Berlin 2008 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 22: Statistical physics of complex networks II

DY 22.1: Talk

Wednesday, February 27, 2008, 16:45–17:00, MA 004

Thermodynamic forces, flows, and Onsager coefficients in complex networks — Agata Fronczak, Piotr Fronczak, and •Janusz Holyst — Faculty of Physics, Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw, Poland

We present Onsager formalism applied to random networks with arbitrary degree distribution. Using the well-known methods of non-equilibrium thermodynamics we identify thermodynamic forces and their conjugated flows induced in networks as a result of single node degree perturbation. The forces and the flows can be understood as a response of the system to events, such as random removal of nodes or intentional attacks on them. Finally, we show that cross effects (such as thermodiffusion, or thermoelectric phenomena), in which one force may not only give rise to its own corresponding flow, but to many other flows, can be observed also in complex networks.