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DY: Fachverband Dynamik und Statistische Physik
DY 26: Networks, From Topology to Dynamics (joint session SOE/BP/DY)
DY 26.1: Talk
Wednesday, March 19, 2025, 15:00–15:15, H45
Self-organized transport in noisy dynamic networks — •Frederic Folz1, Joshua Rainer Ganz1, 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
We present a numerical study of multicommodity transport in a noisy, nonlinear network. The nonlinearity determines the dynamics of the edge capacities, which can be amplified or suppressed depending on the local current flowing across an edge. We consider network self-organization for three different nonlinear functions: For all three we identify parameter regimes where noise leads to self-organization into more robust topologies, that are not found by the sole noiseless dynamics. Moreover, the interplay between noise and specific functional behavior of the nonlinearity gives rise to different features, such as (i) continuous or discontinuous responses to the demand strength and (ii) either single or multistable solutions. Our study shows the crucial role of the activation function on noise-assisted phenomena.
Keywords: Dynamics of networks; Biological networks; Stochastic dynamical systems; Stochastic networks; Transport networks