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Partial inertia induces additional phase transition in the majority vote model.
Pedro E Harunari1, M M de Oliveira2, C E Fiore1
1Instituto de Física, Universidade de São Paulo, Caixa Postal 66318 05315-970 São Paulo, São Paulo, Brazil.
Physical Review. E
|January 20, 2018
Summary
Introducing inertia selectively in complex networks can induce explosive phase transitions. The system
Area of Science:
- Complex systems
- Statistical physics
- Network science
Background:
- Explosive (discontinuous) transitions are observed in various systems.
- The majority-vote model with inertia exhibits modified phase transitions.
- Previous work showed inertia changes phase transitions from continuous to discontinuous in complex networks.
Purpose of the Study:
- Investigate the impact of selectively embedding inertia in network vertices.
- Analyze phase transitions in the majority-vote model with degree-dependent inertia.
- Explore the emergence of new phases and their dependence on inertia and network topology.
Main Methods:
- Mean-field analysis
- Extensive numerical simulations
- Analysis of majority-vote model with inertia on networks
Main Results:
- Explosive transitions occur in both homogeneous and heterogeneous networks for low to intermediate inertia restrictions.
- High inertia restrictions sustain discontinuous transitions only in heterogeneous networks.
- Partial synchronization and two phase transitions emerge with intermediate restrictions and high inertia, depending on network topology.
Conclusions:
- Selective inertia embedding significantly influences phase transition dynamics in complex networks.
- Network heterogeneity plays a crucial role in sustaining explosive transitions under restricted inertia.
- A novel partially synchronized phase with dual transitions can emerge, influenced by inertia and network structure.
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