The precursor of the critical transitions in majority vote model with the noise feedback from the vote layer

Abstract

In this paper, we investigate phase transitions in the Majority-Vote model coupled with noise layers of different structures. We examine the Square lattice and Random-regular networks, as well as their combinations, for both vote layers and noise layers. Our findings reveal the presence of independent third-order transitions in all cases and dependent third-order transitions when critical transitions occur. This suggests that dependent third-order transitions may serve as precursors to critical transitions in non-equilibrium systems. Furthermore, we observe that when the structure of vote layers is local, the coupling between the vote layer and the noise layer leads to the absence of critical phenomena.

arXiv comment16 pages, 10 figures

References in corpus (27)

• Statistical physics of social dynamics
• Collective motion
• Critical phenomena in complex networks
• Colloquium: Criticality and dynamical scaling in living systems
• Dynamics of Majority Rule
• Critical Coarsening without Surface Tension: the Voter Universality Class
• Rational Group Decision Making. A random field Ising model at T=0
• Majority-vote model on random graphs
• Majority-vote model on directed Erdos-Renyi random graphs
• Majority-vote model on hyperbolic lattices
• Critical noise of majority-vote model on complex networks
• Classification of Phase Transitions by Microcanonical Inflection-Point Analysis
• Majority-vote on directed Barabasi-Albert networks
• Majority-vote on directed Small-World networks
• Majority-vote model on triangular, honeycomb and Kagome lattices
• Majority-vote dynamics on multiplex networks
• Evidence for additional third-order transitions in the two-dimensional Ising model
• Nonequilibrium Zaklan model on Apollonian Networks
• Exact solution of the isotropic majority-vote model on complete graphs
• Exact microcanonical statistical analysis of transition behavior in Ising chains and strips
• Majority-vote model on spatially embedded networks: crossover from mean-field to Ising universality classes
• Influence of Bonded Interactions on Structural Phases of Flexible Polymers
• Geometrical aspects in the analysis of microcanonical phase-transitions
• Two-dimensional Ising model on random lattices with constant coordination number
• Antiferromagnetic majority voter model on square and honeycomb lattices
• Pseudo-Phase Transitions of Ising and Baxter-Wu Models in Two-Dimensional Finite-Size Lattices
• Majority-vote model on Opinion-Dependent Networks