Regensburg 2019 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 47: Statistical physics of biological systems II (joint session BP/DY)

DY 47.6: Vortrag

Donnerstag, 4. April 2019, 16:15–16:30, H11

Topological dynamics of small degree networks: percolation, rate equation, and stochastic network growth — •Adrian Fessel and Hans-Günther Döbereiner — Universität Bremen, Bremen, Deutschland

In self-organizing networks, topology and dynamic processes interact in a unique way: the network adapts its structure based on local activity, enabling the emergence of global dynamic properties on an optimized topology.
Working with Physarum polycephalum as an experimentally accessible model for an adaptive transportation system, we seek to formalize topological development into a sequence of discrete events intended to serve as basis for studying the interaction of flow and topology. We focus on reorganization of P. polycephalum networks after fragmentation, a process occurring in a prominent percolation transition in a system where system size is not fixed.
The theoretical description follows a master equation with parameters obtained from statistical analysis of experimental data. Computational investigation of the model recreates the dynamics of the topological phase transition and enables characterization of finite size effects and critical exponents. Comparing the influences of system growth and fusion within the system reveals a significant shift of the transition when system growth dominates.