Dynamical stationarity as a result of sustained random growth
Abstract
In sustained growth with random dynamics stationary distributions can exist without detailed balance. This suggests thermodynamical behavior in fastgrowing 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 fluctuationdissipation theorem. Entropic distance evolution is given for such systems. We reconstruct distributions obtained for growing networks, particle production, scientific citations, and income distribution.
 Publication:

Physical Review E
 Pub Date:
 March 2017
 DOI:
 10.1103/PhysRevE.95.032130
 arXiv:
 arXiv:1611.06698
 Bibcode:
 2017PhRvE..95c2130B
 Keywords:

 Condensed Matter  Statistical Mechanics;
 Physics  Data Analysis;
 Statistics and Probability;
 Quantitative Finance  Mathematical Finance
 EPrint:
 7 pages, 2 Figures, PRE style