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This study investigates the use of global control strategies to enhance the directed migration of swarms of interacting self-propelled particles confined in a channel. Uncontrolled dynamics naturally leads to wall accumulation, clogging,…

Soft Condensed Matter · Physics 2025-12-03 Chiara Calascibetta , Laëtitia Giraldi , Jérémie Bec

We show that dispersion in propulsion strength qualitatively alters collective behavior of active multi-particle systems interacting via short-range attractive potential, giving rise to novel ordered phases that combine spatial and…

Statistical Mechanics · Physics 2026-01-07 Debraj Dutta , Urna Basu

Large collections of autonomously moving agents, such as animals or micro-organisms, are able to 'flock' coherently in space even in the absence of a central control mechanism. While the direction of the flock resulting from this critical…

Soft Condensed Matter · Physics 2016-09-15 D. J. G. Pearce , L. Giomi

We have considered a variation of the Vicsek model with vectorial noise where each one of the agents have their own noise amplitude normally distributed around a mean value, $\mu$, with standard deviation $\sigma$. First-order phase…

Soft Condensed Matter · Physics 2018-04-06 Leandro Guisandez , Gabriel Baglietto , Alejandro Rozenfeld

This paper focuses on the long-term behavior of solutions to nonlinear stochastic Fokker-Planck equations driven by common noise, where the drift term has a linear dependence on the measure. These equations, which describe the evolution of…

Analysis of PDEs · Mathematics 2025-03-07 Raphael Maillet

When a collection of phenotypically diverse organisms compete with each other for limited resources, with competition being strongest amongst the most similar, the population can evolve into tightly localised clusters. This process can be…

Populations and Evolution · Quantitative Biology 2012-05-16 Tim Rogers , Alan J. McKane , Axel G. Rossberg

We consider single particle and polymer translocation where the frictional properties experienced from the environment are changing in time. This work is motivated by the interesting frequency responsive behaviour observed when a polymer is…

Soft Condensed Matter · Physics 2012-12-06 Jack A. Cohen , Abhishek Chaudhuri , Ramin Golestanian

In this work we study the stochastic process of two-species coagulation. This process consists in the aggregation dynamics taking place in a ring. Particles and clusters of particles are set in this ring and they can move either clockwise…

Analysis of PDEs · Mathematics 2014-04-22 Carlos Escudero , Fabricio Macia , Raul Toral , Juan J. L. Velazquez

The Vicsek-BGK equation is a kinetic model for alignment of particles moving with constant speed between stochastic reorientation events with sampling from a von Mises distribution. The spatially homogeneous model shows a steady state…

Analysis of PDEs · Mathematics 2024-12-02 Sara Merino-Aceituno , Christian Schmeiser , Raphael Winter

We study well-posedness and long time behavior of the nonlinear Vlasov-Poisson- Fokker-Planck system with an external confining potential. The system describes the time evolution of particles (e.g.$\,\,$in a plasma) undergoing diffusion,…

Analysis of PDEs · Mathematics 2024-06-24 Gayrat Toshpulatov

We investigate dynamics of deformable self-propelled particles with a repulsive interaction whose magnitude depends on the relative direction of elongation of a pair of particles. A collective motion of the particles appears in two…

Soft Condensed Matter · Physics 2015-05-27 Yu Itino , Takahiro Ohkuma , Takao Ohta

Mutually repelling particles form spontaneously ordered clusters when forced into confinement. The clusters may adopt similar spatial arrangements even if the underlying particle interactions are contrastingly different. Here we demonstrate…

Soft Condensed Matter · Physics 2026-02-13 P. D. S. de Lima , R. De La Cour , K. Gaff , J. M. de Araújo , S. J. Cox , M. S. Ferreira , S. Hutzler

We investigate the linearized hydrodynamic equations of interacting self-propelled particles in two dimensional space. It is found that the small perturbations of density and polarization fields satisfy the hyperbolic partial differential…

Biological Physics · Physics 2019-01-01 Waipot Ngamsaad , Suthep Suantai

Flocking and vortical are two typical motion modes in active matter. Although it is known that the two modes can spontaneously switch between each other in a finite-size system, the switching dynamics remain elusive. In this work, by…

Soft Condensed Matter · Physics 2024-08-20 Bing Yang , Yanting Wang

We investigate the collective dynamics of self-propelled particles able to probe and anticipate the orientation of their neighbors. We show that a simple anticipation strategy hinders the emergence of homogeneous flocking patterns. Yet,…

Statistical Mechanics · Physics 2015-06-23 Alexandre Morin , Jean-Baptiste Caussin , Christophe Eloy , Denis Bartolo

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 the stability of the ordered phase of compressible polar flocks against the nucleation of counter-propagating droplets, using a combination of analytical theory, microscopic and hydrodynamic simulations. For discrete-symmetry…

Soft Condensed Matter · Physics 2026-02-20 Omer Granek , Hugues Chaté , Yariv Kafri , Sunghan Ro , Alexandre Solon , Julien Tailleur

Coordinated collective motion in bird flocks and fish schools inspires algorithms for cohesive swarm robotics. This paper presents a position-based flocking model that achieves persistent velocity alignment without velocity sensing. By…

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

The Vicsek model (Vicsek et al. 1995) is a very popular minimalist model to study active matter with a number of applications to biological systems at different length scales. With its off-lattice implementation and periodic boundary…

Statistical Mechanics · Physics 2022-03-07 Andreas Kuhn , Sabine C. Fischer
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