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Emergence of complex structures from nonlinear interactions and noise in coevolving networks
Tomasz Raducha1,2, Maxi San Miguel3
1Institute of Experimental Physics, Faculty of Physics, University of Warsaw, Pasteura 5, 02-093, Warsaw, Poland. tomasz.raducha@fuw.edu.pl.
Non-linear interactions and noise create complex social dynamics. Our study identifies distinct phases: consensus, coexistence, and fragmentation, revealing system structure under coevolutionary voter models.
Area of Science:
- Complex Systems Science
- Statistical Physics
- Social Dynamics
Background:
- Coevolutionary dynamics are crucial for understanding social systems.
- The interplay of non-linear interactions and noise significantly shapes system behavior.
- The voter model provides a foundational framework for studying opinion dynamics.
Purpose of the Study:
- To investigate the combined effects of interaction non-linearity and noise on coevolutionary dynamics.
- To identify and characterize distinct phases emerging from these combined effects.
- To analyze the internal structures within these phases.
Main Methods:
- Numerical simulations of the coevolving voter model.
- Analytical approximations, including pair approximation.
- Ad-hoc calculations for phase transition analysis.
Main Results:
- Identified three primary phases: consensus, coexistence, and dynamical fragmentation, differentiated by absolute magnetization and largest component size.
- Further distinguished sub-phases within consensus (weak/alternating vs. strong) and coexistence (fully-mixing vs. structured).
- Observed significant link reduction in structured coexistence due to community formation.
Conclusions:
- Non-linearity, noise, and coevolution jointly drive complex structures in social systems.
- The coevolving voter model effectively captures these complex emergent behaviors.
- Findings offer insights into the formation and stability of social structures.
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