Explosive Phase Transition in a Majority-Vote Model with Inertia

Abstract

We generalize the original majority-vote model by incorporating an inertia into the microscopic dynamics of the spin flipping, where the spin-flip probability of any individual depends not only on the states of its neighbors, but also on its own state. Surprisingly, the order-disorder phase transition is changed from a usual continuous type to a discontinuous or an explosive one when the inertia is above an appropriate level. A central feature of such an explosive transition is a strong hysteresis behavior as noise intensity goes forward and backward. Within the hysteresis region, a disordered phase and two symmetric ordered phases are coexisting and transition rates between these phases are numerically calculated by a rare-event sampling method. A mean-field theory is developed to analytically reveal the property of this phase transition.

6 pages, 5 figures

References in corpus (20)

• Statistical physics of social dynamics
• Epidemic processes in complex networks
• Critical phenomena in complex networks
• Statistical physics of human cooperation
• Statistical physics of vaccination
• Statistical physics of crime: A review
• Social applications of two-dimensional Ising models
• Majority-vote model on directed Erdos-Renyi random graphs
• Critical noise of majority-vote model on complex networks
• Majority-vote model on (3,4,6,4) and (3^4,6) Archimedean lattices
• Majority-vote on directed Small-World networks
• The phase diagram and critical behavior of the three-state majority-vote model
• Critical phenomena of the Majority voter model in a three dimensional cubic lattice
• Phase transition in the majority-vote model on the Archimedean lattices
• Partial inertia induces additional phase transition in the explosive majority vote model
• Exact solution of the isotropic majority-vote model on complete graphs
• Discontinuous phase transition in an annealed multi-state majority-vote model
• Majority-vote model on spatially embedded networks: crossover from mean-field to Ising universality classes
• Quenched mean-field theory for the majority-vote model on complex networks
• Large deviation induced phase switch in an inertial majority-vote model

Cited by in corpus (4)

• Statistical Physics Of Opinion Formation: is it a SPOOF?
• A generalised mean-field approximation for the Deffuant opinion dynamics model on networks
• Non-Markovian Majority-Vote model
• Finite-size effects on the convergence time in continuous-opinion dynamics