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Related papers: Majority-Vote Model on a Random Lattice

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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

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

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

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

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 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

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

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 perform short-time Monte Carlo simulations to study the criticality of the isotropic two-state majority-vote model on cubic lattices of volume $N = L^3$, with $L$ up to $2048$. We obtain the precise location of the critical point by…

Statistical Mechanics · Physics 2021-05-05 K. P. do Nascimento , L. C. de Souza , André L. M. Vilela , H. Eugene Stanley , A. J. F. de Souza

On ($3,12^2$), ($4,6,12$) and ($4,8^2$) Archimedean lattices, the critical properties of majority-vote model are considered and studied using the Glauber transition rate proposed by Kwak {\it et all.} [Phys. Rev. E, {\bf 75}, 061110 (2007)]…

Physics and Society · Physics 2013-05-30 F. W. S. Lima

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

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 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 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

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

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

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 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 majority-voter model is studied by Monte Carlo simulations on hypercubic lattices of dimension $d=2$ to 7 with periodic boundary conditions. The critical exponents associated to the Finite-Size Scaling of the magnetic susceptibility are…

Statistical Mechanics · Physics 2023-07-26 Christophe Chatelain
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