Berlin 2024 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 28: Networks: From Topology to Dynamics I (joint session SOE/DY)

DY 28.9: Vortrag

Mittwoch, 20. März 2024, 17:15–17:30, TC 006

Transport networks with dynamical metric: when noise is advantageous — •Frederic Folz¹, Kurt Mehlhorn², and Giovanna Morigi¹ — ¹Theoretische Physik, Universität des Saarlandes, 66123 Saarbrücken, Germany — ²Algorithms and Complexity Group, Max-Planck-Institut für Informatik, Saarland Informatics Campus, 66123 Saarbrücken, Germany

The interplay of nonlinear dynamics and noise is at the basis of coherent phenomena, such as stochastic resonance, synchronization, and noise-induced phase transitions. While the effect of noise in these phenomena has been partially analyzed, the impact of the specific form of the nonlinear dynamics on noise-induced phase transitions is unknown. In this work, we analyze transport on a noisy network where the nonlinearity enters through a dynamical metric, which depends nonlinearly on the local current. We determine network selforganization for different functional forms of the metric in a geometry of constraints simulating the network of metro stations of the city of Tokyo. We consider Gaussian noise and show that the resulting dynamics exhibits noise-induced resonances for a wide range of the model parameters, which manifest as selforganization into the most robust network with a resonant response to a finite value of the noise amplitude. We analyze in detail the specific features and perform a comparative assessment. Our study sheds light on the interplay between nonlinear dynamics and stochastic forces, highlighting the relevance of their mutual interplay in determining noise-induced coherence.

Keywords: nonlinear dynamics; network dynamics; noise-induced resonance; transport network; network design