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Quantization Phenomenon in a 2-Dim Sznajd Model
Building: Cero Infinito
Room: 1403
Date: 2024-12-09 05:30 PM – 05:50 PM
Last modified: 2024-11-19
Abstract
Society constitutes a paradigmatic complex system where agents and their interactions (in their more diverse contexts and forms) can lead to different kind of phenomenology.
Random initial conditions are extensively used in sociophysics models. However, hierarchically organized setups are capable of producing interesting results which are not seen in the random case. In the present work, we study a 2-Dim quasi aparametric Sznajd model with structured initial conditions. We introduce a new approach that uses Voronoi diagrams in order to visualize certain aspects that are otherwise hidden in conventional observables. We observe adherence quantization when the system is highly structured and deduce an analytical expression finding an excellent agreement with numerical results. In this quantization regime, a new kind of collective dynamics may emerge, related to groups of individuals instead of individuals themselves.
Random initial conditions are extensively used in sociophysics models. However, hierarchically organized setups are capable of producing interesting results which are not seen in the random case. In the present work, we study a 2-Dim quasi aparametric Sznajd model with structured initial conditions. We introduce a new approach that uses Voronoi diagrams in order to visualize certain aspects that are otherwise hidden in conventional observables. We observe adherence quantization when the system is highly structured and deduce an analytical expression finding an excellent agreement with numerical results. In this quantization regime, a new kind of collective dynamics may emerge, related to groups of individuals instead of individuals themselves.