Effect of Strong Opinions on the Dynamics of the Majority-Vote Model

Vilela, André L.  M.; Stanley, H. Eugene

doi:10.1038/s41598-018-26919-y

Title: Effect of Strong Opinions on the Dynamics of the Majority-Vote Model

Abstract

We study how the presence of individuals with strong opinions affects a square lattice majority-vote model with noise. In a square lattice network we perform Monte-Carlo simulations and replace regular actors σ with strong actors μ in a random distribution. We find that the value of the critical noise parameter q _c is a decreasing function of the concentration r of strong actors in the social interaction network. We calculate the critical exponents β/ν, γ/ν, and 1/ν and find that the presence of strong actors does not change the Ising universality class of the isotropic majority-vote model.

Authors:

Vilela, André L. M. ^[1]; Stanley, H. Eugene ^[2]

Universidade de Pernambuco, Recife (Brazil); Boston Univ., MA (United States). Center for Polymer Studies. Dept. of Physics
Boston Univ., MA (United States). Center for Polymer Studies. Dept. of Physics

Publication Date:: Thu Jun 07 00:00:00 EDT 2018

Research Org.:: Idaho National Lab. (INL), Idaho Falls, ID (United States); Boston Univ., MA (United States); Universidade de Pernambuco, Recife (Brazil)

Sponsoring Org.:: USDOE; National Science Foundation (NSF); Defense Threat Reduction Agency (DTRA) (United States); Universidade de Pernambuco (Brazil); Fundação de Amparo a Ciência e Tecnologia do Estado de Pernambuco (FACEPE)

OSTI Identifier:: 1624403

Grant/Contract Number:: AC07-05ID14517; PHY-1505000; CMMI-1125290; CHE-1213217; HDTRA1-14-1-0017; PFA2016; PIAEXT2016; APQ-0565-1.05/14

Resource Type:: Accepted Manuscript

Journal Name:: Scientific Reports

Additional Journal Information:: Journal Volume: 8; Journal Issue: 1; Journal ID: ISSN 2045-2322

Publisher:: Nature Publishing Group

Country of Publication:: United States

Language:: English

Subject:: 97 MATHEMATICS AND COMPUTING; statistical physics; phase transitions and critical phenomena

Citation Formats


                    Vilela, André L.  M., and Stanley, H. Eugene. Effect of Strong Opinions on the Dynamics of the Majority-Vote Model.  United States: N. p., 2018. 
Web.  doi:10.1038/s41598-018-26919-y.

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                    Vilela, André L.  M., & Stanley, H. Eugene. Effect of Strong Opinions on the Dynamics of the Majority-Vote Model.  United States.  https://doi.org/10.1038/s41598-018-26919-y

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                    Vilela, André L.  M., and Stanley, H. Eugene. Thu .  
"Effect of Strong Opinions on the Dynamics of the Majority-Vote Model".  United States.  https://doi.org/10.1038/s41598-018-26919-y.  https://www.osti.gov/servlets/purl/1624403.

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@article{osti_1624403,

  title        = {Effect of Strong Opinions on the Dynamics of the Majority-Vote Model},

  author       = {Vilela, André L.  M. and Stanley, H. Eugene},

  abstractNote = {We study how the presence of individuals with strong opinions affects a square lattice majority-vote model with noise. In a square lattice network we perform Monte-Carlo simulations and replace regular actors σ with strong actors μ in a random distribution. We find that the value of the critical noise parameter q c is a decreasing function of the concentration r of strong actors in the social interaction network. We calculate the critical exponents β/ν, γ/ν, and 1/ν and find that the presence of strong actors does not change the Ising universality class of the isotropic majority-vote model.},

  doi          = {10.1038/s41598-018-26919-y},

  journal      = {Scientific Reports},

  number       = 1,

  volume       = 8,

  place        = {United States},

  year         = {Thu Jun 07 00:00:00 EDT 2018},

  month        = {Thu Jun 07 00:00:00 EDT 2018}

}

Copy to clipboard

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https://doi.org/10.1038/s41598-018-26919-y

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Three-state majority-vote model on square lattice
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Physica A: Statistical Mechanics and its Applications, Vol. 391, Issue 4
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Majority-vote model with a bimodal distribution of noises
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Vilela, André L. M.; Moreira, F. G. B.; de Souza, Adauto J. F.
Physica A: Statistical Mechanics and its Applications, Vol. 391, Issue 24
DOI: 10.1016/j.physa.2012.07.068

Phase transitions in the majority-vote model with two types of noises
journal, May 2016

Vieira, Allan R.; Crokidakis, Nuno
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DOI: 10.1016/j.physa.2016.01.013

Majority-vote model with a bimodal distribution of noises in small-world networks
journal, December 2017

Vilela, André L. M.; de Souza, Adauto J. F.
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Ising percolation in a three-state majority vote model
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Works referencing / citing this record:

Evolution of Electoral Preferences for a Regime of Three Political Parties
journal, October 2018

Medina Guevara, María Guadalupe; Vargas Rodríguez, Héctor; Espinoza Padilla, Pedro Basilio
Discrete Dynamics in Nature and Society, Vol. 2018
DOI: 10.1155/2018/2989851

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Similar Records

Title: Effect of Strong Opinions on the Dynamics of the Majority-Vote Model

Abstract

Citation Formats

Critical noise of majority-vote model on complex networks journal, February 2015

Majority-vote model on a random lattice journal, March 2005

Continuous majority-vote model journal, May 2005

Majority-vote model with a bimodal distribution of noises journal, December 2012

Majority-vote model on random graphs journal, January 2005

Majority-Vote on Directed BarabÁSi–Albert Networks journal, September 2006

Majority-vote model with different agents journal, October 2009

Nonequilibrium spin models with Ising universal behaviour journal, May 1993

Majority-vote model with a bimodal distribution of noises in small-world networks journal, December 2017

Non-equilibrium Ising model with competing Glauber dynamics journal, August 1991

Isotropic majority-vote model on a square lattice journal, January 1992

Phase transitions in the majority-vote model with two types of noises journal, May 2016

Three-state majority-vote model on square lattice journal, February 2012

Scaling Theory for Finite-Size Effects in the Critical Region journal, June 1972

Ising percolation in a three-state majority vote model journal, February 2017

Small-world effects in the majority-vote model journal, February 2003

The phase diagram and critical behavior of the three-state majority-vote model journal, November 2010

Majority-vote model with different agents journal, October 2009

Three-state majority-vote model on square lattice journal, February 2012

Majority-vote model with a bimodal distribution of noises journal, December 2012

Phase transitions in the majority-vote model with two types of noises journal, May 2016

Majority-vote model with a bimodal distribution of noises in small-world networks journal, December 2017

Ising percolation in a three-state majority vote model journal, February 2017

Non-equilibrium Ising model with competing Glauber dynamics journal, August 1991

Impact of site dilution and agent diffusion on the critical behavior of the majority-vote model journal, April 2012

Phase transition in the majority-vote model on the Archimedean lattices journal, January 2017

First-order phase transition in a majority-vote model with inertia journal, April 2017

Statistical Mechanics of Probabilistic Cellular Automata journal, December 1985

Majority-Vote Model on a Random Lattice text, January 2004

Evolution of Electoral Preferences for a Regime of Three Political Parties journal, October 2018

Critical noise of majority-vote model on complex networks
journal, February 2015

Majority-vote model on a random lattice
journal, March 2005

Continuous majority-vote model
journal, May 2005

Majority-vote model with a bimodal distribution of noises
journal, December 2012

Majority-vote model on random graphs
journal, January 2005

Majority-Vote on Directed BarabÁSi–Albert Networks
journal, September 2006

Majority-vote model with different agents
journal, October 2009

Nonequilibrium spin models with Ising universal behaviour
journal, May 1993

Majority-vote model with a bimodal distribution of noises in small-world networks
journal, December 2017

Non-equilibrium Ising model with competing Glauber dynamics
journal, August 1991

Isotropic majority-vote model on a square lattice
journal, January 1992

Phase transitions in the majority-vote model with two types of noises
journal, May 2016

Three-state majority-vote model on square lattice
journal, February 2012

Scaling Theory for Finite-Size Effects in the Critical Region
journal, June 1972

Ising percolation in a three-state majority vote model
journal, February 2017

Small-world effects in the majority-vote model
journal, February 2003

The phase diagram and critical behavior of the three-state majority-vote model
journal, November 2010

Majority-vote model with different agents
journal, October 2009

Three-state majority-vote model on square lattice
journal, February 2012

Majority-vote model with a bimodal distribution of noises
journal, December 2012

Phase transitions in the majority-vote model with two types of noises
journal, May 2016

Majority-vote model with a bimodal distribution of noises in small-world networks
journal, December 2017

Ising percolation in a three-state majority vote model
journal, February 2017

Non-equilibrium Ising model with competing Glauber dynamics
journal, August 1991

Impact of site dilution and agent diffusion on the critical behavior of the majority-vote model
journal, April 2012

Phase transition in the majority-vote model on the Archimedean lattices
journal, January 2017

First-order phase transition in a majority-vote model with inertia
journal, April 2017

Statistical Mechanics of Probabilistic Cellular Automata
journal, December 1985

Majority-Vote Model on a Random Lattice
text, January 2004

Evolution of Electoral Preferences for a Regime of Three Political Parties
journal, October 2018