Phase transitions in multiplicative competitive processes

Hideaki Shimazaki; Ernst Niebur

doi:10.1103/PhysRevE.72.011912

Phase transitions in multiplicative competitive processes

Hideaki Shimazaki, Ernst Niebur

School of Medicine

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Article number	011912
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	72
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.72.011912
State	Published - Jul 2005

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.72.011912

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Phase transitions in multiplicative competitive processes

Abstract

ASJC Scopus subject areas

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