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Discontinuous phase transitions in the q-voter model with generalized anticonformity on random graphs
Angelika Abramiuk-Szurlej1, Arkadiusz Lipiecki1, Jakub Pawłowski1
1Department of Theoretical Physics, Faculty of Fundamental Problems of Technology, Wrocław University of Science and Technology, 50-370, Wrocław, Poland.
Scientific Reports
|September 7, 2021
Summary
Discontinuous phase transitions in the binary q-voter model with generalized anticonformity survive on random graphs. The pair approximation accurately predicts these transitions for higher average node degrees, but fails for lower degrees.
Area of Science:
- Statistical physics
- Social dynamics modeling
- Network science
Background:
- The binary q-voter model with generalized anticonformity was previously studied on complete graphs, representing mean-field behavior.
- This model can exhibit discontinuous phase transitions under specific conditions.
Purpose of the Study:
- To investigate if discontinuous phase transitions persist in the generalized binary q-voter model on random Erdős-Rényi graphs.
- To compare the accuracy of pair approximation with Monte Carlo simulations on these networks.
Main Methods:
- Utilizing pair approximation and Monte Carlo simulations.
- Analyzing the behavior of the generalized binary q-voter model on random Erdős-Rényi graphs.
Main Results:
- Discontinuous phase transitions were found to survive on random graphs, even with relatively small average node degrees.
- Pair approximation results align with Monte Carlo simulations for higher average node degrees.
- For lower average node degrees, pair approximation yields inaccurate predictions of phase transitions.
Conclusions:
- Discontinuous phase transitions in this social dynamics model are robust and can occur on realistic network structures.
- The validity of the pair approximation is dependent on the average node degree of the network.
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