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Expulsion from structurally balanced paradise.
Krzysztof Malarz1, Maciej Wołoszyn1
1Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Kraków, Poland.
Chaos (Woodbury, N.Y.)
|December 31, 2020
Summary
Simulations on a triangular lattice show that structural balance quickly leads to disorder. Unlike previous studies, this lattice topology prevents any form of Heider balance, regardless of system size.
Area of Science:
- Social psychology
- Computational sociology
- Network science
Background:
- Heider's balance theory describes social triads' tendency towards balance.
- Previous simulations on complete graphs showed varying degrees of balance.
- The impact of lattice topology on structural balance evolution was unexplored.
Purpose of the Study:
- To investigate structural balance evolution on a triangular lattice.
- To determine if triangular lattice topology influences the emergence of Heider balance.
- To analyze the relaxation time and system size dependency.
Main Methods:
- Simulations of structural balance evolution.
- Utilized the heat-bath algorithm.
- Employed a triangular lattice structure.
Main Results:
- The triangular lattice topology prevents the occurrence of any Heider balance.
- Systems evolved from a balanced state to an unbalanced and disordered state.
- The system relaxation time was independent of system size.
Conclusions:
- Triangular lattice topology inherently prevents structural balance.
- Social systems on this lattice rapidly transition to disorder.
- Findings contrast with previous studies on complete graphs, highlighting topological effects.
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