Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Majority-vote model on random graphs.

Luiz F C Pereira1, F G Brady Moreira

  • 1Departamento de Física, Universidade Federal de Pernambuco, 50670-901, Recife-PE, Brazil. luizfc@df.ufpe.br

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 9, 2005
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Length-dependent thermal conductivity in suspended single-layer graphene.

Nature communications·2014
Same author

Manipulating connectivity and electrical conductivity in metallic nanowire networks.

Nano letters·2012
Same author

Domain motion in the voter model with noise.

Physical review. E, Statistical, nonlinear, and soft matter physics·2006
Same author

Adaptive walk on complex networks.

Physical review. E, Statistical, nonlinear, and soft matter physics·2005
Same author

Small-world effects in the majority-vote model.

Physical review. E, Statistical, nonlinear, and soft matter physics·2003
Same author

Tensile water transport in a porous gel.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

This study investigated the majority-vote model on random graphs, finding that critical noise levels increase with graph connectivity. Critical exponents were calculated, confirming hyperscaling relations for this system.

Area of Science:

  • Statistical Physics
  • Network Science
  • Complex Systems

Background:

  • The majority-vote model is a fundamental tool for studying opinion dynamics and phase transitions in networks.
  • Erdös-Rényi random graphs provide a foundational model for analyzing network structures and their properties.
  • Understanding phase transitions in noisy systems is crucial for various scientific disciplines.

Purpose of the Study:

  • To investigate the impact of noise on the majority-vote model specifically on Erdös-Rényi random graphs.
  • To characterize the order-disorder phase transition within this system.
  • To determine how graph connectivity influences the critical noise parameter and critical exponents.

Main Methods:

  • Utilized Monte Carlo simulations to model the majority-vote dynamics on random graphs.

Related Experiment Videos

  • Systematically varied the mean connectivity (z) of the Erdös-Rényi graphs.
  • Calculated critical exponents (beta/nu, gamma/nu, 1/nu) at different connectivity values.

    • Main Results:

    • Identified a critical noise parameter (qc) that governs the order-disorder phase transition.
    • Found that qc is a monotonically increasing function of the mean connectivity (z).
    • Observed that the calculated critical exponents satisfy the hyperscaling relation with an effective dimensionality of one.

    Conclusions:

    • The connectivity of random graphs significantly influences the stability of ordered states in the majority-vote model.
    • The system exhibits critical behavior consistent with universality classes described by hyperscaling relations.
    • This research provides quantitative insights into phase transitions in network models with noise.