2020/09/07 by Benjamin D. Goddard, Goddard, Benjamin D., Beth Gooding +5 · 6 citations
Physics and Astronomy · #82C22 #Complex Network Analysis Techniques #FOS: Physical sciences #Opinion Dynamics and Social Influence #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #msc:82C22
paper · pdf · doi:10.48550/arxiv.2009.03131
openalex publication_date 2020/09/07 · arxiv created 2021/09/23 · arxiv updated 2021/09/24 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
We study SDE and PDE models for opinion dynamics under bounded confidence, for a range of different boundary conditions, with and without the inclusion of a radical population. We perform exhaustive numerical studies with pseudospectral methods to determine the effects of the boundary conditions, suggesting that the no-flux case most faithfully reproduce the underlying mechanisms in the associated deterministic models of Hegselmann and Krause. We also compare the SDE and PDE models, and use tools from analysis to study phase transitions, including a systematic description of an order parameter.