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The majority-vote model with noise on random graphs has been studied. Monte Carlo simulations were performed to characterize the order-disorder phase transition appearing in the system. We found that the value of the critical noise…

Statistical Mechanics · Physics 2009-11-10 Luiz F. C. Pereira , F. G. Brady Moreira

On directed Small-World networks the Majority-vote model with noise is now studied through Monte Carlo simulations. In this model, the order-disorder phase transition of the order parameter is well defined in this system. We calculate the…

Disordered Systems and Neural Networks · Physics 2009-11-13 Edina M. S. Luz , F. W. S. Lima

The three-state majority-vote model with noise on Erdos-Renyi's random graphs has been studied. Using Monte Carlo simulations we obtain the phase diagram, along with the critical exponents. Exact results for limiting cases are presented,…

Statistical Mechanics · Physics 2013-02-21 Diogo F. F. Melo , Luiz F. C. Pereira , F. G. B. Moreira

On Barabasi-Albert networks with z neighbours selected by each added site, the Ising model was seen to show a spontaneous magnetisation. This spontaneous magnetisation was found below a critical temperature which increases logarithmically…

Disordered Systems and Neural Networks · Physics 2007-05-23 F. W. S. Lima

On directed Barabasi-Albert networks with two and seven neighbours selected by each added site, the Ising model was seen not to show a spontaneous magnetisation. Instead, the decay time for flipping of the magnetisation followed an…

Physics and Society · Physics 2009-11-11 F. W. S. Lima

The stationary critical properties of the isotropic majority vote model on random lattices with quenched connectivity disorder are calculated by using Monte Carlo simulations and finite size analysis. The critical exponents $\gamma$ and…

Statistical Mechanics · Physics 2009-11-10 F. W. S. Lima , U. L. Fulco , R. N. Costa Filho

We study a nonequilibrium model with up-down symmetry and a noise parameter $q$ known as majority-vote model of M.J. Oliveira $1992$ on opinion-dependent network or Stauffer-Hohnisch-Pittnauer networks. By Monte Carlo simulations and…

Physics and Society · Physics 2015-06-16 F. W. S. Lima

We study a nonequilibrium model with up-down symmetry and a noise parameter $q$ known as majority-vote model of M.J. Oliveira 1992 with heterogeneous agents on square lattice. By Monte Carlo simulations and finite-size scaling relations the…

Physics and Society · Physics 2015-06-16 F. W. S. Lima

The majority-vote model with noise is one of the simplest nonequilibrium statistical model that has been extensively studied in the context of complex networks. However, the relationship between the critical noise where the order-disorder…

Physics and Society · Physics 2016-09-13 Hanshuang Chen , Chuansheng Shen , Gang He , Haifeng Zhang , Zhonghuai Hou

We investigate the Majority-Vote Model with two states ($-1,+1$) and a noise $q$ on Apollonian networks. The main result found here is the presence of the phase transition as a function of the noise parameter $q$. We also studies de effect…

Physics and Society · Physics 2015-06-05 F. W. S. Lima , André A. Moreira , Ascânio D. Araújo

On Archimedean lattices, the Ising model exhibits spontaneous ordering. Two examples of these lattices of the majority-vote model with noise are considered and studied through extensive Monte Carlo simulations. The order/disorder phase…

Statistical Mechanics · Physics 2007-05-23 F. W. S. Lima , K. Malarz

We analyze the properties of the majority-vote (MV) model with an additional noise in which a local spin can be changed independently of its neighborhood. In the standard MV, one of the simplest nonequilibrium systems exhibiting an…

Statistical Mechanics · Physics 2018-12-05 J. M. Encinas , Hanshuang Chen , Marcelo M. de Oliveira , C. E. Fiore

In this work we study a modified version of the majority-vote model with noise. In particular, we consider a random diluted square lattice for which a site is empty with a probability $r$. In order to analyze the critical behavior of the…

Physics and Society · Physics 2012-07-06 Nuno Crokidakis , Paulo Murilo Castro de Oliveira

We investigate the three-state majority-vote model with noise on scale-free and regular networks. In this model, an individual selects an opinion equal to the opinion of the majority of its neighbors with probability $1 - q$ and opposite to…

Statistical Mechanics · Physics 2019-05-14 André L. M. Vilela , Bernardo J. Zubillaga , Chao Wang , Minggang Wang , Ruijin Du , H. Eugene Stanley

On Archimedean lattices, the Ising model exhibits spontaneous ordering. Three examples of these lattices of the majority-vote model with noise are considered and studied through extensive Monte Carlo simulations. The order/disorder phase…

Statistical Mechanics · Physics 2010-11-24 J. C. Santos , F. W. S. Lima , K. Malarz

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…

Physics and Society · Physics 2024-10-10 Wei Liu , Jincheng Wang , Fangfang Wang , Kai Qi , Zengru Di

The majority-vote (MV) model is one of the simplest nonequilibrium Ising-like model that exhibits a continuous order-disorder phase transition at a critical noise. In this paper, we present a quenched mean-field theory for the dynamics of…

Statistical Mechanics · Physics 2017-12-29 Feng Huang , Hanshuang Chen , Chuansheng Shen

This work presents short-time Monte Carlo simulations for the two dimensional Majority-vote model starting from ordered and disordered states. It has been found that there are two pseudo-critical points, each one within the error-bar range…

Statistical Mechanics · Physics 2010-01-05 Francisco Sastre

In this work we study the majority-vote model with the presence of two distinc noises. The first one is the usual noise $q$, that represents the probability that a given agent follows the minority opinion of his/her social contacts. On the…

Physics and Society · Physics 2016-03-18 Allan R. Vieira , Nuno Crokidakis

We study through Monte Carlo simulations and finite-size scaling analysis the nonequilibrium phase transitions of the majority-vote model taking place on spatially embedded networks. These structures are built from an underlying regular…

Statistical Mechanics · Physics 2016-05-11 C. I. N. Sampaio Filho , T. B. dos Santos , A. A. Moreira , F. G. B. Moreira , J. S. Andrade
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