Nonlinear $q$-voter model involving nonconformity on networks
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913639597867008 |
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| author | NQZ, Rinto Anugraha Muslim, Roni Hariyanto, Henokh Lugo Nugroho, Fahrudin Alam, Idham Syah Khalif, Muhammad Ardhi |
| author_facet | NQZ, Rinto Anugraha Muslim, Roni Hariyanto, Henokh Lugo Nugroho, Fahrudin Alam, Idham Syah Khalif, Muhammad Ardhi |
| contents | The order-disorder phase transition is a fascinating phenomenon in opinion dynamics models within sociophysics. This transition emerges due to noise parameters, interpreted as social behaviors such as anticonformity and independence (nonconformity) in a social context. In this study, we examine the impact of nonconformist behaviors on the macroscopic states of the system. Both anticonformity and independence are parameterized by a probability \( p \), with the model implemented on a complete graph and a scale-free network. Furthermore, we introduce a skepticism parameter \( s \), which quantifies a voter's propensity for nonconformity. Our analytical and simulation results reveal that the model exhibits continuous and discontinuous phase transitions for nonzero values of \( s \) at specific values of \( q \). We estimate the critical exponents using finite-size scaling analysis to classify the model's universality. The findings suggest that the model on the complete graph and the scale-free network share the same universality class as the mean-field Ising model. Additionally, we explore the scaling behavior associated with variations in \( s \) and assess the influence of \( p \) and \( s \) on the system's opinion dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_14548 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nonlinear $q$-voter model involving nonconformity on networks NQZ, Rinto Anugraha Muslim, Roni Hariyanto, Henokh Lugo Nugroho, Fahrudin Alam, Idham Syah Khalif, Muhammad Ardhi Physics and Society The order-disorder phase transition is a fascinating phenomenon in opinion dynamics models within sociophysics. This transition emerges due to noise parameters, interpreted as social behaviors such as anticonformity and independence (nonconformity) in a social context. In this study, we examine the impact of nonconformist behaviors on the macroscopic states of the system. Both anticonformity and independence are parameterized by a probability \( p \), with the model implemented on a complete graph and a scale-free network. Furthermore, we introduce a skepticism parameter \( s \), which quantifies a voter's propensity for nonconformity. Our analytical and simulation results reveal that the model exhibits continuous and discontinuous phase transitions for nonzero values of \( s \) at specific values of \( q \). We estimate the critical exponents using finite-size scaling analysis to classify the model's universality. The findings suggest that the model on the complete graph and the scale-free network share the same universality class as the mean-field Ising model. Additionally, we explore the scaling behavior associated with variations in \( s \) and assess the influence of \( p \) and \( s \) on the system's opinion dynamics. |
| title | Nonlinear $q$-voter model involving nonconformity on networks |
| topic | Physics and Society |
| url | https://arxiv.org/abs/2307.14548 |