Ising model on clustered networks: a model for opinion dynamics. (English) Zbl 1519.91195
This paper studies Ising model on clustered networks focusing on a model for opinion dynamics. It analyzes the Ising model on a specific family of clustered networks by identifying the set of metastable and stable states and by estimating the asymptotic behavior of the transition time between them in the low-temperature limit. The statistical mechanics framework of pathwise approach is adopted. The results regarding the tunneling transition and tunneling time for opinion dynamics are proved in two situations including the one without an external magnetic field and the one with a positive external magnetic field.
Reviewer: Yilun Shang (Newcastle upon Tyne)
MSC:
| 91D30 | Social networks; opinion dynamics |
| 82C20 | Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics |
| 60J20 | Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) |
| 60K35 | Interacting random processes; statistical mechanics type models; percolation theory |
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