Statistics of driven processes - Stefan Thurner
Channel: Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC)
Date: 18/10/2019

- By: Stefan Thurner
- Affiliation: Complexity Science Hub Vienna, Medical University of Vienna
- Date: 2019-10-18T10:00:00+00:00

 Abstract

We present a simple theory for driven out-of-equilibrium systems &amp;mdash; alias complex systems. Driven systems that are composed of a driving- and a relaxation process, generically produce power law distributions for low driving rates. The theory allows us to relate the driving rate with the dynamical origin of a number of distribution functions that occur in complex systems over and over again, including the power law, the Gamma, the Weibull, the Tsallis, the stretched exponential, the log-normal and many more. We present simple examples, such as the statistics of search processes, sentence formation, fragmentation phenomena, self-organized critical systems, and the energy distribution of cosmic rays