Noise and disorder: Phase transitions and universality in a model of opinion formation

Crokidakis, Nuno

doi:10.1142/s0129183116500601

Cited by 8 publications

(5 citation statements)

References 21 publications

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“…The model considered continuous opinions in the range [–1.0,1.0], but discrete opinions were also considered in [16]. Several extensions for discrete and continuous opinions were also studied, considering, for example, the impact of agents’ convictions [17], social temperature [18], inflexibility [19], non-conformist behaviours [20], dynamic individual influence [21], the presence of contrarian individuals [22], influencing ability of individuals [23,24], the relationship between coarsening and consensus [25], competition between noise and disorder [26], the analysis of noise-induced absorbing phase transitions [27] and the presence of distinct interaction rules [28]. The model was also considered in finite dimensional lattices [29] (including applications to the 2016 presidential election in USA [30]), in triangular, honeycomb, and Kagome lattices [31], in quasi-periodic lattices [32], in modular networks [33] and in other complex networks [34].…”

Section: Introductionmentioning

confidence: 99%

Double transition in kinetic exchange opinion models with activation dynamics

Pires

Crokidakis

2022

Phil. Trans. R. Soc. A.

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In this work, we study a model of opinion dynamics considering activation/deactivation of agents. In other words, individuals are not static and can become inactive and drop out from the discussion. A probability w governs the deactivation dynamics, whereas social interactions are ruled by kinetic exchanges, considering competitive positive/negative interactions. Inactive agents can become active due to interactions with active agents. Our analytical and numerical results show the existence of two distinct non-equilibrium phase transitions, with the occurrence of three phases, namely ordered (ferromagnetic-like), disordered (paramagnetic-like) and absorbing phases. The absorbing phase represents a collective state where all agents are inactive, i.e. they do not participate in the dynamics, inducing a frozen state. We determine the critical value w c above which the system is in the absorbing phase independently of the other parameters. We also verify a distinct critical behaviour for the transitions among different phases. This article is part of the theme issue ‘Kinetic exchange models of societies and economies’.

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Section: Introductionmentioning

confidence: 99%

Double transition in kinetic exchange opinion models with activation dynamics

Pires

Crokidakis

2022

Phil. Trans. R. Soc. A.

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“…Independence appears in models of opinion dynamics under various forms and names, including noise [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 ], inflexibility [ 9 , 10 , 11 ], zealots [ 12 , 13 , 14 , 15 ], non-social state [ 16 , 17 ], social temperature [ 18 , 19 ] or just independence [ 10 , 20 , 21 , 22 , 23 , 24 , 25 ]. Regardless of the specific form, it introduces into the system some kind of annealed or quenched disorder, which usually competes with the ordering, and simultaneously the most common form of social influence, namely conformity.…”

Section: Introductionmentioning

confidence: 99%

Generalized Independence in the q-Voter Model: How Do Parameters Influence the Phase Transition?

Abramiuk

Sznajd-Weron

2020

Entropy

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We study the q-voter model with flexibility, which allows for describing a broad spectrum of independence from zealots, inflexibility, or stubbornness through noisy voters to self-anticonformity. Analyzing the model within the pair approximation allows us to derive the analytical formula for the critical point, below which an ordered (agreement) phase is stable. We determine the role of flexibility, which can be understood as an amount of variability associated with an independent behavior, as well as the role of the average network degree in shaping the character of the phase transition. We check the existence of the scaling relation, which previously was derived for the Sznajd model. We show that the scaling is universal, in a sense that it does not depend neither on the size of the group of influence nor on the average network degree. Analyzing the model in terms of the rescaled parameter, we determine the critical point, the jump of the order parameter, as well as the width of the hysteresis as a function of the average network degree ⟨ k ⟩ and the size of the group of influence q.

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“…The salient features of the phase transition in the mean field/infinite range version for the model is already known, including the universality class. There have been a few studies [19][20][21][22][23][24][25][26] extending this model to further realistic situations, by introduction of additional parameters. Although the mean field behavior of the model has been well investigated, the knowledge of the critical behavior of the model in finite dimensions can only ascertain its universality class, which remains to be investigated.…”

Section: Introductionmentioning

confidence: 99%

Disorder-induced phase transition in an opinion dynamics model: Results in two and three dimensions

Mukherjee

Chatterjee

2016

Phys. Rev. E

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We study a model of continuous opinion dynamics with both positive and negative mutual interaction. The model shows a continuous phase transition between a phase with consensus (order) and a phase having no consensus (disorder). The mean field version of the model was already studied. Using extensive numerical simulations, we study the same model in 2 and 3 dimensions. The critical points of the phase transitions for various cases and the associated critical exponents have been estimated. The universality class of the phase transitions in the model is found to be same as Ising model in the respective dimensions.

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Noise and disorder: Phase transitions and universality in a model of opinion formation

Cited by 8 publications

References 21 publications

Double transition in kinetic exchange opinion models with activation dynamics

Double transition in kinetic exchange opinion models with activation dynamics

Generalized Independence in the q-Voter Model: How Do Parameters Influence the Phase Transition?

Disorder-induced phase transition in an opinion dynamics model: Results in two and three dimensions

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