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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…

统计力学 · 物理学 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 with heterogeneous agents on square lattice. By Monte Carlo simulations and finite-size scaling relations the…

物理与社会 · 物理学 2015-06-16 F. W. S. Lima

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 $q_c$,…

统计力学 · 物理学 2009-11-13 F. W. S. Lima , A. O. Sousa , M. A. Sumuor

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…

统计力学 · 物理学 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…

无序系统与神经网络 · 物理学 2009-11-13 Edina M. S. Luz , F. W. S. Lima

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…

统计力学 · 物理学 2007-05-23 F. W. S. Lima , K. Malarz

The influence of random site dilution on the critical properties of the two-dimensional Ising model on a square lattice was explored by Monte Carlo simulations with the Wang-Landau sampling. The lattice linear size was $L = 20-120$ and the…

统计力学 · 物理学 2008-07-02 I. A. Hadjiagapiou , A. Malakis , S. S. Martinos

In this work we study the opinion formation in a voter-like model defined on a square lattice of linear size $L$. The agents may be in three different states, representing any public debate with three choices (yes, no, undecided). We…

物理与社会 · 物理学 2013-07-18 Nuno Crokidakis

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…

物理与社会 · 物理学 2024-10-10 Wei Liu , Jincheng Wang , Fangfang Wang , Kai Qi , Zengru Di

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…

统计力学 · 物理学 2012-10-16 Ana L. Acuña-Lara , Francisco Sastre

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…

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…

物理与社会 · 物理学 2016-03-18 Allan R. Vieira , Nuno Crokidakis

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…

统计力学 · 物理学 2017-01-26 Unjong Yu

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,…

物理与社会 · 物理学 2013-09-30 C. I. N. Sampaio , 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…

无序系统与神经网络 · 物理学 2007-05-23 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…

物理与社会 · 物理学 2016-09-13 Hanshuang Chen , Chuansheng Shen , Gang He , Haifeng Zhang , Zhonghuai Hou

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…

统计力学 · 物理学 2010-11-24 J. C. Santos , F. W. S. Lima , K. Malarz

The standard three-state voter model is enlarged by including the outside pressure favouring one of the three choices and by adding some biased internal random noise. The Monte Carlo simulations are motivated by states with the population…

物理与社会 · 物理学 2009-11-13 T. Hadzibeganovic , D. Stauffer , C. Schulze

The dynamics of opinion formation in a society is a complex phenomenon where many variables play an important role. Recently, the influence of algorithms to filter which content is fed to social networks users has come under scrutiny.…

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…

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