Opinion dynamics model with domain size dependent dynamics: novel features and new universality class

Abstract

A model for opinion dynamics (Model I) has been recently introduced in which the binary opinions of the individuals are determined according to the size of their neighboring domains (population having the same opinion). The coarsening dynamics of the equivalent Ising model shows power law behavior and has been found to belong to a new universality class with the dynamic exponent $z=1.0\pm 0.01$ and persistence exponent $\theta \simeq 0.235$ in one dimension. The critical behavior has been found to be robust for a large variety of annealed disorder that has been studied. Further, by mapping Model I to a system of random walkers in one dimension with a tendency to walk towards their nearest neighbour with probability $\epsilon$, we find that for any $\epsilon >0.5$, the Model I dynamical behaviour is prevalent at long times.

12 pages, 10 figures. To be published in "Journal of Physics : Conference Series" (2011)

References in corpus (7)

• Statistical physics of social dynamics
• The role of inflexible minorities in the breaking of democratic opinion dynamics
• Non-equilibrium phase transition in negotiation dynamics
• A new model of binary opinion dynamics: coarsening and effect of disorder
• Zero temperature dynamics in two dimensional ANNNI model
• A modified one-dimensional Sznajd model
• Novel ballistic to diffusive crossover in the dynamics of a one dimensional Ising model with variable range of interaction

Cited by in corpus (12)

• A stochastic opinion dynamics model with domain size dependent dynamic evolution
• Opinion dynamics model with weighted influence: Exit probability and dynamics
• $A+A\to \varnothing$ model with a bias towards nearest neighbor
• Virtual walks inspired by a mean field kinetic exchange model of opinion dynamics
• One-dimensional annihilating random walk with long-range interaction
• Effect of bias in a reaction diffusion system in two dimensions
• Stochastic Bifurcations in the Nonlinear Parallel Ising Model
• Ballistic annihilation with superimposed diffusion in one dimension
• Ballistic annihilation in one dimension : A critical review
• $A+A\to \varnothing$ system in one dimension with particle motion determined by nearest neighbour distances: results for parallel updates
• Condensation transition in a conserved generalized interacting zero-range process
• Effect of presence of rigid impurities in a system of annihilating domain walls with dynamic bias