Mean-field solution for critical behavior of signed networks in competitive balance theory
| Autor: | R. Masoumi, A. Kargaran, F. Oloomi, Gholamreza Jafari, Ali Hosseiny |
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| Rok vydání: | 2020 |
| Předmět: |
Balance (metaphysics)
Phase transition Mathematical optimization Physics - Physics and Society Statistical Mechanics (cond-mat.stat-mech) Series (mathematics) Computer science Stability (learning theory) FOS: Physical sciences Physics and Society (physics.soc-ph) Extension (predicate logic) 01 natural sciences Symmetry (physics) 010305 fluids & plasmas Mean field theory 0103 physical sciences Balance theory 010306 general physics Condensed Matter - Statistical Mechanics |
| Zdroj: | Physical review. E. 103(5-1) |
| ISSN: | 2470-0053 |
| Popis: | Competitive balance model has been proposed as an extension to the balance model to address the conflict of interests in signed networks arXiv:2001.04664 . In this model two different paradigms compete with each other due to the competitive interests to dominate the system and impose their own values. Using mean-field solution method in this paper, we examine the thermal behavior of the competitive balance model. Our results show that under a certain temperature, the symmetry between two competitive interests will spontaneously break which leads to a discrete phase transition. So, starting with a heterogeneous signed network, if agents aim to ultimately decrease tension stemming from balance theory, evolution ultimately chooses only one of the existing interests and stability arises where one paradigm dominates the network. The critical temperature depends linearly on the number of nodes, which was a linear dependence in the thermal balance theory as well. Finally the results obtained through the mean-field theory are verified by a series of simulations. 6 pages, 4 figures |
| Databáze: | OpenAIRE |
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