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We consider finite systems of interacting Brownian particles including active friction in the framework of nonlinear dynamics and statistical/stochastic theory. First we study the statistical properties for $1-d$ systems of masses connected…

Statistical Mechanics · Physics 2007-05-23 Werner Ebeling

When particles move at a constant speed and have the tendency to align their directions of motion, ordered large scale movement can emerge despite significant levels of noise. Many variants of this model of self-propelled particles have…

Biological Physics · Physics 2012-12-11 Matthias Meschede , Oskar Hallatschek

The flocking of self-propelled particles in heterogeneous environments is relevant to both natural and artificial systems. The Vicsek model is a canonical choice to investigate such systems due to the minimal number of parameters required…

Computational Physics · Physics 2024-12-11 Eighdi Aung , Nicole Abaid , James E. McClure

We first present a new stochastic version of the Cucker-Smale model of the emergent behavior in flocks in which the mutual communication between individuals is affected by random factor. Then, the existence and uniqueness of global solution…

Probability · Mathematics 2015-08-28 Ta Viet Ton , Nguyen Thi Hoai Linh , Atsushi Yagi

Recent studies suggest that non-cooperative behavior such as cannibalism may also be a driving mechanism of collective motion. Motivated by these novel results we introduce a simple model of Brownian particles interacting by pursuit and…

Statistical Mechanics · Physics 2009-11-13 Pawel Romanczuk , Iain D. Couzin , Lutz Schimansky-Geier

We numerically examine a bidisperse system of active and passive particles coupled to a resource substrate. The active particles deplete the resource at a fixed rate and move toward regions with higher resources, while all of the particles…

Soft Condensed Matter · Physics 2024-04-23 L. Varga , A. Libal , C. Reichhardt , C. J. O. Reichhardt

An important and incompletely answered question is whether a closed quantum system of many interacting particles can be localized by disorder. The time evolution of simple (unentangled) initial states is studied numerically for a system of…

Strongly Correlated Electrons · Physics 2012-07-11 Jens H. Bardarson , Frank Pollmann , Joel E. Moore

From bird flocks to fish schools, animal groups often seem to react to environmental perturbations as if of one mind. Most studies in collective animal behaviour have aimed to understand how a globally ordered state may emerge from simple…

Populations and Evolution · Quantitative Biology 2014-10-10 Andrea Cavagna , Alessio Cimarelli , Irene Giardina , Giorgio Parisi , Raffaele Santagati , Fabio Stefanini , Massimiliano Viale

A time-delayed response of individual living organisms to information exchanged within flocks or swarms leads to the emergence of complex collective behaviors. A recent experimental setup by (Khadka et al 2018 Nat. Commun. 9 3864),…

Statistical Mechanics · Physics 2019-09-30 Daniel Geiss , Klaus Kroy , Viktor Holubec

A collection of rings made of active Brownian particles (ABPs) for different packing fractions and activities is investigated using computer simulations. We show that active rings display an emergent dynamic clustering instead of the…

Soft Condensed Matter · Physics 2024-02-27 Ligesh Theeyancheri , Subhasish Chaki , Tapomoy Bhattacharjee , Rajarshi Chakrabarti

We study a system of active particles with soft repulsive interactions that lead to an active cluster-crystal phase in two dimensions. We use two different modelizations of the active force - Active Brownian particles (ABP) and…

In equilibrium, colloidal suspensions governed by short-range attractive and long-range repulsive interactions form thermodynamically stable clusters. Using Brownian dynamics computer simulations, we investigate how this equilibrium…

Soft Condensed Matter · Physics 2015-09-30 Ethayaraja Mani , Hartmut Löwen

A large class of mesoscopic or macroscopic flocking theories are coarse-grained from microscopic models that feature binary interactions as the chief aligning mechanism. However while such theories seemingly predict the existence of polar…

Soft Condensed Matter · Physics 2019-11-06 Purba Chatterjee , Nigel Goldenfeld

Fish, birds, insects and robots frequently swim or fly in groups. During their 3 dimensional collective motion, these agents do not stop, they avoid collisions by strong short-range repulsion, and achieve group cohesion by weak long-range…

Soft Condensed Matter · Physics 2018-07-04 Illes J. Farkas , Shuo-Hong Wang

We computationally study suspensions of slow and fast active Brownian particles that have undergone motility induced phase separation and are at steady state. Such mixtures, of varying non-zero activity, remain largely unexplored even…

Soft Condensed Matter · Physics 2024-07-11 Nicholas J Lauersdorf , Ehssan Nazockdast , Daphne Klotsa

Flocking is a fascinating phenomenon observed across a wide range of living organisms. We investigate, based on a simple self-propelled particle model, how the emergence of ordered motion in a collectively moving group is influenced by the…

Biological Physics · Physics 2024-06-04 Vijay Kumar , Rumi De

Coherent collective motion is a widely observed phenomenon in active matter systems. Here, we report a flocking transition mechanism in a system of chemically interacting active colloidal particles sustained purely by chemo-repulsive…

Soft Condensed Matter · Physics 2025-11-04 Arvin Gopal Subramaniam , Sagarika Adhikary , Rajesh Singh

We study the dynamical steady-states of a monolayer of chemically active self-phoretic colloids as a function of packing fraction and self-propulsion speed by means of Brownian dynamics simulations. We focus on the case that a chemical…

Soft Condensed Matter · Physics 2022-03-11 Federico Fadda , D. A. Matoz-Fernandez , René van Roij , Sara Jabbari-Farouji

The collective motion of epithelial cells is a fundamental biological process which plays a significant role in embryogenesis, wound healing and tumor metastasis. While it has been broadly investigated for over a decade both in vivo and in…

We study flocking in one dimension, introducing a lattice model in which particles can move either left or right. We find that the model exhibits a continuous nonequilibrium phase transition from a condensed phase, in which a single `flock'…

Statistical Mechanics · Physics 2009-10-31 O. J. O'Loan , M. R. Evans
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