Curvature-driven growth and interfacial noise in the voter model with self-induced zealots
arXiv:2204.03402 · doi:10.1103/PhysRevE.106.014121
Abstract
We introduce a variant of the voter model in which agents may have different degrees of confidence on their opinions. Those with low confidence are normal voters whose state can change upon a single contact with a different neighboring opinion. However, confidence increases with opinion reinforcement and, above a certain threshold, these agents become zealots that do not change opinion. We show that both strategies, normal voters and zealots, may coexist, leading to a competition between two different kinetic mechanisms: curvature-driven growth and interfacial noise. The kinetically constrained zealots are formed well inside the clusters, away from the different opinions at the surfaces that help keep the confidence not so high. Normal voters concentrate in a region around the interfaces and their number, that is related with the distance between the surface and the zealotry bulk, depends on the rate the confidence changes. Despite this interface being rough and fragmented, typical of the voter model, the presence of zealots in the bulk of these domains, induces a curvature-driven dynamics, similar to the low temperature coarsening behavior of the non-conserved Ising model after a temperature quench.
arXiv comment8 pages
References in corpus (46)
- Statistical physics of social dynamics
- Theory of Phase Ordering Kinetics
- Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
- Persistence and First-Passage Properties in Non-equilibrium Systems
- Critical Coarsening without Surface Tension: the Voter Universality Class
- Does a Single Zealot Affect an Infinite Group of Voters ?
- On the Role of Zealotry in the Voter Model
- The role of inflexible minorities in the breaking of democratic opinion dynamics
- Exact first-passage exponents of 1D domain growth: relation to a reaction diffusion model
- Reality Inspired Voter Models: A Mini-Review
- Exact Results for Kinetics of Catalytic Reactions
- Coarsening and persistence in the voter model
- The Emergence of Consensus: A Primer
- Ordering dynamics with two non-excluding options: Bilingualism in language competition
- Fate of Zero-Temperature Ising Ferromagnets
- Freezing in Ising Ferromagnets
- Heterogeneous Voter Models
- Decelerating microdynamics can accelerate macrodynamics in the voter model
- The building up of individual inflexibility in opinion dynamics
- Freezing into Stripe States in Two-Dimensional Ferromagnets and Crossing Probabilities in Critical Percolation
- Exact results for curvature-driven coarsening in two dimensions
- Domain growth morphology in curvature driven two dimensional coarsening
- Consensus and ordering in language dynamics
- Voting and Catalytic Processes with Inhomogeneities
- Kinetic models of opinion formation in the presence of personal conviction
- Effective surface-tension in the noise-reduced voter model
- Fate of 2D Kinetic Ising Ferromagnets and Critical Percolation Crossing Probabilities
- Dynamics of latent voters
- Geometry of phase separation
- How soon after a zero-temperature quench is the fate of the Ising model sealed?
- Dynamics of Confident Voting
- Persistence in the Voter model: continuum reaction-diffusion approach
- Algebraic coarsening in voter models with intermediate states
- Critical percolation in the dynamics of the 2d ferromagnetic Ising model
- Social consensus and tipping points with opinion inertia
- Long route to consensus: Two stage coarsening in a binary choice voting model
- Opinion Dynamics and Influencing on Random Geometric Graphs
- Persistence in the two dimensional ferromagnetic Ising model
- Consensus versus persistence of disagreement in opinion formation: the role of zealots
- Opinion dynamics in two dimensions: domain coarsening leads to stable bi-polarization and anomalous scaling exponents
- Percolation and coarsening in the bidimensional voter model
- Low temperature dynamics of kinks on Ising interfaces
- Freezing in stripe states for kinetic Ising models: a comparative study of three dynamics
- Slicing the Ising model: critical equilibrium and coarsening dynamics
- Voter models with conserved dynamics
- Interplay of interfacial noise and curvature driven dynamics in two dimensions