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In elections, the vote shares or turnout rates show a strong spatial correlation. The logarithmic decay with distance suggests that a 2D noisy diffusive equation describes the system. Based on the study of U.S. presidential elections data,…

Physics and Society · Physics 2019-05-29 Shintaro Mori , Masato Hisakado , Kazuaki Nakayama

The rise of social media and recommendation algorithms has sparked concerns about their role in fostering opinion polarization and echo chambers. We study these phenomena using an adaptive voter model to compare two connection mechanisms:…

Physics and Society · Physics 2026-01-22 Fabian Veider , Georg Jäger , Bao Quoc Tang

The adaptive voter model is widely used to model opinion dynamics in social complex networks. However, existing adaptive voter models are limited to only pairwise interactions and fail to capture the intricate social dynamics that arises in…

Physics and Society · Physics 2025-02-04 Anastasia Golovin , Jan Mölter , Christian Kuehn

We investigate the emergence and persistence of communities through a recently proposed mechanism of adaptive rewiring in coevolutionary networks. We characterize the topological structures arising in a coevolutionary network subject to an…

Physics and Society · Physics 2015-06-22 J. C. González-Avella , M. G. Cosenza , J. L. Herrera , K. Tucci

We investigate structural transitions in adaptive networks where node states remain fixed and only the connections evolve via state-dependent rewiring. Using a general framework characterized by probabilistic rules for disconnection and…

Physics and Society · Physics 2026-01-23 R. Cárdenas-Sabando , M. G. Cosenza , J. C. González-Avella

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

We study the dynamics of a class of two dimensional stochastic processes, depending on two parameters, which may be interpreted as two different temperatures, respectively associated to interfacial and to bulk noise. Special lines in the…

Statistical Mechanics · Physics 2009-10-31 J-M Drouffe , C Godreche

We investigate the Majority-Vote Model with two states ($-1,+1$) and a noise $q$ on Apollonian networks. The main result found here is the presence of the phase transition as a function of the noise parameter $q$. We also studies de effect…

Physics and Society · Physics 2015-06-05 F. W. S. Lima , André A. Moreira , Ascânio D. Araújo

We investigate mean-field dynamics of a nonlinear opinion formation model with congregator and contrarian agents. Each agent assumes one of the two possible states. Congregators imitate the state of other agents with a rate that increases…

Physics and Society · Physics 2013-12-25 Shoma Tanabe , Naoki Masuda

We investigate the phenomena of political bi-polarization in a population of interacting agents by means of a generalized version of the model introduced in PRE E 101, 012101 (2020) for the dynamics of voting intention. Each agent has a…

Physics and Society · Physics 2020-07-15 Nicolas Saintier , Juan Pablo Pinasco , Federico Vazquez

Plasticity-led evolution is a form of evolution where a change in the environment induces novel traits via phenotypic plasticity, after which the novel traits are genetically accommodated over generations under the novel environment. This…

Populations and Evolution · Quantitative Biology 2023-01-18 Eden Tian Hwa Ng , Akira R. Kinjo

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.…

We introduce the threshold $q$-voter opinion dynamics where an agent, facing a binary choice, can change its mind when at least $q_0$ amongst $q$ neighbors share the opposite opinion. Otherwise, the agent can still change its mind with a…

Physics and Society · Physics 2018-07-11 Allan R. Vieira , Celia Anteneodo

We employ the state-of-the-art molecular dynamics simulations to study the kinetics of phase separation and aging phenomena of segregating binary fluid mixtures imbibed in porous materials. Different random porous structures are considered…

Soft Condensed Matter · Physics 2022-12-07 Rounak Bhattacharyya , Bhaskar Sen Gupta

Continuum models of plasticity fail to capture the richness of microstructural evolution because the continuum is a homogeneous construction. The present study shows that an alternative way is available at the mesoscale in the form of truly…

Materials Science · Physics 2025-10-01 Afonso D. M. Barroso , Elijah Borodin , Andrey P. Jivkov

In the voter model, vertices of a graph (interpreted as voters) adopt one out of two opinions (0 and 1), and update their opinions at random times by copying the opinion of a neighbor chosen uniformly at random. This process is dual to a…

Probability · Mathematics 2024-09-25 Jhon Astoquillca

Information diffusion in online social networks is affected by the underlying network topology, but it also has the power to change it. Online users are constantly creating new links when exposed to new information sources, and in turn…

Social and Information Networks · Computer Science 2016-04-04 Mehrdad Farajtabar , Yichen Wang , Manuel Gomez Rodriguez , Shuang Li , Hongyuan Zha , Le Song

The propagations of diseases, behaviors and information in real systems are rarely independent of each other, but they are coevolving with strong interactions. To uncover the dynamical mechanisms, the evolving spatiotemporal patterns and…

Physics and Society · Physics 2019-10-02 Wei Wang , Quan-Hui Liu , Junhao Liang , Yanqing Hu , Tao Zhou

We develop a general criterion about coarsening for a class of nonlinear evolution equations describing one dimensional pattern-forming systems. This criterion allows one to discriminate between the situation where a coarsening process…

Statistical Mechanics · Physics 2007-05-23 Paolo Politi , Chaouqi Misbah

A major issue in harmonic analysis is to capture the phase dependence of frequency representations, which carries important signal properties. It seems that convolutional neural networks have found a way. Over time-series and images,…

Signal Processing · Electrical Eng. & Systems 2019-07-02 Stéphane Mallat , Sixin Zhang , Gaspar Rochette