Coevolving nonlinear voter model with triadic closure

Abstract

We study a nonlinear coevolving voter model with triadic closure local rewiring. We find three phases with different topological properties and configuration in the steady state: absorbing consensus phase with a single component, absorbing fragmented phase with two components in opposite consensus states, and a dynamically active shattered phase with many isolated nodes. This shattered phase, which does not exist for a coevolving model with global rewiring, has a lifetime that scale exponentially with system size. We characterize the transitions between these phases in terms of the size of the largest cluster, the number of clusters, and the magnetization. Our analysis provides a possible solution to reproduce isolated parts in adaptive networks and high clustering widely observed in social systems.

References in corpus (35)

• Statistical mechanics of complex networks
• Statistical physics of social dynamics
• Evolution of networks
• Coevolutionary games - a mini review
• Why social networks are different from other types of networks
• Growing Scale-Free Networks with Tunable Clustering
• Epidemic dynamics on an adaptive network
• Adaptive Coevolutionary Networks: A Review
• Nonequilibrium phase transition in the coevolution of networks and opinions
• Coevolution of dynamical states and interactions in dynamic networks
• Homophily, Cultural Drift and the Co-Evolution of Cultural Groups
• Emergence of a small world from local interactions: Modeling acquaintance networks
• Voter model dynamics in complex networks: Role of dimensionality, disorder and degree distribution
• Generic Absorbing Transition in Coevolution Dynamics
• Triadic closure as a basic generating mechanism of communities in complex networks
• The non-linear q-voter model
• Adaptive networks: coevolution of disease and topology
• Phase transitions in the q-voter model with two types of stochastic driving
• The noisy voter model on complex networks
• Nonlinear Voter Models: The Transition from Invasion to Coexistence
• Prudent behaviour accelerates disease transmission
• Triadic closure dynamics drives scaling-laws in social multiplex networks
• Absorbing and Shattered Fragmentation Transitions in Multilayer Coevolution
• Dynamics of Non-Conservative Voters
• Time scale competition leading to fragmentation and recombination transitions in the coevolution of network and states
• Pair approximation for the q-voter model with independence on complex networks
• Complete trails of co-authorship network evolution
• Agent Based Models of Language Competition: Macroscopic descriptions and Order-Disorder transitions
• Fragmentation transitions in a coevolving nonlinear voter model
• Noise in Coevolving Networks
• Co-evolutionnary network approach to cultural dynamics controlled by intolerance
• Dynamical origins of the community structure of multi-layer societies
• Coevolving complex networks in the model of social interactions
• Rescue of endemic states in interconnected networks with adaptive coupling
• Coupling of link- and node-ordering in the coevolving voter model

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• Cumulative effects of triadic closure and homophily in social networks
• Statistical Physics Of Opinion Formation: is it a SPOOF?
• Ordering dynamics in the voter model with aging
• Multilayer coevolution dynamics of the nonlinear voter model
• Emergence of complex structures from nonlinear interactions and noise in coevolving networks
• Threshold cascade dynamics on coevolving networks
• Spontaneous symmetry breaking of active phase in coevolving nonlinear voter model
• Vulnerability of democratic electoral systems
• Coevolutionary Dynamics of Group Interactions: Coevolving Nonlinear Voter Models
• Aging in coevolving voter models