Discontinuous phase transition in an annealed multi-state majority-vote model
Authored by Guofeng Li, Hanshuang Chen, Feng Huang, Chuansheng Shen
Date Published: 2016
DOI: 10.1088/1742-5468/2016/07/073403
Sponsors:
National Science Foundation China
Key Scientific Research Fund of Anhui Provincial Education Department
Platforms:
No platforms listed
Model Documentation:
Other Narrative
Mathematical description
Model Code URLs:
Model code not found
Abstract
In this paper, we generalize the original majority-vote (MV) model with
noise from two states to arbitrary q states, where q is an integer no
less than two. The main emphasis is paid to the comparison on the nature
of phase transitions between the two-state MV (MV2) model and the
three-state MV (MV3) model. By extensive Monte Carlo simulation and
mean-field analysis, we find that the MV3 model undergoes a
discontinuous order-disorder phase transition, in contrast to a
continuous phase transition in the MV2 model. A central feature of such
a discontinuous transition is a strong hysteresis behavior as noise
intensity goes forward and backward. Within the hysteresis region, the
disordered phase and ordered phase are coexisting.
Tags
networks
statistical physics
Symmetry
Square lattice
Potts-model