Phase transition in the majority-vote model on the Archimedean lattices

Abstract

The majority-vote model with noise was studied on the eleven Archimedean lattices by the Monte-Carlo method and the finite-size scaling. The critical noises and the critical exponents were obtained with unprecedented precision. Contrary to some previous reports, we confirmed that the majority-vote model on the Archimedean lattices belongs to the two-dimensional Ising universality class. It was shown that very precise determination of the critical noise is required to obtain proper values of the critical exponents.

arXiv comment6 pages, 6 figures, 1 table

References in corpus (12)

• Extended Ensemble Monte Carlo
• Ferromagnetic Phase Transition in Barabasi-Albert Networks
• Social applications of two-dimensional Ising models
• Majority-vote model on (3,4,6,4) and (3^4,6) Archimedean lattices
• Ising antiferromagnet on the Archimedean lattices
• The importance of the Ising model
• Majority-vote model on triangular, honeycomb and Kagome lattices
• Critical phenomena of the Majority voter model in a three dimensional cubic lattice
• Exact Curie temperature for the Ising model on Archimedean and Laves lattices
• Critical phenomena in the majority voter model on two dimensional regular lattices
• Universality of the Ising and the S=1 model on Archimedean lattices: A Monte Carlo determination
• Antiferromagnetic majority voter model on square and honeycomb lattices

Cited by in corpus (9)

• Exact solution of the isotropic majority-vote model on complete graphs
• Non-Markovian Majority-Vote model
• Reference to Global State and Social Contagion Dynamics
• Phase transitions in a multistate majority-vote model on complex networks
• Explosive Phase Transition in a Majority-Vote Model with Inertia
• Critical Phenomena and Strategy Ordering with Hub Centrality Approach in the Aspiration-based Coordination Game
• Universality class of the percolation in two-dimensional lattices with distortion
• Ferromagnetic and spin-glass like transition in the $q$-neighbor Ising model on random graphs
• Diffusive Majority Vote Model