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Noise play a creative role in the evolution of periodic and complex systems which are essential for continuous performance of the system. The interaction of noise generated within one component of a chaotic system with other component in a…

Chaotic Dynamics · Physics 2019-11-11 A. O. Adelakun , S. T. Ogunjo , I. A. Fuwape

The ability of Gaussian noise to induce ordered states in dynamical systems is here presented in an overview of the main stochastic mechanisms able to generate spatial patterns. These mechanisms involve: (i) a deterministic local dynamics…

Statistical Mechanics · Physics 2012-05-14 Stefania Scarsoglio , Francesco Laio , Paolo D'Odorico , Luca Ridolfi

We study the behaviour of interacting self-propelled particles, whose self-propulsion speed decreases with their local density. By combining direct simulations of the microscopic model with an analysis of the hydrodynamic equations obtained…

Statistical Mechanics · Physics 2012-06-25 F. D. C. Farrell , J. Tailleur , D. Marenduzzo , M. C. Marchetti

Synchronization of coupled oscillators is a paradigm for complexity in many areas of science and engineering. Any realistic network model should include noise effects. We present a description in terms of phase and amplitude deviation for…

Adaptation and Self-Organizing Systems · Physics 2019-05-09 Michele Bonnin , Fernando Corinto , Valentina Lanza

We consider swarms formed by populations of self-propelled particles with attractive long-range interactions. These swarms represent multistable dynamical systems and can be found either in coherent traveling states or in an incoherent…

adap-org · Physics 2009-10-31 A. S. Mikhailov , D. H. Zanette

Studies of active matter, from molecular assemblies to animal groups, have revealed two broad classes of behavior: a tendency to align yields orientational order and collective motion, whereas particle repulsion leads to self-trapping and…

Soft Condensed Matter · Physics 2021-11-23 Jie Zhang , Ricard Alert , Jing Yan , Ned S. Wingreen , Steve Granick

Localized contractile configurations or asters spontaneously appear and disappear as emergent structures in the collective stochastic dynamics of active polar actomyosin filaments. Passive parti- cles which (un)bind to the active filaments…

Soft Condensed Matter · Physics 2016-02-17 Amit Das , Anirban Polley , Madan Rao

We discuss the generation of entangled states of two two-level atoms coupled simultaneously with a dissipated atom. The dissipation of the atom is supposed to come from its coupling to a noise with adjustable intensity. We describe how the…

Quantum Physics · Physics 2014-11-18 J. Chen , X. X. Yi , H. S. Song , L. Zhou

Within a simple model of attractive active Brownian particles, we predict flocking behavior and challenge the widespread idea that alignment interactions are necessary to observe this collective phenomenon. Here, we show that even…

Soft Condensed Matter · Physics 2023-04-19 Lorenzo Caprini , Hartmut Löwen

The presence of noise in non linear dynamical systems can play a constructive role, increasing the degree of order and coherence or evoking improvements in the performance of the system. An example of this positive influence in a biological…

Dynamical Systems · Mathematics 2016-09-07 M. -P. Zorzano , L. Vazquez

We report relationships between the effects of noise and applied constant currents on the behavior of a system of excitable elements. The analytical approach based on the nonlinear Fokker-Planck equation of a mean-field model allows us to…

Disordered Systems and Neural Networks · Physics 2011-01-04 K. Okumura , M. Shiino

We study the one-dimensional active Ising model in which aligning particles undergo diffusion biased by the signs of their spins. The phase diagram obtained varying the density of particles, their hopping rate and the temperature…

Statistical Mechanics · Physics 2024-10-17 Brieuc Benvegnen , Hugues Chaté , Pavel Krapivsky , Julien Tailleur , Alexandre Solon

In pattern forming systems such as Rayleigh-Benard convection or directional solidification, a large number of linearly stable, patterned steady states exist when the basic, simple steady state is unstable. Which of these steady states will…

patt-sol · Physics 2009-10-28 Douglas A. Kurtze

Nonreciprocal coupling can alter the transport properties of material media, producing striking phenomena such as unidirectional amplification of waves, boundary modes, or self-assembled pattern formation. It is responsible for nonlinear…

Pattern Formation and Solitons · Physics 2026-04-14 David Pinto-Ramos , Karin Alfaro-Bittner , René G. Rojas , Marcel G. Clerc

In oscillatory reaction-diffusion systems, time-delay feedback can lead to the instability of uniform oscillations with respect to formation of standing waves. Here, we investigate how the presence of additive, Gaussian white noise can…

Statistical Mechanics · Physics 2016-08-17 Michael Stich , Amit K Chattopadhyay

Diffusion models generate structure by progressively transforming noise into data, yet the mechanisms underlying this transition remain poorly understood. In this work, we show that pattern formation in trained diffusion models can be…

Machine Learning · Computer Science 2026-04-29 Luca Ambrogioni

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

Systems composed of interacting self-propelled particles (SPPs) display different forms of order-disorder phase transitions relevant to collective motion. In this paper we propose a generalization of the Vicsek model characterized by an…

Adaptation and Self-Organizing Systems · Physics 2021-04-14 Pau Clusella , Romualdo Pastor-Satorras

We study a coupled driven system where two different species of particles, along with some vacancies or holes, move on a landscape whose shape fluctuates with time. The movement of the particles is guided by the local shape of the…

Statistical Mechanics · Physics 2026-02-06 Chandradip Khamrai , Sakuntala Chatterjee

The emergence of order from initial disordered movement in self-propelled collective motion is an instance of nonequilibrium phase transition, which is known to be first order in the thermodynamic limit. Here, we introduce a multiplicative…

Statistical Mechanics · Physics 2024-04-30 Fatemeh Haghsheno , Mohammad Mehrafarin
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