Nonlinear q-voter model involving nonconformity on networks
Penulis/Author
Dr. Eng. Rinto Anugraha NQZ, S.Si., M.Si. (1); Dr. Roni Muslim (2); Henokh Lugo Hariyanto (3); Prof. Dr.Eng. Fahrudin Nugroho, S.Si., M.Si. (4); Idham Syah Alam, S.Si., M.Sc., Ph.D. (5); Muhammad Ardhi Khalif M.Sc. (6)
Tanggal/Date
2025
Kata Kunci/Keyword
Abstrak/Abstract
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.
