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Q: Fachverband Quantenoptik und Photonik

Q 24: Quantum Effects

Q 24.16: Poster

Dienstag, 15. März 2022, 16:30–18:30, P

Network dynamics in the presence of stochastic fluctuations — •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

We analyse dynamics of a classical network. The dynamics is governed by a mathematical model inspired by the food search of the slime mold Physarum polycephalum - a primitive organism that has demonstrated its ability to solve shortest path problems and to design efficient transport systems. We characterize the networks dynamics by applying measures for their robustness, transport efficiency and costs. We then add noise in the form of Langevin forces and study its effects on the network dynamics. We show that noise can favour the formation of certain network topologies yielding specifically high performance. We identify an optimal noise level to achieve the best balance between robustness, transport efficiency and costs.