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We investigate the phase behavior and kinetics of a monodisperse mixture of active (\textit{i.e.}, self-propelled) and passive isometric Brownian particles through Brownian dynamics simulations and theory. As in a purely active system,…

Soft Condensed Matter · Physics 2015-01-08 Joakim Stenhammar , Raphael Wittkowski , Davide Marenduzzo , Michael E. Cates

Noise can induce coherent oscillations in excitable systems without periodic orbits. Here, we establish a method to derive a hybrid system approximating the noise-induced coherent oscillations in excitable systems and further perform phase…

Adaptation and Self-Organizing Systems · Physics 2022-05-26 Jinjie Zhu , Yuzuru Kato , Hiroya Nakao

Noisy pursuit in complex environments drives emergent collective behaviors in active matter systems. A compelling platform to study the impact of environment cues is provided by the standard Vicsek model for studying flocking and swarming…

Soft Condensed Matter · Physics 2026-03-04 Mohd Yasir Khan

We consider the steady-state behavior of pairs of active particles having different persistence times and diffusivities. To this purpose we employ the active Ornstein-Uhlenbeck model, where the particles are driven by colored noises with…

Soft Condensed Matter · Physics 2018-01-17 René Wittmann , Joseph M. Brader , Abhinav Sharma , Umberto Marini Bettolo Marconi

Effect of noise in inducing order on various chaotically evolving systems is reviewed, with special emphasis on systems consisting of coupled chaotic elements. In many situations it is observed that the uncoupled elements when driven by…

chao-dyn · Physics 2015-06-24 Manojit Roy , R. E. Amritkar

A general approach to consider spatially extended stochastic systems with correlations between additive and multiplicative noises subject to nonlinear damping is developed. Within modified cumulant expansion method, we derive an effective…

Statistical Mechanics · Physics 2009-11-10 A. I. Olemskoi , D. O. Kharchenko , I. A. Knyaz'

The Vicsek model has long stood as a pivotal framework in exploring collective behavior and self-organization, captivating the scientific community with its compelling dynamics. However, understanding how noise influences synchronization…

Mathematical Physics · Physics 2025-03-10 Wei Su , Yongguang Yu , Ge Chen

Active systems, or active matter, are self-driven systems which live, or function, far from equilibrium - a paradigmatic example which we focus on here is provided by a suspension of self-motile particles. Active systems are far from…

Soft Condensed Matter · Physics 2015-05-19 Giuseppe Gonnella , Davide Marenduzzo , Antonio Suma , Adriano Tiribocchi

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 carry out a comprehensive linear stability analysis of active Brownian particle systems around a constant homogeneous state. These scalar models, being important prototypes for the continuous description of active matter, are…

Analysis of PDEs · Mathematics 2025-12-22 Michele Coti Zelati , Lucas Ertzbischoff , David Gerard-Varet

We consider two (off-lattice) varieties of out-of-equilibrium systems, viz., granular and active matter systems, that, in addition to displaying velocity ordering, exhibit fascinating pattern formation in the density field, similar to those…

Soft Condensed Matter · Physics 2025-04-17 Subir K. Das , Sohini Chatterjee , Wasim Akram , Subhajit Paul , Saikat Chakraborty , Arabinda Bera

The phase diagram of self-propelled hard disk systems with Vicsek-type alignment interactions was investigated by event-driven molecular dynamics simulations. The model incorporates two competing order parameters: the polar order-disorder…

Soft Condensed Matter · Physics 2026-03-19 Nobuaki Murase , Masaharu Isobe

We investigate a simple Vicsek-type rule-based model for self-propelled particles, where each particle orients itself antiparallel to the average orientation of particles within a defined neighborhood of radius $R$. The particle orientation…

Soft Condensed Matter · Physics 2024-12-17 P. Bisht

In a system of noisy self-propelled particles with interactions that favor directional alignment, collective motion will appear if the density of particles increases beyond a certain threshold. In this paper, we argue that such a threshold…

Soft Condensed Matter · Physics 2010-03-29 Chiu Fan Lee

We study the synchronization behavior of a noisy network in which each system is driven by two sources of state-dependent noise: (1) an intrinsic noise which is common among all systems and can be generated by the environment or any…

Dynamical Systems · Mathematics 2021-03-09 Zahra Aminzare , Vaibhav Srivastava

We present some result about phase separation in coupled map lattices with additive noise. We show that additive noise acts as an ordering agent in this class of systems. In particular, in the weak coupling region, a suitable quantity of…

Disordered Systems and Neural Networks · Physics 2009-10-31 Leonardo Angelini , Mario Pellicoro , Sebastiano Stramaglia

We consider effect of stochastic sources upon self-organization process being initiated with creation of the limit cycle. General expressions obtained are applied to the stochastic Lorenz system to show that departure from equilibrium…

Statistical Mechanics · Physics 2015-05-13 I. A. Shuda , S. S. Borysov , A. I. Olemskoi

Self-propelled particles, like motile cells and artificial colloids, can spontaneously form macroscopic clusters. This phenomenon is called motility-induced phase separation (MIPS) and occurs even without attractive forces, provided that…

Soft Condensed Matter · Physics 2025-09-26 Felipe Hawthorne , Pablo de Castro , José A. Freire

Active particles with a (magnetic) dipole moment are of interest for steering self-propelled motion, but also result in novel collective effects due to their dipole-dipole interaction. Here systems of active dipolar particles are studied…

Soft Condensed Matter · Physics 2025-12-30 Vitali Telezki , Stefan Klumpp

The Vicsek model encompasses the paradigm of active dry matter. Motivated by collective behavior of insects in swarms, we have studied finite size effects and criticality in the three dimensional, harmonically confined Vicsek model. We have…

Statistical Mechanics · Physics 2023-01-18 R. González-Albaladejo , A. Carpio , L. L. Bonilla
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