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DY: Fachverband Dynamik und Statistische Physik

DY 56: Complex Contagion Phenomena I (Focus Session, joint SOE/DY/BP/SNPD) (joint session SOE/DY/BP)

DY 56.3: Invited Talk

Thursday, March 15, 2018, 10:30–11:00, MA 001

Phase Transitions in Cooperative Coinfections — •Peter Grassberger¹, Li Chen², Fakhteh Ghanbarnejad³, and Weiran Cai⁴ — ¹Juelich Research Center, Juelich, Germany — ²Northwestern Polytechnical University, Xi’an, Shaanxi, China — ³Technische Universität Berlin, Berlin, Germany — ⁴Technische Universität Dresden, Dresden, Germany

We study the spreading of two mutually cooperative diseases on different network topologies, with two stochastic versions of an SIR type model. Cooperativity can lead to hybrid spreading/extinction transitions, which show at the same time typical signatures both of first order (discontinuous) and second order (continuous) phase transitions. Details depend strongly on the underlying network(s), but also on some details of the algorithms.

As a rule, first order and hybrid transitions occur on networks with few short but many long loops, while continuous transitions are found when there are either many short or few long loops. The latter happens on 2-d lattices, while the former is typical for high-dimensional regular lattices or Erdős-Rényi networks. In three dimensions, the behavior is most rich, and a zoo of different first order / second order mixtures are observed.