Nonlinear q-voter model from the quenched perspective

被引:6
|
作者
Jedrzejewski, Arkadiusz [1 ]
Sznajd-Weron, Katarzyna [1 ]
机构
[1] Wroclaw Univ Sci & Technol, Dept Theoret Phys, PL-50370 Wroclaw, Poland
关键词
PHASE-TRANSITIONS; DYNAMICS;
D O I
10.1063/1.5134684
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We compare two versions of the nonlinear q-voter model: the original one, with annealed randomness, and the modified one, with quenched randomness. In the original model, each voter changes its opinion with a certain probability epsilon if the group of influence is not unanimous. In contrast, the modified version introduces two types of voters that act in a deterministic way in the case of disagreement in the influence group: the fraction epsilon of voters always change their current opinion, whereas the rest of them always maintain it. Although both concepts of randomness lead to the same average number of opinion changes in the system on the microscopic level, they cause qualitatively distinct results on the macroscopic level. We focus on the mean-field description of these models. Our approach relies on the stability analysis by the linearization technique developed within dynamical system theory. This approach allows us to derive complete, exact phase diagrams for both models. The results obtained in this paper indicate that quenched randomness promotes continuous phase transitions to a greater extent, whereas annealed randomness favors discontinuous ones. The quenched model also creates combinations of continuous and discontinuous phase transitions unobserved in the annealed model, in which the up-down symmetry may be spontaneously broken inside or outside the hysteresis loop. The analytical results are confirmed by Monte Carlo simulations carried out on a complete graph. Published under license by AIP Publishing.
引用
收藏
页数:9
相关论文
共 50 条
  • [1] Nonlinear q-voter model
    Castellano, Claudio
    Munoz, Miguel A.
    Pastor-Satorras, Romualdo
    [J]. PHYSICAL REVIEW E, 2009, 80 (04):
  • [2] Nonlinear q-voter model with inflexible zealots
    Mobilia, Mauro
    [J]. PHYSICAL REVIEW E, 2015, 92 (01):
  • [3] Nonlinear q-voter model involving nonconformity on networks
    Rinto Anugraha, N.Q.Z.
    Muslim, Roni
    Henokh Lugo, Hariyanto
    Nugroho, Fahrudin
    Alam, Idham Syah
    Khalif, Muhammad Ardhi
    [J]. Physica D: Nonlinear Phenomena, 2025, 472
  • [4] Threshold q-voter model
    Vieira, Allan R.
    Anteneodo, Celia
    [J]. PHYSICAL REVIEW E, 2018, 97 (05)
  • [5] Pair approximation for the q-voter models with quenched disorder on networks
    Jedrzejewski, Arkadiusz
    Sznajd-Weron, Katarzyna
    [J]. PHYSICAL REVIEW E, 2022, 105 (06)
  • [6] A nonlinear q-voter model with deadlocks on the Watts-Strogatz graph
    Sznajd-Weron, Katarzyna
    Suszczynski, Karol Michal
    [J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2014,
  • [7] Exit probability in a one-dimensional nonlinear q-voter model
    Przybyla, Piotr
    Sznajd-Weron, Katarzyna
    Tabiszewski, Maciej
    [J]. PHYSICAL REVIEW E, 2011, 84 (03):
  • [8] Heterogeneous out-of-equilibrium nonlinear q-voter model with zealotry
    Mellor, Andrew
    Mobilia, Mauro
    Zia, R. K. P.
    [J]. PHYSICAL REVIEW E, 2017, 95 (01)
  • [9] Mass media and its impact on opinion dynamics of the nonlinear q-voter model
    Muslim, Roni
    Nqz, Rinto Anugraha
    Khalif, Muhammad Ardhi
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2024, 633
  • [10] Threshold q-voter model with signed relationships
    Lou, Zhen
    Guo, Long
    [J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2021, 2021 (09):