A new model of binary opinion dynamics: coarsening and effect of disorder

Abstract

We propose a model of binary opinion in which the opinion of the individuals change according to the state of their neighbouring domains. If the neighbouring domains have opposite opinions, then the opinion of the domain with the larger size is followed. Starting from a random configuration, the system evolves to a homogeneous state. The dynamical evolution show novel scaling behaviour with the persistence exponent $\theta \simeq 0.235$ and dynamic exponent $z\simeq 1.02\pm 0.02$. Introducing disorder through a parameter called rigidity coefficient $\rho$ (probability that people are completely rigid and never change their opinion), the transition to a heterogeneous society at $\rho =0^{+}$ is obtained. Close to $\rho =0$, the equilibrium values of the dynamic variables show power law scaling behaviour with $\rho$. We also discuss the effect of having both quenched and annealed disorder in the system.

arXiv comment4 pages, 6 figures, Final version of PRE

References in corpus (8)

• Nonequilibrium phase transition in a model for social influence
• Incomplete ordering of the voter model on small-world networks
• Exact first-passage exponents of 1D domain growth: relation to a reaction diffusion model
• Non-equilibrium phase transition in negotiation dynamics
• Persistence in higher dimensions : a finite size scaling study
• Spatial distribution of persistent sites
• Zero temperature dynamics in two dimensional ANNNI model
• Voter Dynamics on an Ising Ladder: Coarsening and Persistence

Cited by in corpus (37)

• Social consensus through the influence of committed minorities
• Recent advances in opinion propagation dynamics: A 2020 Survey
• Disorder induced phase transition in kinetic models of opinion dynamics
• Evolution of opinions on social networks in the presence of competing committed groups
• Mean field solutions of kinetic exchange opinion models
• Phase transitions in a two parameter model of opinion dynamics with random kinetic exchanges
• Accelerating consensus on co-evolving networks: the effect of committed individuals
• Long route to consensus: Two stage coarsening in a binary choice voting model
• A stochastic opinion dynamics model with domain size dependent dynamic evolution
• Opinion dynamics model with weighted influence: Exit probability and dynamics
• Phase transition in the majority rule model with the nonconformist agents
• Models, Methods and Network Topology: Experimental Design for the Study of Interference
• Opinion dynamics model with domain size dependent dynamics: novel features and new universality class
• $A+A\to \varnothing$ model with a bias towards nearest neighbor
• Phase transition and universality of the majority-rule model on complex networks
• Independence role in the generalized Sznajd model
• Noise driven dynamic phase transition in a a one dimensional Ising-like model
• Kinetic exchange opinion model: solution in the single parameter map limit
• Universal features of exit probability in opinion dynamics models with domain size dependent dynamics
• Minority spin dynamics in non-homogeneous Ising model: diverging timescales and exponents
• One-dimensional annihilating random walk with long-range interaction
• Importance of initial conditions in the polarization of complex networks
• Opinion dynamics involving contrarian and independence behaviors based on the Sznajd model with two-two and three-one agent interactions
• Effect of bias in a reaction diffusion system in two dimensions
• The impact of social noise on the majority rule model across various network topologies
• Stochastic Bifurcations in the Nonlinear Parallel Ising Model
• Novel ballistic to diffusive crossover in the dynamics of a one dimensional Ising model with variable range of interaction
• Ballistic annihilation with superimposed diffusion in one dimension
• Ballistic annihilation in one dimension : A critical review
• Tagged particle dynamics in one dimensional $A+A\to kA$ models with the particles biased to diffuse towards their nearest neighbour
• Zero temperature ordering dynamics in two dimensional BNNNI model
• Ordering kinetics in q-state random-bond clock model: Role of Vortices and Interfaces
• $A+A\to \varnothing$ reaction for particles with a dynamic bias to move away from their nearest neighbour in one dimension
• $A+A\to \varnothing$ system in one dimension with particle motion determined by nearest neighbour distances: results for parallel updates
• Opinion response functions are key to understanding tipping of social conventions
• Coevolution of Actions and Opinions in Networks of Coordinating and Anti-Coordinating Agents
• Impact of Preference and Equivocators on Opinion Dynamics with Evolutionary Game Framework