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Q: Fachverband Quantenoptik und Photonik

Q 23: Poster I

Q 23.45: Poster

Tuesday, March 12, 2024, 17:00–19:00, Tent B

Multi-commodity transport and the role of the dynamical metric — •Joshua Ganz, Giovanna Morigi, and Frederic Folz — Theoretische Physik, Universität des Saarlandes, 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 multi-commodity transport on a noisy network where the nonlinearity enters through a dynamical metric that depends nonlinearly on the local current. We determine network self-organization for different functional forms of the metric in a geometry of constraints simulating two transportation demands. We perform an extensive study of the emerging network topologies for the deterministic case and for the case of adding Gaussian noise to the nonlinear dynamics. To characterize the network topologies, we introduce performance measures such as robustness. We show that the resulting dynamics exhibits noise-induced resonances, which manifest as self-organization 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 how their joint effect determines noise-induced coherence.

Keywords: Network Science; Noise-induced Resonance; Nonlinear Dynamics; Self-Organization