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Nonlinear dynamical systems subjected to a combination of noise and time-varying forcing can exhibit sudden changes, critical transitions or tipping points where large or rapid dynamic effects arise from changes in a parameter that are…

Chaotic Dynamics · Physics 2024-05-21 Peter Ashwin , Julian Newman , Raphael Römer

We investigate the influence of time-varying environmental noise, i.e., temporal disorder, on the nonequilibrium phase transition of the contact process. Combining a real-time renormalization group, scaling theory, and large scale…

Statistical Mechanics · Physics 2016-08-25 Hatem Barghathi , Jose A. Hoyos , Thomas Vojta

We present a study of disorder origination and growth inside an ordered phase processes induced by the presence of multiplicative noise within mean-field approximation. Our research is based on the study of solutions of the nonlinear…

Pattern Formation and Solitons · Physics 2017-03-14 S. E. Kurushina , E. A. Shapovalova

We realize an extensive numerical study of the Naming Game model with a noise term which accounts for perturbations. This model displays a non-equilibrium phase transition between an absorbing ordered consensus state, which occurs for small…

Physics and Society · Physics 2016-11-15 E. Brigatti , A. Hernández

In this paper, we investigate phase transitions in the Majority-Vote model coupled with noise layers of different structures. We examine the Square lattice and Random-regular networks, as well as their combinations, for both vote layers and…

Physics and Society · Physics 2024-10-10 Wei Liu , Jincheng Wang , Fangfang Wang , Kai Qi , Zengru Di

We study an ensemble of random walkers carrying internal noisy phase oscillators which are synchronized among the walkers by local interactions. Due to individual mobility, the interaction partners of every walker change randomly, hereby…

Statistical Mechanics · Physics 2016-05-04 Robert Großmann , Fernando Peruani , Markus Bär

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

Quantum criticality emerges from the collective behavior of many interacting quantum particles, often at the transition between different phases of matter. It is one of the cornerstones of condensed matter physics, which we access on noisy…

Quantum Physics · Physics 2022-07-14 Maxime Dupont , Joel E. Moore

Inspired by the swarming or flocking of animal systems we study groups of agents moving in unbounded 2D space. Individual trajectories derive from a ``bottom-up'' principle: individuals reorient to maximise their future path entropy over…

Statistical Mechanics · Physics 2023-04-21 Harvey L. Devereux , Matthew S. Turner

Here we study a noise induced transition when the system is driven by a noise source taken as colored and non-Gaussian. We show--using both, a theoretical approximation and numerical simulations-- that there is a shift of the transition as…

Statistical Mechanics · Physics 2009-11-10 Horacio S. Wio , Raul Toral

We study the effects of noise on the dynamics of a system of coupled self-propelling particles in the case where the coupling is time-delayed, and the delays are discrete and randomly generated. Previous work has demonstrated that the…

Pattern Formation and Solitons · Physics 2012-10-08 Brandon Lindley , Luis Mier-y-Teran-Romero , Ira B. Schwartz

Large populations of globally-coupled identical maps subjected to independent additive noise are shown to undergo qualitative changes as the features of the stochastic process are varied. We show that for strong coupling, the collective…

Statistical Mechanics · Physics 2009-11-10 Silvia De Monte , Francesco d'Ovidio , Hugues Chaté , Erik Mosekilde

We study stochastic dynamics of an ensemble of N globally coupled excitable elements. Each element is modeled by a FitzHugh-Nagumo oscillator and is disturbed by independent Gaussian noise. In simulations of the Langevin dynamics we…

Statistical Mechanics · Physics 2009-11-11 M. Zaks , X. Sailer , L. Schimansky-Geier , A. Neiman

We investigate the effect of self-propulsion on a mean-field order-disorder transition. Starting from a $\varphi^4$ scalar field theory subject to an exponentially correlated noise, we exploit the Unified Colored Noise Approximation to map…

Statistical Mechanics · Physics 2016-11-15 Matteo Paoluzzi , Claudio Maggi , Umberto Marini Bettolo Marconi , Nicoletta Gnan

Experimental systems with a first order phase transition will often exhibit hysteresis when out of equilibrium. If defects are present, the hysteresis loop can have different shapes: with small disorder the hysteresis loop has a macroscopic…

Condensed Matter · Physics 2007-05-23 Olga Perkovic , Karin A. Dahmen , James P. Sethna

Diverse complex dynamical systems are known to exhibit abrupt regime shifts at bifurcation points of the saddle-node type. The dynamics of most of these systems, however, have a stochastic component resulting in noise driven regime shifts…

Statistical Mechanics · Physics 2013-10-29 Sayantari Ghosh , Amit Kumar Pal , Indrani Bose

The label noise transition matrix $T$, reflecting the probabilities that true labels flip into noisy ones, is of vital importance to model label noise and design statistically consistent classifiers. The traditional transition matrix is…

Machine Learning · Computer Science 2020-12-03 Xiaobo Xia , Tongliang Liu , Bo Han , Nannan Wang , Jiankang Deng , Jiatong Li , Yinian Mao

Continuous phase transitions are studied in a two dimensional nonequilibrium model with an infinite number of absorbing configurations. Spreading from a localized source is characterized by nonuniversal critical exponents, which vary…

Condensed Matter · Physics 2009-10-28 Ronald Dickman

We use particle dynamics simulations to probe the correlations between noise and dynamics in a variety of disordered systems, including superconducting vortices, 2D electron liquid crystals, colloids, domain walls, and granular media. The…

Superconductivity · Physics 2009-11-10 C. J. Olson Reichhardt , C. Reichhardt

Coupling dynamics of the states of the nodes of a network to the dynamics of the network topology leads to generic absorbing and fragmentation transitions. The coevolving voter model is a typical system that exhibits such transitions at…

Physics and Society · Physics 2015-09-14 Marina Diakonova , Victor M. Eguiluz , Maxi San Miguel
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