players with different abilities successively join the game and compete for finite resources. Emergence of dominant players and evolutionary development occur as a phase transition. The competitive dynamics underlying this transition is understood from a formal analogy to statistical mechanics. The theory is applicable to bacterial competition, predicting novel population dynamics near criticality.