Regensburg 2013 – scientific programme

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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 9: Statistics and Dynamics of/on Networks (joint session BP/DY/SOE)

SOE 9.6: Talk

Tuesday, March 12, 2013, 11:00–11:15, H47

Diffusion processes and entropy prodcution in weakly coupled complex networks — Grzegorz Siudem and •Janusz Hołyst — Faculty of Physics, Center of Excellence of Complex Systems Research, Warsaw University of Technology, Poland

We consider diffusion phenomena on a pair of weakly coupled complex networks. Assuming that a density of internetwork connections is much lower than a density of intranetwork links we could make use of a time separation for processes taking place in and between the networks. As result we truncated the system dynamics to a simple Markov Chain and we received an equation corresponding to the Fick's First Law. We got an analytical form for internetwork diffusion coupling and estimated entropy production during the equilibration process.