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The Ising model is one of the simplest and most famous models of interacting systems. It was originally proposed to model ferromagnetic interactions in statistical physics and is now widely used to model spatial processes in many areas such…

统计理论 · 数学 2016-02-12 Abraham Martin del Campo , Sarah Cepeda , Caroline Uhler

We analyze a kinetic Ising model with suppressed bulk noise which is a prominent representative of the generalized voter model phase transition. On the one hand we discuss the model in the context of social systems, and opinion formation in…

物理与社会 · 物理学 2012-12-20 Sebastian M. Krause , Philipp Böttcher , Stefan Bornholdt

Recent research has developed the Ising model from physics, especially statistical mechanics, and it plays an important role in quantum computing, especially quantum annealing and quantum Monte Carlo methods. The model has also been used in…

物理与社会 · 物理学 2024-04-26 Yasuko Kawahata

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 Hegselmann--Krause model is a prototypical model for opinion dynamics. It models the stochastic time evolution of an agent's or voter's opinion in response to the opinion of other like-minded agents. The Hegselmann--Krause model only…

物理与社会 · 物理学 2025-02-26 Patrick H. Cahill , Georg A. Gottwald

The Ising model is a model for pairwise interactions between binary variables that has become popular in the psychological sciences. It has been first introduced as a theoretical model for the alignment between positive (+1) and negative…

统计方法学 · 统计学 2020-03-16 Jonas Haslbeck , Sacha Epskamp , Maarten Marsman , Lourens Waldorp

Many empirical networks are intrinsically pluralistic, with interactions occurring within groups of arbitrary agents. Then the agent in the network can be influenced by types of neighbors, common examples include similarity, opposition, and…

物理与社会 · 物理学 2020-05-12 Shuo Liu , Xiwang Guan , Shuangling Luo , Haoxiang Xia

We survey a range of models of opinion exchange. From the introduction: "The exchange of opinions between individuals is a fundamental social interaction... Moreover, many models in this field are an excellent playground for mathematicians,…

概率论 · 数学 2017-07-11 Elchanan Mossel , Omer Tamuz

The well-known Ising model used in statistical physics was adapted to a social dynamics context to simulate the adoption of a technological innovation. The model explicitly combines (a) an individual's perception of the advantages of an…

物理与社会 · 物理学 2015-05-20 Carlos E. Laciana , Santiago L. Rovere

Recent years saw an increased interest in modeling and understanding the mechanisms of opinion and innovation spread through human networks. Using analysis of real-world social data, researchers are able to gain a better understanding of…

社会与信息网络 · 计算机科学 2016-03-29 Ajay Saini , Natasha Markuzon

With the rise of computational social science, many scholars utilize data analysis and natural language processing tools to analyze social media, news articles, and other accessible data sources for examining political and social discourse.…

计算与语言 · 计算机科学 2024-04-05 Tinatin Osmonova , Alexey Tikhonov , Ivan P. Yamshchikov

The Ising model was originally developed to model magnetisation of solids in statistical physics. As a network of binary variables with the probability of becoming 'active' depending only on direct neighbours, the Ising model appears…

统计理论 · 数学 2018-07-31 Lourens Waldorp , Maarten Marsman , Gunter Maris

We study mean-field Ising models whose coupling depends on the magnetization via a feedback function. We identify mixed phases (MPs) and show that they can be stable at zero temperature for sufficiently strong feedback. Moreover, stable MPs…

统计力学 · 物理学 2025-06-11 Yi-Ping Ma , Ivan Sudakow , P. L. Krapivsky

A method for studying exact properties of a class of {\it inhomogeneous} stochastic many-body systems is developed and presented in the framework of a voter model perturbed by the presence of a ``zealot'', an individual allowed to favour an…

统计力学 · 物理学 2007-05-23 Mauro Mobilia

In this work we study opinion formation in a population participating of a public debate with two distinct choices. We considered three distinct mechanisms of social interactions and individuals' behavior: conformity, nonconformity and…

物理与社会 · 物理学 2015-12-11 Nuno Crokidakis , Paulo Murilo Castro de Oliveira

In this study the magnetization phenomenon has been investigated as a behavior of interacting elementary moments ensemble, with the help of Ising model [1] in the frame of non-extensive statistical mechanics. To investigate the physical…

统计力学 · 物理学 2007-05-23 M. Karabekirogullari , F. Buyukkilic , D. Demirhan

In this paper we consider the modeling of opinion dynamics over time dependent large scale networks. A kinetic description of the agents' distribution over the evolving network is considered which combines an opinion update based on binary…

数值分析 · 数学 2016-04-05 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

There is a large amount of interest in understanding users of social media in order to predict their behavior in this space. Despite this interest, user predictability in social media is not well-understood. To examine this question, we…

社会与信息网络 · 计算机科学 2013-08-27 David Darmon , Jared Sylvester , Michelle Girvan , William Rand

The magnetocaloric effect in a two-dimensional Ising model is considered for different ratios between parameters of inter-site repulsion of nonmagnetic impurities and exchange coupling. Classical Monte Carlo simulations on a square lattice…

计算物理 · 物理学 2021-09-22 A. V. Shadrin , V. A. Ulitko , Yu. D. Panov

We propose a minimal multi-agent model for the collective dynamics of opinion formation in the society, by modifying kinetic exchange dynamics studied in the context of income, money or wealth distributions in a society. This model has an…