Dynamical stationarity as a result of sustained random growth

Tamás S. Biró, Zoltán Néda

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4 Citations (Scopus)


In sustained growth with random dynamics stationary distributions can exist without detailed balance. This suggests thermodynamical behavior in fast-growing complex systems. In order to model such phenomena we apply both a discrete and a continuous master equation. The derivation of elementary rates from known stationary distributions is a generalization of the fluctuation-dissipation theorem. Entropic distance evolution is given for such systems. We reconstruct distributions obtained for growing networks, particle production, scientific citations, and income distribution.

Original languageEnglish
Article number032130
JournalPhysical Review E
Issue number3
Publication statusPublished - Mar 17 2017


ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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