Regensburg 2007 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 6: Statistical physics of complex networks II

DY 6.7: Vortrag

Montag, 26. März 2007, 16:00–16:15, H3

Networks interacting with matter — •Bartlomiej Waclaw¹, Zdzislaw Burda², and Wolfhard Janke¹ — ¹Institut für Theoretische Physik, Universität Leipzig, Augustusplatz 10/11, 04109 Leipzig, Germany — ²M. Smoluchowski Institute of Physics, Jagellonian University, Reymonta 4, 30-059 Krakow, Poland

Many processes taking place in nature can be described in terms of complex networks. They can be divided into three classes: the evolution of networks, the dynamics on networks, and the dynamical interaction between the network topology and matter degrees of freedom living on the network. The latter process has two characteristic time scales: the first one related to the dynamics of the matter, and the second one related to the dynamics of network connections. Many results have been found for the case where these two scales differ significantly, but less is known what happens when they are comparable. Here we would like to propose a simple model, being a composition of the Zero Range Process and a dynamically changing network, which allows for studying the regime where the dynamics of network topology significantly affects the dynamics of the processes on the network. We show that the model possesses a phase transition between a condensed and uncondensed state resulting from the interplay of these two dynamical degrees-of-freedom.