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We show that the two-dimensional voter model, usually considered to only be a marginal coarsening system, represents a broad class of models for which phase-ordering takes place without surface tension. We argue that voter-like growth is…

Statistical Mechanics · Physics 2016-08-31 Ivan Dornic , Hugues Chaté , Jérôme Chave , Haye Hinrichsen

This paper investigates absorbing-state phase transitions in opinion dynamics through a master-node network model analyzed using annealing approximation. We develop a theoretical framework examining three fundamental regimes: systems…

Physics and Society · Physics 2025-12-29 M. O. Hase , Anderson A. Ferreira , André C. R. Martins , Fernando F. Ferreira

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…

Physics and Society · Physics 2020-05-27 Bartłomiej Nowak , Katarzyna Sznajd-Weron

Galam's model of people voting always against the majority is shown to give for the quenched case different results than the original annealed model. For people diffusing on a lattice, Galam's phase transitions happen only at higher…

Statistical Mechanics · Physics 2007-05-23 D. Stauffer , J. S. Sa Martins

We explore the effects that quenched disorder has on discontinuous nonequilibrium phase transitions into absorbing states. We focus our analysis on the Naming Game model, a nonequilibrium low-dimensional system with different absorbing…

Statistical Mechanics · Physics 2020-02-18 Minos A. Neto , E. Brigatti

We consider learnability transitions in monitored quantum systems that undergo noisy evolution, subject to a global strong symmetry -- i.e., in addition to the measuring apparatus, the system can interact with an unobserved environment, but…

Quantum Physics · Physics 2026-02-19 Hansveer Singh , Romain Vasseur , Andrew C. Potter , Sarang Gopalakrishnan

We propose a modeling framework for binary-choice dynamics in which agents update their states using two mechanisms selected based on individual preference drawn from an arbitrary distribution. We compare annealed dynamics, where…

Physics and Society · Physics 2025-11-25 Arkadiusz Jędrzejewski , José F. F. Mendes

We consider a population of two-dimensional oscillators with random couplings, and explore the collective states. The coupling strength between oscillators is randomly quenched with two values one of which is positive while the other is…

Soft Condensed Matter · Physics 2021-11-10 Hyunsuk Hong , Kangmo Yeo , Hyun Keun Lee

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…

Physics and Society · Physics 2012-12-20 Sebastian M. Krause , Philipp Böttcher , Stefan Bornholdt

We define a stochastic reaction-diffusion process that describes a consensus formation in a non-sedentary population. The process is a diffusive version of the Majority Vote model, where the state update follows two stages: in the first…

Statistical Mechanics · Physics 2022-03-14 J. R. S. Lima , F. W. S. Lima , T. F. A. Alves , G. A. Alves , A. Macedo-Filho

Many theoretical studies of the voter model (or variations thereupon) involve order parameters that are population-averaged. While enlightening, such quantities may obscure important statistical features that are only apparent on the level…

Physics and Society · Physics 2021-06-02 Joseph W. Baron

Understanding and quantifying polarization in social systems is important because of many reasons. It could for instance help to avoid segregation and conflicts in the society or to control polarized debates and predict their outcomes. In…

Physics and Society · Physics 2017-10-11 Tyll Krueger , Janusz Szwabiński , Tomasz Weron

Quenched disorder - in the sense of the Harris criterion - is generally a relevant perturbation at an absorbing state phase transition point. Here using a strong disorder renormalization group framework and effective numerical methods we…

Statistical Mechanics · Physics 2009-11-10 Jef Hooyberghs , Ferenc Igloi , Carlo Vanderzande

The voter model with multiple states has found applications in areas as diverse as population genetics, opinion formation, species competition and language dynamics, among others. In a single step of the dynamics, an individual chosen at…

Physics and Society · Physics 2019-10-09 Federico Vazquez , Ernesto S. Loscar , Gabriel Baglietto

People often express opinions that differ from their privately held views, a phenomenon known in economy as preference falsification. Expressed-private opinion (EPO) models capture this by assigning each agent two dynamical variables: a…

Physics and Society · Physics 2026-05-15 Barbara Kamińska , Barbara Nowak , Arkadiusz Lipiecki , Katarzyna Sznajd-Weron

We investigate the role of contrarians in a recently proposed weighted-influence variant of the $q$-voter model. In this framework, non-unanimous influence groups affect the focal agent through weighted contributions governed by a bias…

Physics and Society · Physics 2025-09-03 Amit Pradhan , Pratik Mullick , Parongama Sen

In a three state kinetic exchange opinion formation model, the effect of extreme switches was considered in a recent paper. In the present work, we study the same model with disorder. Here disorder implies that negative interactions may…

Statistical Mechanics · Physics 2023-05-08 Kathakali Biswas , Parongama Sen

Voting is an important social activity for expressing public opinions. By conceptually considering a group of voting agents to be intelligent matter, the impact of real-time information on voting results is quantitatively studied by an…

Statistical Mechanics · Physics 2026-03-16 Guanyu Xu , Jiahang Chen , Xin Zhou , Yanting Wang

Engaging with dissenting views, fostering productive disagreements or strategic anticonformity can benefit organizations as it challenges the status quo. The question arises, however, whether such strategic anticonformity ultimately leads…

Physics and Society · Physics 2024-04-08 Arkadiusz Lipiecki , Katarzyna Sznajd-Weron

We study the bi-dimensional $q$-Potts model with long-range bond correlated disorder. Similarly to [C. Chatelain, Phys. Rev. E 89, 032105], we implement a disorder bimodal distribution by coupling the Potts model to auxiliary…

Statistical Mechanics · Physics 2023-04-19 Francesco Chippari , Marco Picco , Raoul Santachiara