Numerical analysis of the rebellious voter model

DOI10.1007/s10955-010-0021-xzbMath1197.82094arXiv0911.1266OpenAlexW2096987495MaRDI QIDQ1958569

Karel Vrbenský, Jan M. Swart

Publication date: 4 October 2010

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.1266

zbMATH Keywords

Markov chain Monte Carloexactly solvable modelcoexistenceinterface tightnessrebellious voter modelparity conservationcancellative systems

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

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Cites Work

• Coexistence in a two-dimensional Lotka-Volterra model
• The branching annihilating process: An interacting particle system
• Tightness of voter model interfaces
• Ergodic theorems for weakly interacting infinite systems and the voter model
• Additive and cancellative interacting particle systems
• Field theory of branching and annihilating random walks
• An explicitly spatial version of the Lotka-Volterra model with interspecific competition
• Hybrid zones and voter model interfaces
• Coexistence in locally regulated competing populations and survival of branching annihilating random walk
• Voter models with heterozygosity selection
• Survival and coexistence in stochastic spatial Lotka-Volterra models
• A model for spatial conflict

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