Nonequilibrium phase transition in a model for social influence

Abstract

We present extensive numerical simulations of the Axelrod's model for social influence, aimed at understanding the formation of cultural domains. This is a nonequilibrium model with short range interactions and a remarkably rich dynamical behavior. We study the phase diagram of the model and uncover a nonequilibrium phase transition separating an ordered (culturally polarized) phase from a disordered (culturally fragmented) one. The nature of the phase transition can be continuous or discontinuous depending on the model parameters. At the transition, the size of cultural regions is power-law distributed.

5 pages, 4 figures

Cited by in corpus (150)

• Statistical physics of social dynamics
• Networks beyond pairwise interactions: structure and dynamics
• Social physics
• Nonequilibrium phase transition in the coevolution of networks and opinions
• Homophily, Cultural Drift and the Co-Evolution of Cultural Groups
• Incomplete ordering of the voter model on small-world networks
• Nonequilibrium transitions in complex networks: a model of social interaction
• Reality Inspired Voter Models: A Mini-Review
• Global culture: A noise induced transition in finite systems
• Bifurcations and Patterns in Compromise Processes
• Opinion dynamics: models, extensions and external effects
• The Emergence of Consensus: A Primer
• Persuasion dynamics
• Freezing and Slow Evolution in a Constrained Opinion Dynamics Model
• Ordering dynamics with two non-excluding options: Bilingualism in language competition
• Nonequilibrium Phase Transitions in Directed Small-World Networks
• Spreading gossip in social networks
• Uncovering collective listening habits and music genres in bipartite networks
• Majority versus minority dynamics: Phase transition in an interacting two-state spin system
• Non-equilibrium phase transition in negotiation dynamics
• Nonequilibrium transition induced by mass media in a model for social influence
• Solution of voter model dynamics on annealed small-world networks
• Localized coherence in two interacting populations of social agents
• Binary and Multivariate Stochastic Models of Consensus Formation
• Cultural transmission and optimization dynamics
• Ultimate Fate of Constrained Voters
• Local versus global interactions in nonequilibrium transitions: A model of social dynamics
• Neighborhood models of minority opinion spreading
• Time scale competition leading to fragmentation and recombination transitions in the coevolution of network and states
• Consensus and ordering in language dynamics
• Voting and Catalytic Processes with Inhomogeneities
• A new model of binary opinion dynamics: coarsening and effect of disorder
• Emergence of metapopulations and echo chambers in mobile agents
• Divergent Time Scale in Axelrod Model Dynamics
• Effects of Mass Media and Cultural Drift in a Model for Social Influence
• Cultural propagation on social networks
• Residential segregation and cultural dissemination: An Axelrod-Schelling model
• Effects of noise and confidence thresholds in nominal and metric Axelrod dynamics of social influence
• Dynamics of organizational culture: Individual beliefs vs. social conformity
• Phase transitions in a two parameter model of opinion dynamics with random kinetic exchanges
• Nonequilibrium phase transition in a model for the propagation of innovations among economic agents
• Van Kampen's expansion approach in an opinion formation model
• Vector opinion dynamics in a model for social influence
• Interacting opinion and disease dynamics in multiplex networks: discontinuous phase transition and non-monotonic consensus times
• Dynamical organization towards consensus in the Axelrod model on complex networks
• Network Strategies in Election Campaigns
• Effects of Mass Media action on the Axelrod Model with Social Influence
• Towards Understanding What Contributes to Forming an Opinion
• Lack of consensus in social systems
• Fixation and Polarization in a Three-Species Opinion Dynamics Model
• Spontaneous ordering against an external field in nonequilibrium systems
• Statistical and Dynamical Study of Disease Propagation in a Small World Network
• Generic finite size scaling for discontinuous nonequilibrium phase transitions into absorbing states
• Opinion Dynamics of Learning Agents: Does Seeking Consensus Lead to Disagreement?
• Statistical Evolutionary Laws in Music Styles
• The media effect in Axelrod's model explained
• Opinion dynamics on directed small-world networks
• Commitment versus persuasion in the three-party constrained voter model
• Phase-ordering kinetics on graphs
• Mass Media Influence Spreading in Social Networks with Community Structure
• Unanimity Rule on networks
• Opinion dynamics and decision of vote in bipolar political systems
• Co-evolutionnary network approach to cultural dynamics controlled by intolerance
• Entropy production at criticality in a nonequilibrium Potts model
• The Dynamics of Efficiency: A Simple Model
• Coevolving complex networks in the model of social interactions
• Aging dynamics and the topology of inhomogenous networks
• Mass media destabilizes the cultural homogeneous regime in Axelrod's model
• Phase of Ising spins on modular networks analogous to social polarization
• A model for cross-cultural reciprocal interactions through mass media
• Divergence and Consensus in Majority Rule
• A generalised mean-field approximation for the Deffuant opinion dynamics model on networks
• Irreversible Opinion Spreading on Scale-Free Networks
• Partial inertia induces additional phase transition in the explosive majority vote model
• Rise of an alternative majority against opinion leaders
• Cluster size entropy in the Axelrod model of social influence: small-world networks and mass media
• Majority vote model with ancillary noise in complex networks
• Culture-area relation in Axelrod's model for culture dissemination
• Polarization and Consensus in a Voter Model under Time-Fluctuating Influences
• Outward-inward information flux in an opinion formation model on different topologies
• Effect of long-range interactions on the phase transition of Axelrod's model
• Finite-size scaling for discontinuous nonequilibrium phase transitions
• Opinion dynamics with confidence threshold: an alternative to the Axelrod model
• Conventions spreading in open-ended systems
• Voter model on a directed network: Role of bidirectional opinion exchanges
• Heider and coevolutionary balance: From discrete to continuous phase transition
• Dynamical phase transitions in Hegselmann-Krause model of opinion dynamics and consensus
• On the Empirical Relevance of the Transient in Opinion Models
• A Spatially Extended Model for Residential Segregation
• The Simmel effect and babies names
• Tuning the average path length of complex networks and its influence to the emergent dynamics of the majority-rule model
• Equation-Free Multiscale Computations in Social Networks: from Agent-based Modelling to Coarse-grained Stability and Bifurcation Analysis
• A renormalization group theory of cultural evolution
• Against mass media trends: minority growth in cultural globalization
• Large deviation induced phase switch in an inertial majority-vote model
• Self-organization in social tagging systems
• Comfort-driven mobility produces spatial fragmentation in Axelrod's model
• Robustness of cultural communities in an open-ended Axelrod's model
• Modeling of the parties' vote share distributions
• Opinion dynamics model with domain size dependent dynamics: novel features and new universality class
• Revisiting the effect of external fields in Axelrod's model of social dynamics
• Aging in some opinion formation models: a comparative study
• Intracultural diversity in a model of social dynamics
• A Bird's-Eye View of Naming Game Dynamics: From Trait Competition to Bayesian Inference
• Discontinuous phase transition in an open-ended Naming Game
• Statistics of opinion domains of the majority-vote model on a square lattice
• Diffusion of innovations in Axelrod's model
• Multistable binary decision making on networks
• Noise driven dynamic phase transition in a a one dimensional Ising-like model
• The consensus in the two-feature two-state one-dimensional Axelrod model revisited
• Thermodynamic model of social influence on two-dimensional square lattice: Case for two features
• Finite size scaling analysis of a nonequilibrium phase transition in the naming game model
• A maximum entropy model for opinions in social groups
• Signs of universality in the structure of culture
• Second to first order phase transition; coevolutionary versus structural balance
• Three is much more than two in coarsening dynamics of cyclic competitions
• How does homophily shape the topology of a dynamic network?
• Phase ordering and universality for continuous symmetry models on graphs
• The nature of the continuous nonequilibrium phase transition of Axelrod's model
• Phase diagram in a one-dimensional civil disorder model
• Effects of homophily and heterophily on preferred-degree networks: mean-field analysis and overwhelming transition
• Emergence of Hierarchy on a Network of Complementary Agents
• A thermodynamic counterpart of the Axelrod model of social influence: The one-dimensional case
• Non-equilibrium critical properties of the Ising model on product graphs
• Discontinuous transitions can survive to quenched disorder in a 2-dimensional nonequilibrium system
• When Dialects Collide: How Socioeconomic Mixing Affects Language Use
• Fermionic Networks: Modeling Adaptive Complex Networks with Fermionic Gases
• Combinatorial aspect of fashion
• Novel ballistic to diffusive crossover in the dynamics of a one dimensional Ising model with variable range of interaction
• A novel analytical formulation of the Axelrod model
• Erdös-Rényi phase transition in the Axelrod model on complete graphs
• Nature of phase transitions in Axelrod-like coupled Potts models in two dimensions
• Persistence of discrimination: revisiting Axtell, Epstein and Young
• Weighted Axelrod model: different but similar
• The role of zealots in the spread of linguistic traits
• Polarization inhibits the phase transition of Axelrod's model
• Predicting the rise of right-wing populism in response to unbalanced immigration
• Mean-field analysis of the majority-vote model broken-ergodicity steady state
• Long division unites - long union divides, a model for social network evolution
• Reinforced communication and social navigation: remember your friends and remember yourself
• Non-equilibrium phase transition and cultural drift in the continuous-trait Axelrod model
• A Self-Organized Tower of Babel: Diversification through Competition
• Coupled Ising models and interdependent discrete choices under social influence in homogeneous populations
• Competitive Social Mobilization in Threshold Models of Collective Action
• How does informational heterogeneity affect the quality of forecasts?
• Simulation of emergence in artificial societies: a practical model-based approach with the EB-DEVS formalism
• Modified Axelrod Model Showing Opinion Convergence And Polarization In Realistic Scale-Free Networks
• Nucleation transitions in polycontextural networks toward consensus
• Leaders and obstacles raise cultural boundaries
• Studying on Opinion Evolution by Hamilton-Jacobi Equation