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The q-voter model, a variant of the classic voter model, has been analyzed by several authors: while allowing to study opinion dynamics, this model is also believed to be one of the most representative among the many defined in the wide…

物理与社会 · 物理学 2015-10-26 Marco Alberto Javarone , Tiziano Squartini

Short time Monte Carlo methods are used to study the nonequilibrium ferromagnetic phase transition in a majority vote model in two dimensions. The existance of an initial critical slip regime is verified. The measured values of dyamic…

凝聚态物理 · 物理学 2009-10-30 J. F. F. Mendes , M. A. Santos

We consider the dynamics of the voter model and of the monomer-monomer catalytic process in the presence of many ``competing'' inhomogeneities and show, through exact calculations and numerical simulations, that their presence results in a…

统计力学 · 物理学 2007-05-23 Mauro Mobilia , Ivan T. Georgiev

The $q$-voter model with independence is investigated on multiplex networks with fully overlapping layers in the form of various complex networks corresponding to different levels of social influence. Detailed studies are performed for the…

统计力学 · 物理学 2020-09-09 Tomasz Gradowski , Andrzej Krawiecki

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.…

Is it more effective to have a strong influence over a small domain, or a weaker influence over a larger one? Here, we introduce and analyse an off-lattice generalisation of the voter model, in which the range and strength of agents'…

物理与社会 · 物理学 2018-05-04 Kevin Minors , Tim Rogers , Christian A Yates

We study the dynamics of a version of the batch minority game, with random external information and with different types of inhomogeneous decision noise (additive and multiplicative), using generating functional techniques \`{a} la De…

无序系统与神经网络 · 物理学 2009-11-07 A. C. C. Coolen , J. A. F. Heimel , D. Sherrington

In this paper we study nonlinear $q$-voter model with stochastic driving on a complete graph. We investigate two types of stochasticity that, using the language of social sciences, can be interpreted as different kinds of nonconformity.…

统计力学 · 物理学 2013-05-30 Piotr Nyczka , Katarzyna Sznajd-Weron , Jerzy Cislo

In this work we studied the critical behavior of the critical point as function of the number of nearest neighbors on two dimensional regular lattices. We performed numerical simulations on triangular, hexagonal and bilayer square lattices.…

统计力学 · 物理学 2014-05-12 A. L. Acuña-Lara , F. Sastre , J. R. Vargas-Arriola

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…

统计力学 · 物理学 2017-12-29 Feng Huang , Hanshuang Chen , Chuansheng Shen

We study the Fredrickson-Andersen j-spin facilitated model and the noisy majority vote process on connected infinite graphs satisfying suitable expansion properties. For the former, we consider the out-of-equilibrium regime where the…

概率论 · 数学 2025-08-12 Damiano De Gaspari

With the success of general conceptual frameworks of statistical physics, many scholars have tried to apply these concepts to other interdisciplinary fields, such as socio-politics, economics, biology, medicine, and many more. In this work,…

物理与社会 · 物理学 2023-11-23 Roni Muslim , Rinto Anugraha NQZ , Muhammad Ardhi Khalif

We investigate a dynamical model of opinion formation in which an individual's opinion is influenced by interactions with a group of other agents. We introduce a bias towards one of the opinions in a manner not considered earlier to the…

物理与社会 · 物理学 2024-09-17 Pratik Mullick , Parongama Sen

The rebellious voter model, introduced by Sturm and Swart (2008), is a variation of the standard, one-dimensional voter model, in which types that are locally in the minority have an advantage. It is related, both through duality and…

概率论 · 数学 2010-08-17 Jan M. Swart , Karel Vrbensky

Hyperuniformity emerges generically in the coarsening regime of phase-separating fluids. Numerical studies of active and passive systems have shown that the structure factor $S(q)$ behaves as $q^\varsigma$ for $q\to 0$, with hyperuniformity…

软凝聚态物质 · 物理学 2024-09-11 Filippo De Luca , Xiao Ma , Cesare Nardini , Michael E. Cates

We propose a nonlinear voter model to study the emergence of global consensus in opinion dynamics. In our model, agent $i$ agrees with one of binary opinions with the probability that is a power function of the number of agents holding this…

应用统计 · 统计学 2011-12-30 Han-Xin Yang , Wen-Xu Wang , Ying-Cheng Lai , Bing-Hong Wang

We show that certain critical exponents of systems with multiplicative noise can be obtained from exponents of the KPZ equation. Numerical simulations in 1d confirm this prediction, and yield other exponents of the multiplicative noise…

adap-org · 物理学 2016-08-16 Yuhai Tu , G. Grinstein , M. A. Muñoz

We study the homogeneous symmetrical threshold model with independence (noise) by pair approximation and Monte Carlo simulations on Watts-Strogatz graphs. The model is a modified version of the famous Granovetter's threshold model: with…

物理与社会 · 物理学 2020-05-27 Bartłomiej Nowak , Katarzyna Sznajd-Weron

We propose a new analytical method to study stochastic, binary-state models on complex networks. Moving beyond the usual mean-field theories, this alternative approach is based on the introduction of an annealed approximation for…

物理与社会 · 物理学 2016-04-21 Adrián Carro , Raúl Toral , Maxi San Miguel

A geometric approach to critical fluctuations of a nonequilibrium model is reported. The two-dimensional majority vote model was investigated by Monte Carlo simulations on square lattices of various sizes and a detailed scaling analysis of…

凝聚态物理 · 物理学 2015-06-25 Marta Chaves , Maria Augusta Santos