Phase transitions in multiplicative competitive processes

Hideaki Shimazaki, Ernst Niebur

Research output: Contribution to journalArticle

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 languageEnglish (US)
Article number011912
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume72
Issue number1
DOIs
StatePublished - Jul 2005

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Phase Transition
Population Dynamics
Criticality
Mechanics
Statistical Mechanics
Join
Analogy
Multiplicative
Game
Resources
games
statistical mechanics
resources
Model

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Medicine(all)

Cite this

Phase transitions in multiplicative competitive processes. / Shimazaki, Hideaki; Niebur, Ernst.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 72, No. 1, 011912, 07.2005.

Research output: Contribution to journalArticle

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