Phase transitions in the q-voter model with noise on a duplex clique

Abstract

We study a nonlinear q-voter model with stochastic noise, interpreted in the social context as independence, on a duplex network. To study the role of the multi-levelness we propose three methods of transferring the model from a mono- to a multiplex network. They take into account two criteria -- one related to the status of independence (LOCAL vs. GLOBAL) and one related to peer pressure (AND vs. OR). In order to examine the influence of the presence of more than one level in the social network, we perform simulations on a particularly simple multiplex -- a duplex clique, which consists of two fully overlapped complete graphs (cliques). Solving numerically the rate equation and simultaneously conducting Monte Carlo simulations, we provide evidence that even a simple rearrangement into a duplex topology may lead to significant changes in the observed behavior. However, qualitative changes in the phase transitions can be observed for only one of the considered rules -- LOCAL&AND. For this rule the phase transition becomes discontinuous for q=5, whereas for a monoplex such a behavior is observed for q=6. Interestingly, only this rule admits construction of realistic variants of the model, in line with recent social experiments.

11 pages,13 figures

References in corpus (13)

• Statistical physics of social dynamics
• The structure and dynamics of multilayer networks
• Diffusion dynamics on multiplex networks
• Voter Models on Heterogeneous Networks
• Self-organized adaptation of a simple neural circuit enables complex robot behaviour
• Impact of Single Links in Competitive Percolation -- How complex networks grow under competition
• Explosive percolation via control of the largest cluster
• Majority Model on a network with communities
• Absorbing and Shattered Fragmentation Transitions in Multilayer Coevolution
• Nonlinear $q$-voter model with inflexible zealots
• Tactical Voting in Plurality Elections
• Phase transition in kinetic exchange opinion models with independence
• Oscillating hysteresis in the q-neighbor Ising model

Cited by in corpus (28)

• Irreducibility of multilayer network dynamics: the case of the voter model
• Statistical Physics Of Opinion Formation: is it a SPOOF?
• Pair approximation for the q-voter model with independence on complex networks
• Threshold $q$-voter model
• Impact of memory on opinion dynamics
• Think then act or act then think?
• Pair approximation for the noisy threshold $q$-voter model
• Interplay between consensus and coherence in a model of interacting opinions
• Homogeneous symmetrical threshold model with nonconformity: independence vs. anticonformity
• Pair approximation for the $q$-voter model with independence on multiplex networks
• Majority-vote dynamics on multiplex networks
• Transitions between polarization and radicalization in a temporal bilayer echo chambers model
• A veritable zoology of successive phase transitions in the asymmetric $q$-voter model on multiplex networks
• Tricriticality in the $q$-neighbor Ising model on a partially duplex clique
• Phase transition in the majority rule model with the nonconformist agents
• Phase transition and universality of the majority-rule model on complex networks
• Spontaneous symmetry breaking of active phase in coevolving nonlinear voter model
• Independence role in the generalized Sznajd model
• Ferromagnetic and spin-glass like transition in the $q$-neighbor Ising model on random graphs
• Link overlap influences opinion dynamics on multiplex networks: spin model approach
• Detecting Hidden Layers from Spreading Dynamics on Complex Networks
• $Q$-voter model with independence on signed random graphs: homogeneous approximations
• Opinion dynamics involving contrarian and independence behaviors based on the Sznajd model with two-two and three-one agent interactions
• The impact of social noise on the majority rule model across various network topologies
• The $q$-neighbor Ising model on multiplex networks with partial overlap of nodes
• q-neighbor Ising model on a polarized network
• Temperature-Noise Interplay in a Coupled Model of Opinion Dynamics
• When Does Population Diversity Matter? A Unified Framework for Binary-Choice Dynamics