Phase transition phenomena in social propagation with dynamic fashion tendency and individual contact

Yang Tian, Hui Tian, Qimei Cui and Xuzhen Zhu

Chaos, Solitons & Fractals, 2024, vol. 178, issue C

Abstract: In complex systems, individuals exhibit various social contact capacities on account of differences in societal strata, educational backgrounds, and individual psychology. It is a fact that people tend to utilize diverse social networks and demonstrate ever-changing fashion trends. From our study on personal psychology, we have noted that individuals display a behaviour known as dynamic fashion tendency (DFT) when receiving information. Next, to represent DFT behaviour through a threshold model, we devised a dynamic SAR propagation model on a multi-layer contact network. For the transmission mechanism of individual behaviour, we utilized partition theory to investigate and uncover. Both theoretical analysis and simulation experiments demonstrate that the propagation mode exhibits a boundary phenomenon. The final adoption size may demonstrate either continuous second-order or discontinuous first-order phase transitions, depending on individual DFT behaviour. When unit propagation probability is constant, the largest final adoption size is attained with the ideal DFT parameters. Additionally, personal contact plays a role in spreading behaviour and shifting the propagation pattern from continuous second-order to discontinuous first-order. Ultimately, numerical analysis can correspond with real models.

Keywords: Individual fashion psychology; Dynamic fashion tendency; Individual contact; Behavioural propagation; Threshold model; Transition phase transition (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:178:y:2024:i:c:s0960077923012687

DOI: 10.1016/j.chaos.2023.114366

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