• Open Access

Social contagion models on hypergraphs

Guilherme Ferraz de Arruda, Giovanni Petri, and Yamir Moreno
Phys. Rev. Research 2, 023032 – Published 10 April 2020; Erratum Phys. Rev. Research 5, 029003 (2023)
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Abstract

Our understanding of the dynamics of complex networked systems has increased significantly in the last two decades. However, most of our knowledge is built upon assuming pairwise relations among the system's components. This is often an oversimplification, for instance, in social interactions that occur frequently within groups. To overcome this limitation, here we study the dynamics of social contagion on hypergraphs. We develop an analytical framework and provide numerical results for arbitrary hypergraphs, which we also support with Monte Carlo simulations. Our analyses show that the model has a vast parameter space, with first- and second-order transitions, bistability, and hysteresis. Phenomenologically, we also extend the concept of latent heat to social contexts, which might help understanding oscillatory social behaviors. Our work unfolds the research line of higher-order models and the analytical treatment of hypergraphs, posing new questions and paving the way for modeling dynamical processes on higher-order structures.

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  • Received 4 October 2019
  • Accepted 10 March 2020

DOI:https://doi.org/10.1103/PhysRevResearch.2.023032

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

NetworksStatistical Physics & ThermodynamicsInterdisciplinary Physics

Erratum

Erratum: Social contagion models on hypergraphs [Phys. Rev. Research 2, 023032 (2020)]

Guilherme Ferraz de Arruda, Giovanni Petri, and Yamir Moreno
Phys. Rev. Research 5, 029003 (2023)

Authors & Affiliations

Guilherme Ferraz de Arruda1, Giovanni Petri1, and Yamir Moreno2,3,1

  • 1ISI Foundation, Via Chisola 5, 10126 Torino, Italy
  • 2Institute for Biocomputation and Physics of Complex Systems (BIFI), University of Zaragoza, 50018 Zaragoza, Spain
  • 3Department of Theoretical Physics, University of Zaragoza, 50018 Zaragoza, Spain

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Issue

Vol. 2, Iss. 2 — April - June 2020

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