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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 7: Poster

SOE 7.3: Poster

Monday, March 18, 2024, 18:00–20:30, Poster D

Rank dynamics in compartmental voter model — •Justas Kvedaravicius¹ and Aleksejus Kononovicius² — ¹Vilnius university, Faculty of Physics, Vilnius, Lithuania — ²Vilnius university, Institute of Theoretical Physics and Astronomy, Vilnius, Lithuania

Traditional approaches to modelling opinion dynamics focus on temporal evolution of the system. While this approach is easy to model, it proves difficult to validate using empirical data, as it is more detailed in spatial resolutions rather than temporal ones. Statistics of data at various resolutions (scales) can reveal regularity and randomness in the spatial distributions. Attempts to define spatial and temporal dynamics have been suggested in [1, 2].

For models imbued with spatial distributions rank-size description is preferable to the timeseries point of view. We employ a generalization of rank-size description [3] to analyze dynamics of the compartmental voter model and approximate the dynamics using Fokker-Planck equation.

[1] Kononovicius, J. Stat. Mech. 2019: 073402 (2019). [2] Fernandez-Gracia et al., Phys. Rev. Lett. 112: 158701 (2014). [3] Iniguez et al., Nat. Commun. 13: 1646 (2022).

Keywords: Compartmental voter model; Spatial dynamics; Rank-size; Fokker-Planck equation; Scaling