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Related papers: Keeping speed and distance for aligned motion

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We consider the collective behaviour of active particles that locally align with their neighbours. Agent-based simulation models have previously shown that in one dimension, these particles can form into a flock that maintains its stability…

Statistical Mechanics · Physics 2018-12-26 Eoin Ó Laighléis , Martin R. Evans , Richard A. Blythe

A model of self-driven particles similar to the Vicsek model [Phys. Rev. Lett. 75 (1995) 1226] but with metric-free interactions is studied by means of a novel Enskog-type kinetic theory. In this model, N particles of constant speed v0 try…

Statistical Mechanics · Physics 2012-08-21 Yen-Liang Chou , Rylan Wolfe , Thomas Ihle

We study the collective motion of a large set of self-propelled particles subject to voter-like interactions. Each particle moves on a two-dimensional space at a constant speed in a direction that is randomly assigned initially. Then, at…

Physics and Society · Physics 2019-04-12 Gabriel Baglietto , Federico Vazquez

We discuss the collective dynamics of self-propelled particles with selective attraction and repulsion interactions. Each particle, or individual, may respond differently to its neighbors depending on the sign of their relative velocity.…

Other Condensed Matter · Physics 2012-05-16 Pawel Romanczuk , Lutz Schimansky-Geier

We study a class of mass transport models where mass is transported in a preferred direction around a one-dimensional periodic lattice and is globally conserved. The model encompasses both discrete and continuous masses and parallel and…

Statistical Mechanics · Physics 2009-11-10 M. R. Evans , Satya N. Majumdar , R. K. P. Zia

The study of the movement of flocks, whether biological or technological is motivated by the desire to understand the capability of coherent motion of a large number of agents that only receive very limited information. In a biological…

Systems and Control · Computer Science 2018-10-30 J. J. P. Veerman

Animal groups frequently move in a highly organized manner, as represented by flocks of birds and schools of fish. Despite being an everyday occurrence, we do not yet fully understand how this works. What type of social interactions between…

Quantitative Methods · Quantitative Biology 2021-11-23 Daniel Strömbom , Tasnia Hassan , W. Hunter Greis , Alice Antia

Collective motion is found in various animal systems, active suspensions and robotic or virtual agents. This is often understood using high level models that directly encode selected empirical features, such as co-alignment and cohesion.…

Biological Physics · Physics 2019-07-19 Henry J. Charlesworth , Matthew S. Turner

Many biological processes are supported by special molecules, called motor proteins or molecular motors, that transport cellular cargoes along linear protein filaments and can reversibly associate to their tracks. Stimulated by these…

Statistical Mechanics · Physics 2021-11-17 Akriti Jindal , Anatoly B. Kolomeisky , Arvind Kumar Gupta

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

The well-known Cucker-Smale model is a macroscopic system reflecting flocking, i.e. the alignment of velocities in a group of autonomous agents having mutual interactions. In the present paper, we consider the mean-field limit of that…

Optimization and Control · Mathematics 2014-11-19 Benedetto Piccoli , Francesco Rossi , Emmanuel Trélat

We study an agent-based model of self-propelled particles with a velocity-dependent alignment rule. This interaction is orientation weighted and acts along the line connecting neighboring particles. Tuning the alignment strength produces…

Soft Condensed Matter · Physics 2026-05-19 Bohdan Dobosh , Alexander Yakimenko

We develop two statistical models for space-time abundance data based on a stochastic underlying continuous individual movement. In contrast to current models for abundance in statistical ecology, our models exploit the explicit connection…

Applications · Statistics 2024-09-24 Ricardo Carrizo Vergara , Marc Kéry , Trevor Hefley

This paper considers a discrete time swarm model of a group of mobile autonomous agents with a simple attraction and repulsion function for swarm aggregation and investigates its stability properties. In particular, it is proved that the…

Optimization and Control · Mathematics 2007-05-23 Long Wang

Flocking, as paradigmatically exemplified by birds, is the coherent collective motion of active agents. As originally conceived, flocking emerges through alignment interactions between the agents. Here, we report that flocking can also…

Soft Condensed Matter · Physics 2024-07-16 Suchismita Das , Matteo Ciarchi , Ziqi Zhou , Jing Yan , Jie Zhang , Ricard Alert

Cooperative transport is a striking phenomenon where multiple agents join forces to transit a payload too heavy for the individual. While social animals such as ants are routinely observed to coordinate transport at scale, reproducing the…

We present a general framework for modeling a wide selection of flocking scenarios under free boundary conditions. Several variants have been considered - including examples for the widely observed behavior of hierarchically interacting…

Physics and Society · Physics 2019-04-23 Yongnan Jia , Tamas Vicsek

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 investigate a discrete model consisting of self-propelled particles that obey simple interaction rules. We show that this model can self-organize and exhibit coherent localized solutions in one- and in two-dimensions.In one-dimension,…

Soft Condensed Matter · Physics 2009-10-31 Herbert Levine , Wouter-Jan Rappel , Inon Cohen

Asymmetric obstacles can be exploited to direct the motion and induce sorting of run-and-tumbling particles. In this work, we show that flocking particles which follow the Vicsek model aligning rules experience a collective trapping in the…

Soft Condensed Matter · Physics 2019-12-02 Raul Martinez , Francisco Alarcon , Juan Luis Aragones , Chantal Valeriani