Majority Rule Dynamics in Finite Dimensions
arXiv:cond-mat/0408219 · doi:10.1103/PhysRevE.71.036101
Abstract
We investigate the long-time behavior of a majority rule opinion dynamics model in finite spatial dimensions. Each site of the system is endowed with a two-state spin variable that evolves by majority rule. In a single update event, a group of spins with a fixed (odd) size is specified and all members of the group adopt the local majority state. Repeated application of this update step leads to a coarsening mosaic of spin domains and ultimate consensus in a finite system. The approach to consensus is governed by two disparate time scales, with the longer time scale arising from realizations in which spins organize into coherent single-opinion bands. The consequences of this geometrical organization on the long-time kinetics are explored.
8 pages, 2-column revtex format, 11 figures. Version 2: minor changes in response to referee comments and typos corrected; final version for PRE
References in corpus (8)
- Theory of Phase Ordering Kinetics
- Opinion evolution in closed community
- Dynamics of Majority Rule
- Analytical results for the Sznajd model of opinion formation
- Application of Statistical Physics to Politics
- Fate of Zero-Temperature Ising Ferromagnets
- Freezing in Ising Ferromagnets
- Dynamics of Multidimensional Secession
Cited by in corpus (30)
- Statistical physics of social dynamics
- Reality Inspired Voter Models: A Mini-Review
- Ordering dynamics with two non-excluding options: Bilingualism in language competition
- Dynamics of opinion formation in a small-world network
- How does degree heterogeneity affect an order-disorder transition?
- Inflexibility and independence: Phase transitions in the majority-rule model
- Consensus Formation in Multi-state Majority and Plurality Models
- Dynamics of Confident Voting
- Dynamics of Majority Rule on Hypergraphs
- The role of voting intention in public opinion polarization
- Opinion formation model for markets with a social temperature and fear
- Dynamics of Majority Rule with Differential Latencies
- Forecasting elections results via the voter model with stubborn nodes
- Long route to consensus: Two stage coarsening in a binary choice voting model
- Divergence and Consensus in Majority Rule
- Voter and Majority Dynamics with Biased and Stubborn Agents
- Opinion percolation in structured population
- A collective opinion formation model under Bayesian updating and confirmation bias
- Opinion dynamics in two dimensions: domain coarsening leads to stable bi-polarization and anomalous scaling exponents
- The external field effect on the opinion formation based on the majority rule and the -voter models on the complete graph
- A model of competition among more than two languages
- Opinion disparity in hypergraphs with community structure
- Local interaction scale controls the existence of a non-trivial optimal critical mass in opinion spreading
- Birdsong dialect patterns explained using magnetic domains
- Effects of substrate network topologies on competition dynamics
- Opinion inertia and coarsening in the Persistent Voter model
- The impact of social noise on the majority rule model across various network topologies
- Infrequent social interaction can accelerate the spread of a persuasive idea
- Spatial evidence that language change is not neutral
- Public efforts to reduce disease transmission implied from a spatial game