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Updated: May 29, 2025
00:07
A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
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Q-Neighbor Ising model on a polarized network.
Anna Chmiel1, Julian Sienkiewicz1
1Warsaw University of Technology, Faculty of Physics, Koszykowa 75, 00-662 Warszawa, Poland.
Physical Review. E
|February 7, 2025
Summary
In opinion formation models, lobby size (q) and graph overlap (v) interact to break polarized opinions. Specific overlap levels (v*) disrupt clusters, with complex dependencies on q and temperature.
Area of Science:
- Statistical Mechanics
- Computational Social Science
- Network Science
Background:
- The q-neighbor Ising model is a framework for studying opinion dynamics.
- Understanding how network structure influences opinion polarization is crucial.
- Previous research has explored factors affecting opinion formation but the interplay of lobby size and graph overlap requires further investigation.
Purpose of the Study:
- To investigate the relationship between lobby size (q) and graph overlap (v) in the q-neighbor Ising model.
- To identify critical overlap levels (v*) that disrupt opinion polarization for different lobby sizes.
- To analyze the influence of temperature on opinion cluster stability and polarization.
Main Methods:
- Monte Carlo simulations were employed to model opinion dynamics.
- Analytical approaches were used to support simulation findings.
- The study systematically varied lobby size (q) and overlap (v) parameters.
Main Results:
- For lobby sizes q≥3, a critical overlap v* was found to destroy polarized opinion clusters.
- The dependence of v* on q is non-trivial, exhibiting oscillations related to the parity of q, especially at zero temperature.
- Increasing temperature generally reduces polarization and collapses clusters at lower overlap values.
Conclusions:
- Lobby size and graph overlap are key determinants of opinion polarization stability.
- The complex relationship between q and v* highlights nuanced effects in opinion dynamics.
- Temperature acts as a destabilizing factor, though counterintuitive effects were observed for specific parameter ranges.
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