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In this work we investigate symmetry breaking in the presence of a turbulent environment. The transition from a symmetric state to a symmetry-breaking state is demonstrated using two examples: (i) the transition of a two-dimensional flow to…

In this manuscript, we introduce and study a variant of the agent-based opinion dynamics proposed in a recent work [8], within the framework of an interacting multi-agent system, where agents are assumed to interact with each other and…

Probability · Mathematics 2026-01-30 Fei Cao , Roberto Cortez

We study here the dynamics of opinion formation in a society where we take into account of the internally held beliefs and externally expressed opinions of the individuals, which are not necessarily the same at all times. While these two…

Physics and Society · Physics 2022-04-27 Subhadeep Roy , Soumyajyoti Biswas

We introduce and discuss certain kinetic models of (continuous) opinion formation involving both exchange of opinion between individual agents and diffusion of information. We show conditions which ensure that the kinetic model reaches non…

Mathematical Physics · Physics 2007-05-23 G. Toscani

We generalize the original majority-vote model by incorporating an inertia into the microscopic dynamics of the spin flipping, where the spin-flip probability of any individual depends not only on the states of its neighbors, but also on…

Physics and Society · Physics 2018-06-13 Hanshuang Chen , Chuansheng Shen , Haifeng Zhang , Guofeng Li , Zhonghuai Hou , Jürgen Kurths

We study an adaptive network model driven by a nonlinear voter dynamics. Each node in the network represents a voter and can be in one of two states that correspond to different opinions shared by the voters. A voter disagreeing with its…

We study the damage spreading phenomena in two different ways in a opinion dynamics model introduced recently. This kinetic exchange type model is characterized by a fraction $q$ of negative interactions and shows the presence of an…

Statistical Mechanics · Physics 2015-03-03 Abdul Khaleque , Parongama Sen

The cognitive process of opinion formation is often characterized by stubbornness or resistance of agents to changes of opinion. To capture such a feature we introduce a constant latency time in the standard voter model of opinion dynamics:…

Physics and Society · Physics 2024-08-27 Giovanni Palermo , Anna Mancini , Antonio Desiderio , Riccardo Di Clemente , Giulio Cimini

In this work we study a 3-state opinion formation model considering two distinct mechanisms, namely independence and conviction. Independence is introduced in the model as a noise, by means of a probability of occurrence $q$. On the other…

Physics and Society · Physics 2016-05-20 Nuno Crokidakis

We introduce the confident voter model, in which each voter can be in one of two opinions and can additionally have two levels of commitment to an opinion --- confident and unsure. Upon interacting with an agent of a different opinion, a…

Physics and Society · Physics 2015-03-19 D. Volovik , S. Redner

Binary decision-making process is ubiquitous in social life and is of vital significance in many real-world issues, ranging from public health to political campaigns. While continuous opinion evolution independent of discrete choice…

Physics and Society · Physics 2021-05-26 Xuyang Chen , Xin Wang , Longzhao Liu , Shaoting Tang , Zhiming Zheng

Opinion dynamics of a group of individuals is the change in the members' opinions through mutual interaction with each other. The related literature contains works in which the dynamics is modeled as a continuous system, of which behavioral…

Dynamical Systems · Mathematics 2018-01-01 F. Ataş , A. Demirci , C. Özemir

We consider a simple decision model in which a set of agents randomly choose one of two competing shops selling the same perishable products (typically food). The satisfaction of agents with respect to a given store is related to the…

Physics and Society · Physics 2011-06-21 Gaultier Lambert , Guillaume Chevereau , Eric Bertin

Spontaneous symmetry breaking is a well-understood mechanism for generating distinct phases of matter. Recently, the notion of symmetry has been broadened to include operations without inverses, leading to the concept of non-invertible…

Strongly Correlated Electrons · Physics 2026-05-28 Xie Chen , Shang Liu , Da-chuan Lu , Nathanan Tantivasadakarn

In this paper we investigate the model of opinion dynamics with anticonformity on a complete graph. We show that below some threshold value of anticonformal behavior spontaneous reorientations occur between two stable states. Dealing with a…

Adaptation and Self-Organizing Systems · Physics 2015-05-27 Piotr Nyczka , Jerzy Cisło , Katarzyna Sznajd-Weron

A two state model for opinion forming, which has proven heuristic power, is reviewed with a novel emphasis on the existence or absence of a threshold for the dynamics. Monitored by repeated small groups discussions floater agents update…

Physics and Society · Physics 2008-03-18 Serge Galam

We study a model for social influence in which the agents' opinion is a continuous variable [G. Weisbuch et al., Complexity \textbf{7}, 2, 55 (2002)]. The convergent opinion adjustment process takes place as a result of random binary…

Statistical Mechanics · Physics 2007-05-23 M. F. Laguna , Guillermo Abramson , Damian H. Zanette

In this study, we present theoretical investigations of phase transitions and critical phenomena in materials through the lens of second-order Ginzburg-Landau theory, in conjunction with considerations of symmetry groups and thermal…

We propose a model for diffusion of two opposite opinions. Here, the decision to be taken by each individual is a random variable which depends on the tendency of the population, as well on its own trend characteristic. The influence of the…

Probability · Mathematics 2020-01-08 Manuel González-Navarrete , Rodrigo Lambert

Within the framework of an exactly solvable model, which takes into account the interaction of fluctuating modes with equal and opposite momenta, we consider phase diagrams in systems with coupled scalar order parameters. We show that, in…

Condensed Matter · Physics 2009-10-31 D. Nicolaides , A. A. Lisyansky