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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 4: Poster

SOE 4.5: Poster

Montag, 27. März 2023, 17:00–19:00, P2/OG2

Mean field approach for link coupling in Heider dynamics in bilayer network — •Krishnadas Mohandas and Janusz Hołyst — Warsaw University of Technology, Poland

Structural balance was observed in many social groups with simultaneous friendly and hostile relations. Frequently these interactions need to be described by muticomponent attributes and different components can be coupled together. In this study we consider a bilayer topology of Heider balance in a link multiplex, a unique multiplex in which coupling not only exists between different agents but also between corresponding links of the same agent. In social networks, for instance, agents can belong to the family, professional and friends group, where links in each layer could address either sports or politics. The dynamics of agents differs inside and between the layers and the coupling coefficients between the layers govern the strength of influence of one link-layer on another. Numerical simulations and analytical calculations using heat-bath approach and mean-field approximation demonstrate that the link polarization for both layers of a complete signed network of N agents tends towards Heider balance below critical temperature. The effect of such inter-layer coupling results in the increase of critical temperature with the strength of positive coupling. Periodical and chaotic trajectories of mean polarisations of both components are observed for a range of temperatures in the case of negative interlayer coupling.