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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>Q</mml:mi> </mml:math> -Neighbor Ising model on a polarized network

2024/12/09 by Anna Chmiel, Julian Sienkiewicz · 1 voice · 1 citation
Physics and Astronomy · Psychology · #Opinion Dynamics and Social Influence #Complex Network Analysis Techniques #Mental Health Research Topics

paper · doi:10.1103/physreve.110.064312

openalex publication_date 2024/12/09 · openalex created_date 2024/12/10 · openalex updated_date 2026/07/31

Abstract

In this paper, we examine the interplay between the lobby size q in the q-neighbor Ising model of opinion formation [Phys. Rev. E 92, 052105 (2015)1539-375510.1103/PhysRevE.92.052105] and the level of overlap v of two fully connected graphs. Results suggest that for each lobby size q≥3, a specific level of overlap v* exists, which destroys initially polarized clusters of opinions. By performing Monte-Carlo simulations, backed by an analytical approach, we show that the dependence of the v* on the lobby size q is far from trivial in the absence of temperature, showing consecutive maximum and minimum, that additionally depends on the parity of q. The temperature is, in general, a destructive factor; its increase leads to the collapse of polarized clusters for smaller values of v, and additionally brings a substantial decrease in the level of polarization. However, we show that this behavior is counterintuitively inverted for specific lobby sizes and temperature ranges.

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