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Related papers: Discontinuous phase transitions in the multi-state…

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We study, using Monte Carlo simulations, the steady state properties of a system of particles interacting via hard core exclusion and moving in a discrete flashing disordered ratchet potential. Quenched disorder is introduced by breaking…

Statistical Mechanics · Physics 2015-10-28 Jim Chacko , Goutam Tripathy

Distinct works have claimed that spatial (quenched) disorder can suppress the discontinuous absorbing phase transitions. Conversely, the scenario for temporal disorder for discontinuous absorbing phase transitions is unknown. In order to…

Statistical Mechanics · Physics 2016-11-28 M. M. de Oliveira , Carlos. E. Fiore

Interactions in active matter systems inherently involve delays due to information processing and actuation lags. We numerically investigate the impact of such delays on the phase behavior of the Vicsek model for motile active matter at a…

Soft Condensed Matter · Physics 2025-08-08 Robert Horton , Viktor Holubec

We study the effects of diffusing opinions on the Deffuant et al. model for continuous opinion dynamics. Individuals are given the opportunity to change their opinion, with a given probability, to a randomly selected opinion inside an…

Physics and Society · Physics 2011-04-27 M. Pineda , R. Toral , E. Hernandez-Garcia

In the evolving voter model, when an individual interacts with a neighbor having an opinion different from theirs, they will with probability $1-\alpha$ imitate the neighbor but with probability $ \alpha$ will sever the connection and…

Probability · Mathematics 2016-06-28 Anirban Basak , Rick Durrett , Yuan Zhang

We investigate the dynamical mode population statistics and associated first- and second-order coherence of an interacting bosonic two-mode model when the pair-exchange coupling is quenched from negative to positive values. It is shown that…

Quantum Gases · Physics 2011-07-26 Uwe R. Fischer , Kang-Soo Lee , Bo Xiong

We study a binary dynamical process that is a representation of the voter model with opinion makers. The process models an election with two candidates but can also describe the frequencies of a biallelic gene in a population or atoms with…

Adaptation and Self-Organizing Systems · Physics 2015-11-04 Carolina A. Moreira , Marcus A. M. de Aguiar

We observe the outcome of the discrete time noisy voter model at a single vertex of a graph. We show that certain pairs of graphs can be distinguished by the frequency of repetitions in the sequence of observations. We prove that this…

Combinatorics · Mathematics 2023-02-15 Itai Benjamini , Hagai Helman Tov , Maksim Zhukovskii

We investigate the effect of quenched bond-disorder on the anisotropic spin-1/2 (XXZ) chain as a model for disorder induced quantum phase transitions. We find non-universal behavior of the average correlation functions for weak disorder,…

Disordered Systems and Neural Networks · Physics 2009-11-07 K. Hamacher , J. Stolze , W. Wenzel

We investigate the coarsening dynamics of a simplified version of the persistent voter model in which an agent can become a zealot -- i.e. resistent to change opinion -- at each step, based on interactions with its nearest neighbors. We…

Statistical Mechanics · Physics 2026-03-17 R. G. de Almeida , J. J. Arenzon , F. Corberi , W. G. Dantas , L. Smaldone

Belief perseverance is the widely documented tendency of holding to a belief, even in the presence of contradicting evidence. In online environments, this tendency leads to heated arguments with users ``blocking'' each other. Introducing…

Physics and Society · Physics 2025-01-20 André Martin Timpanaro

Quenched or frozen-in structural disorder is ubiquitous in real experimental systems. Much of the progress is achieved in understanding the phase separation of such systems using the diffusion-driven coarsening in Ising model with quenched…

Soft Condensed Matter · Physics 2023-08-15 Rounak Bhattacharyya , Bhaskar Sen Gupta

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

Motivated by two different types of disorder that occur in quantum systems with ubiquity, namely, the random and the quasiperiodic (QP) disorder, we have performed a systematic comparison of the emerging phase properties corresponding to…

Disordered Systems and Neural Networks · Physics 2022-12-28 Sk Noor Nabi , Shilpi Roy , Saurabh Basu

We consider the distribution of high-dimensional entangled states to multiple parties via noisy channels and the subsequent probabilistic conversion of these states to desired target states using stochastic local operations and classical…

Quantum Physics · Physics 2022-06-01 Simon Morelli , David Sauerwein , Michalis Skotiniotis , Nicolai Friis

We investigate the effect of weak disorder on different coupled $q$-state Potts models with $q\le 4$ using two loops renormalisation group. This study presents new examples of first order transitions driven by randomness. We found that weak…

Disordered Systems and Neural Networks · Physics 2009-10-30 P. Simon

The symmetric exclusion process and the voter model are two interacting particle systems for which a dual finite particle system allows one to characterize its invariant measures. Adding spontaneous births and deaths to the two processes…

Probability · Mathematics 2007-05-23 Paul Jung

We have simulated, by using cluster algorithm, the $q=8$ state Potts model in two-dimension with varying amount of quenched bond randomness. We have shown that there exist a finite size dependent threshold value of the introduced quenched…

Condensed Matter · Physics 2016-08-15 Fatih Yaşar , Yiğit Gündüç , Tarık Çelik

The classic Hegselmann-Krause (HK) model for opinion dynam- ics consists of a set of agents on the real line, each one instructed to move, at every time step, to the mass center of all the agents within a fixed distance R. In this work, we…

Optimization and Control · Mathematics 2015-11-26 Chu Wang , Qianxiao Li , Weinan E , Bernard Chazelle

Majority-vote model is a much-studied model for social opinion dynamics of two competing opinions. With the recent appreciation that our social network comprises a variety of different layers forming a multiplex network, a natural question…

Physics and Society · Physics 2019-05-22 Jeehye Choi , K. -I. Goh