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Self-organized transport in noisy dynamic networks

Frederic Folz1, Kurt Mehlhorn2, and Giovanna Morigi1

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Phys. Rev. E 110, 044310 – Published 21 October, 2024

DOI: https://doi.org/10.1103/PhysRevE.110.044310

Abstract

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.

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Phys. Rev. E 110, 044310– Published 21 October, 2024
  • Received 19 June 2024
  • Accepted 2 October 2024
Article part of CHORUS
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