Dynamical Stationarity as a Result of Sustained Random Growth

Tam\'as Bir\'o and Zolt\'an N\'eda

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Abstract: 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.

Date: 2016-11
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Published in Phys. Rev. E 95, 032130 (2017)

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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:1611.06698

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