Dresden 2020 – scientific programme
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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 15: Traffic, Urban and Regional Systems I
SOE 15.2: Talk
Thursday, March 19, 2020, 12:45–13:00, GÖR 226
Fluctuation-induced nonlinear dynamics in networks coupled street traffic — •Verena Krall1,5, Max Günthner2,3,4,5, Malte Schröder1, and Marc Timme1 — 1Chair for Network Dynamics, Center for Advancing Electronics Dresden (cfaed), Institute of Theoretical Physics, Technical University Dresden — 2Institute of Theoretical Physics, University of Tübingen — 3Werner Reichardt Center for Integrative Neuroscience — 4Bernstein Center for Computational Neuroscience — 5Both authors contributed equally
It is long known that traffic congestions may emerge spontaneously -- out of nowhere. However, statistical physics studies, while providing both qualitative and quantitative insights, were so far mostly restricted to the consequences of interactions between cars on individual streets and neglected traffic flow patterns in coupled street networks.
Here we present a simple model system of interacting streets in which congestion spontaneously suddenly appears due to fluctuations in the rate of incoming cars. Agent-based simulations indicate an instability even in regimes where mean field theory predicts stable traffic flow patterns.
Our results thus underline the limitations of mean field predictions in noisy, nonlinear systems, in particular for predicting the collective nonlinear dynamics of mobility systems.