Dynamical stationarity as a result of sustained random growth

Tamás S. Biró and Zoltán Néda
Phys. Rev. E 95, 032130 – Published 17 March 2017

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.

  • Figure
  • Figure
  • Figure
  • Received 21 November 2016
  • Revised 13 February 2017

DOI:https://doi.org/10.1103/PhysRevE.95.032130

©2017 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Tamás S. Biró*

  • HIRG, HAS Wigner Research Centre for Physics, Budapest, Hungary

Zoltán Néda

  • Babeş-Bolyai University, Department of Physics, Cluj, Romania

  • *biro.tamas@wigner.mta.hu
  • zneda@phys.ubbcluj.ro

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 95, Iss. 3 — March 2017

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×