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We study synchronization and noise-induced resonance phenomena in systems of globally coupled oscillators, each possessing finite inertia. The behavior of the order parameter, which measures collective synchronization of the system, is…

Statistical Mechanics · Physics 2009-10-31 H. Hong , M. Y. Choi

We present a generic mechanism by which reproducing microorganisms, with a diffusivity that depends on the local population density, can form stable patterns. It is known that a decrease of swimming speed with density can promote separation…

Populations and Evolution · Quantitative Biology 2010-07-13 M. E. Cates , D. Marenduzzo , I. Pagonabarraga , J. Tailleur

Turing instability in activator-inhibitor systems provides a paradigm of nonequilibrium pattern formation; it has been extensively investigated for biological and chemical processes. Turing pattern formation should furthermore be possible…

Adaptation and Self-Organizing Systems · Physics 2010-05-13 Hiroya Nakao , Alexander S. Mikhailov

We study analytically the structure of an arbitrary order correlation function for a pair of Fock states and prove without any approximations that in a single measurement of particle positions interference effects must occur as…

Quantum Physics · Physics 2009-11-13 Andrzej Dragan , Pawel Zin

Collective movement is observed widely in nature, where individuals interact locally to produce globally ordered, coherent motion. In typical models of collective motion, each individual takes the average direction of multiple neighbors,…

Quantitative Methods · Quantitative Biology 2026-01-23 Yogesh Kumar KC , Arshed Nabeel , Srikanth Iyer , Vishwesha Guttal

Natural flocks need to cope with various forms of heterogeneities, for instance, their composition, motility, interaction, or environmental factors. Here, we study the effects of such heterogeneities on the flocking dynamics of the…

Statistical Mechanics · Physics 2025-12-15 Aditya Kumar Dutta , Matthieu Mangeat , Heiko Rieger , Raja Paul , Swarnajit Chatterjee

Mixtures of active and passive particles are predicted to exhibit a variety of nonequilibrium phases. Here we report a dynamic clustering phase in mixtures of colloids and motile bacteria. We show that colloidal clustering results from a…

Soft Condensed Matter · Physics 2022-05-25 Shreyas Gokhale , Junang Li , Alexandre Solon , Jeff Gore , Nikta Fakhri

In this study, we use machine learning to classify and interpolate the phase structure of the Vicsek flocking model across the three-dimensional parameter space $(\eta,\rho,v_0)$. We construct a dataset of simulated parameter points and…

Soft Condensed Matter · Physics 2026-05-01 Grace T. Bai , Brandon B. Le

Non-aligning self-propelled particles with purely repulsive excluded volume interactions undergo athermal motility-induced phase separation into a dilute gas and a dense cluster phase. Here, we use enhanced sampling computational methods…

Soft Condensed Matter · Physics 2016-10-05 Gabriel S. Redner , Caleb G. Wagner , Aparna Baskaran , Michael F. Hagan

The effect of external fluctuations on the formation of spatial patterns is analysed by means of a stochastic Swift-Hohenberg model with multiplicative space-correlated noise. Numerical simulations in two dimensions show a shift of the…

Condensed Matter · Physics 2009-10-28 J. Garcia-Ojalvo , J. M. Sancho

We illustrate a counter-intuitive effect of an additive stochastic force, which acts independently on each element of an ensemble of globally coupled oscillators. We show numerically and semi-analytically that a very small white noise is…

Adaptation and Self-Organizing Systems · Physics 2017-06-27 Pau Clusella , Antonio Politi

Meso-scale turbulence was originally observed experimentally in various suspensions of swimming bacteria, as well as in the collective motion of active colloids. The corresponding large-scale dynamical patterns were reproduced in a simple…

Soft Condensed Matter · Physics 2021-03-30 Vasco M. Worlitzer , Gil Ariel , Avraham Be'er , Holger Stark , Markus Bär , Sebastian Heidenreich

We consider a moving target and an active pursing agent, modeled as an intelligent active Brownian particle capable of sensing the instantaneous target location and adjust its direction of motion accordingly. An analytical and simulation…

Soft Condensed Matter · Physics 2024-06-04 Segun Goh , Roland G. Winkler , Gerhard Gompper

We analyze the noise induced synchronization between a collective variable characterizing a complex system with a finite number of interacting bistable units and time periodic driving forces. A random phase process associated to the…

Statistical Mechanics · Physics 2009-11-13 José M. Casado , José Gómez-Ordóñez , Manuel Morillo

We consider the effect of geometric confinement on the steady-state properties of a one-dimensional active suspension subject to thermal noise. The random active force is modeled by an Ornstein-Uhlenbeck process and the system is studied…

Statistical Mechanics · Physics 2018-12-11 Lorenzo Caprini , Umberto Marini Bettolo Marconi

We present a comprehensive computational study of the collective behavior emerging from the competition between self-propulsion, excluded volume interactions and velocity-alignment in a two-dimensionnal model of active particles. We…

Soft Condensed Matter · Physics 2018-01-08 Aitor Martín-Gómez , Demian Levis , Albert Díaz-Guilera , Ignacio Pagonabarraga

We consider the effect of introducing a small number of non-aligning agents in a well-formed flock. To this end, we modify a minimal model of active Brownian particles with purely repulsive (excluded volume) forces to introduce an alignment…

Statistical Mechanics · Physics 2017-10-27 D. Yllanes , M. Leoni , M. C. Marchetti

We study a system of self-propelled particles whose alignment with neighbors depends on the degree of local alignment. We show that such a local conformity interaction naturally yields a Vicsek-type model with pairwise and three-body…

Statistical Mechanics · Physics 2025-12-23 Iván León , Riccardo Muolo , Hiroya Nakao , Keisuke Taga

Nonlinear instabilities are responsible for spontaneous pattern formation in a vast number of natural and engineered systems ranging from biology to galaxies build-up. We propose a new instability mechanism leading to pattern formation in…

Pattern Formation and Solitons · Physics 2016-01-20 A. M. Perego , N. Tarasov , D. V. Churkin , S. K. Turitsyn , K. Staliunas

Fluctuations play a central role in many fields of physics, from quantum electrodynamics to statistical mechanics. In active matter physics, most models focus on thermal fluctuations due to a surrounding solvent. An alternative but much…

Soft Condensed Matter · Physics 2025-04-17 Sebastian Fehlinger , Kai Cui , Arooj Sajjad , Heinz Koeppl , Benno Liebchen