Coarsening in the Persistent Voter Model: analytical results

Abstract

We investigate the coarsening dynamics of a simplified version of the persistent voter model in which an agent can become a zealot -- i.e. resistent to change opinion -- at each step, based on interactions with its nearest neighbors. We show that such a model captures the main features of the original, non-Markovian, persistent voter model. We derive the governing equations for the one-point and two-point correlation functions. As these equations do not form a closed set, we employ approximate closure schemes, whose validity was confirmed through numerical simulations. Analytical solutions to these equations are obtained and well agree with the numerical results.

11 pages, 12 figures

References in corpus (17)

• Statistical physics of social dynamics
• 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
• Ordering dynamics with two non-excluding options: Bilingualism in language competition
• Decelerating microdynamics can accelerate macrodynamics in the voter model
• The Suprafroth (Superconducting Froth)
• Experimental test of curvature-driven dynamics in the phase ordering of a two dimensional liquid crystal
• Algebraic coarsening in voter models with intermediate states
• Ordering Kinetics of the two-dimensional voter model with long-range interactions
• Coarsening and metastability of the long-range voter model in three dimensions
• Kinetics of the one-dimensional voter model with long-range interactions
• Natural selection as coarsening
• Aging properties of the voter model with long-range interactions
• Noisy kinetic-exchange opinion model with aging
• Opinion inertia and coarsening in the Persistent Voter model
• Critical percolation in the ordering kinetics of twisted nematic phases