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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

Here, the model of non-equilibrium model with two states ($-1,+1$) and a noise $q$ on simple square lattices proposed for M.J. Oliveira (1992) following the conjecture of up-down symmetry of Grinstein and colleagues (1985) is studied and…

Physics and Society · Physics 2015-05-30 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

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

Through Monte Carlo Simulation, the well-known majority-vote model has been studied with noise on directed random graphs. In order to characterize completely the observed order-disorder phase transition, the critical noise parameter $q_c$,…

Statistical Mechanics · Physics 2009-11-13 F. W. S. Lima , A. O. Sousa , M. A. Sumuor

We study the critical properties of a non-equilibrium statistical model, the majority-vote model, on heptagonal and dual heptagonal lattices. Such lattices have the special feature that they only can be embedded in negatively curved…

Statistical Mechanics · Physics 2015-05-14 Zhi-Xi Wu , Petter Holme

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

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

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 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

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 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

In this work we investigate the critical behavior of the three dimensional simple-cubic Majority voter model. Using numerical simulations and a combination of two different cumulants we evaluated the critical point with a higher accuracy…

Statistical Mechanics · Physics 2012-10-16 Ana L. Acuña-Lara , Francisco Sastre

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

An antiferromagnetic version of the well-known majority voter model on square and honeycomb lattices is proposed. Monte Carlo simulations give evidence for a continuous order-disorder phase transition in the stationary state in both cases.…

Statistical Mechanics · Physics 2015-11-12 Francisco Sastre , Malte Henkel

We use Monte Carlo simulations and finite-size scaling theory to investigate the phase transition and critical behavior of the $S$-state block voter model on square lattices. It is shown that the system exhibits an order-disorder phase…

Statistical Mechanics · Physics 2018-05-30 J. M. de Araújo , C. I. N. Sampaio Filho , F. G. B. Moreira

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

We introduce and study the block voter model with noise on two-dimensional square lattices using Monte Carlo simulations and finite-size scaling techniques. The model is defined by an outflow dynamics where a central set of $N_{PCS}$ spins,…

Physics and Society · Physics 2013-09-30 C. I. N. Sampaio , F. G. B. Moreira

The majority-vote model with noise was studied on the eleven Archimedean lattices by the Monte-Carlo method and the finite-size scaling. The critical noises and the critical exponents were obtained with unprecedented precision. Contrary to…

Statistical Mechanics · Physics 2017-01-26 Unjong Yu
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