English
Related papers

Related papers: A multi-layer model for self-propelled disks inter…

200 papers

A microscopic, stochastic, minimal model for collective and cohesive motion of identical self-propelled particles is introduced. Even though the particles interact strictly locally in a very noisy manner, we show that cohesion can be…

Statistical Mechanics · Physics 2010-01-05 Guillaume Gregoire , Hugues Chate , Yuhai Tu

Motivated by recent experiments on colloidal suspensions, we study analytically and numerically a microscopic model for self-propelled particles lacking alignment interactions. In this model, even for purely repulsive interactions, a…

Soft Condensed Matter · Physics 2013-09-10 Julian Bialké , Hartmut Löwen , Thomas Speck

We study a set of models of self-propelled particles that achieve collective motion through similar alignment-based dynamics, considering versions with and without repulsive interactions that do not affect the heading directions. We explore…

Soft Condensed Matter · Physics 2021-10-27 Yinong Zhao , Thomas Ihle , Zhangang Han , Cristián Huepe , Pawel Romanczuk

We introduce a kinetic Monte-Carlo model for self-propelled hard disks to capture with minimal ingredients the interplay between thermal fluctuations, excluded volume and self-propulsion in large assemblies of active particles. We analyze…

Soft Condensed Matter · Physics 2014-07-16 Demian Levis , Ludovic Berthier

In this work we derive and analyze coarse-grained descriptions of self-propelled particles with selective attraction-repulsion interaction, where individuals may respond differently to their neighbours depending on their relative state of…

Soft Condensed Matter · Physics 2016-05-02 Robert Grossmann , Lutz Schimansky-Geier , Pawel Romanczuk

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 a hydrodynamic model of swarming behavior derived from the kinetic description of a particle system combining a noisy Cucker-Smale consensus force and self-propulsion. In the large self-propulsion force limit, we provide…

Analysis of PDEs · Mathematics 2012-07-10 Alethea B. T. Barbaro , Pierre Degond

Starting from a particle model describing self-propelled particles interacting through nematic alignment, we derive a macroscopic model for the particle density and mean direction of motion. We first propose a mean-field kinetic model of…

Mathematical Physics · Physics 2019-10-08 Pierre Degond , Sara Merino-Aceituno

Systems composed of strongly interacting self-propelled particles can form a spontaneously flowing polar active fluid. The study of the connection between the microscopic dynamics of a single such particle and the macroscopic dynamics of…

Soft Condensed Matter · Physics 2018-03-02 Benjamin Loewe , Anton Souslov , Paul M. Goldbart

We discuss biologically inspired, inherently non-equilibrium self-propelled particle models, in which the particles interact with their neighbours by choosing at each time step the local average direction of motion. We summarize some of the…

Statistical Mechanics · Physics 2007-05-23 Andras Czirok , Tamas Vicsek

Colloidal spheres with a partial platinum surface coating perform auto-phoretic motion when suspended in hydrogen peroxide solution. We present a theoretical analysis of the self-propulsion velocity of these particles using a continuum…

Soft Condensed Matter · Physics 2015-02-12 Joost de Graaf , Georg Rempfer , Christian Holm

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

When a floating body is internally or externally vibrated, its self-generated wavefield can lead to steady propulsion along the interface. In this article, we review several related and recently discovered systems that leverage this…

Fluid Dynamics · Physics 2025-09-09 Daniel M. Harris , Jack-William Barotta

The hydrodynamic interactions of a suspension of self-propelled particles are studied using a direct numerical simulation method which simultaneously solves for the host fluid and the swimming particles. A modified version of the "Smoothed…

Soft Condensed Matter · Physics 2013-01-15 John J. Molina , Yasuya Nakayama , Ryoichi Yamamoto

The goal of these lecture notes is to present in a unified way various models for the dynamics of aligning self-propelled rigid bodies at different scales and the links between them. The models and methods are inspired from [12,13], but, in…

Analysis of PDEs · Mathematics 2018-10-17 Pierre Degond , Amic Frouvelle , Sara Merino-Aceituno , Ariane Trescases

We study a system of self-propelled disks that perform run-and-tumble motion, where particles can adopt more than one internal state. One of those internal states can be transmitted to another particle if the particle carrying this state…

Biological Physics · Physics 2019-12-30 Fernando Peruani , Gustavo Sibona

The asymptotic analysis of kinetic models describing the behavior of particles interacting through alignment is performed. We will analyze the asymptotic regime corresponding to large alignment frequency where the alignment effects are…

Analysis of PDEs · Mathematics 2017-01-16 M. Bostan , J. A. Carrillo

We consider a partial differential equation model for the growth of heterogeneous cell populations subdivided into multiple distinct discrete phenotypes. In this model, cells preferentially move towards regions where they feel less…

Analysis of PDEs · Mathematics 2025-04-04 José A. Carrillo , Tommaso Lorenzi , Fiona R. Macfarlane

We classify the interactions between self-propelled particles moving at a constant speed from symmetry considerations. We establish a systematic expansion for the two-body forces in the spirit of a multipolar expansion. This formulation…

Soft Condensed Matter · Physics 2014-04-24 Jean-Baptiste Caussin , Denis Bartolo

We investigate the behavior of colloidal suspensions with different volume fractions confined between parallel walls under a range of steady shears. We model the particles using molecular dynamics (MD) with full hydrodynamic interactions…

Soft Condensed Matter · Physics 2014-09-18 Frances E. Mackay , Kyle Pastor , Mikko Karttunen , Colin Denniston