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We consider a three dimensional system consisting of a large number of small spherical particles, distributed in a range of sizes and heights (with uniform distribution in the horizontal direction). Particles move vertically at a…

Statistical Mechanics · Physics 2007-12-05 P. Horvai , S. V. Nazarenko , T. H. M. Stein

This paper is concerned with the derivation and analysis of hydrodynamic models for systems of self-propelled particles subject to alignment interaction and attraction-repulsion. The starting point is the kinetic model considered in earlier…

Fluid Dynamics · Physics 2014-04-08 Pierre Degond , Jian-Guo Liu , Sébastien Motsch , Vladislav Panferov

Reducing the number of contacts between passengers on an airplane can potentially curb the spread of infectious diseases. In this paper, a social force based pedestrian movement model is formulated and applied to evaluate the movement and…

Physics and Society · Physics 2016-09-21 S. Namilae , A. Srinivasan , A. Mubayi , M. Scotch , R. Pahle

We study numerically the phases and dynamics of a dense collection of self-propelled particles with soft repulsive interactions in two dimensions. The model is motivated by recent in vitro experiments on confluent monolayers of migratory…

Soft Condensed Matter · Physics 2015-05-28 Silke Henkes , Yaouen Fily , M. Cristina Marchetti

We consider an interacting particle system proposed in the literature to model fish behavior. In this model, the agents move at constant speed and control the curvature of their trajectory (i.e. the time-derivative of their velocity) so as…

Analysis of PDEs · Mathematics 2025-12-03 Pierre Degond , Antoine Diez , Amic Frouvelle

We simulate a model of self-propelled disks with soft repulsive interactions confined to a box in two dimensions. For small rotational diffusion rates, monodisperse disks spontaneously accumulate at the walls. At low densities, interaction…

Soft Condensed Matter · Physics 2014-03-05 Xingbo Yang , M. Lisa Manning , M. Cristina Marchetti

The structural and dynamical properties of suspensions of self-propelled Brownian particles of spherical shape are investigated in three spatial dimensions. Our simulations reveal a phase separation into a dilute and a dense phase, above a…

Soft Condensed Matter · Physics 2015-05-12 Adam Wysocki , Roland G. Winkler , Gerhard Gompper

Deformable self-propelled particles provide us with one of the most important nonlinear dissipative systems, which are related, for example, to the motion of microorganisms. It is emphasized that this is a subject of localized objects in…

Soft Condensed Matter · Physics 2015-06-17 M. Tarama , Y. Itino , A. M. Menzel , T. Ohta

The dynamics of self-propelled colloidal particles are strongly influenced by their environment through hydrodynamic and, in many cases, chemical interactions. We develop a theoretical framework to describe the motion of confined active…

Fluid Dynamics · Physics 2025-08-29 Günther Turk , Rajesh Singh , Howard A. Stone

We study a biologically inspired, inherently non-equilibrium model consisting of self-propelled particles. In the model, particles move on a plane with a velocity of constant magnitude; they locally interact with their neighbors by choosing…

Statistical Mechanics · Physics 2007-05-23 Andras Czirok , H. Eugene Stanley , Tamas Vicsek

We expand on a recent study of a lattice model of interacting particles [Phys. Rev. Lett. 111, 110601 (2013)]. The adsorption isotherm and equilibrium fluctuations in particle number are discussed as a function of the interaction. Their…

Statistical Mechanics · Physics 2014-11-20 T. Becker , K. Nelissen , B. Cleuren , B. Partoens , C. Van den Broeck

Self-alignment describes the property of a polar active unit to align or anti-align its orientation towards its velocity. In contrast to mutual alignment, where the headings of multiple active units tend to directly align to each other --…

Soft Condensed Matter · Physics 2025-12-15 Paul Baconnier , Olivier Dauchot , Vincent Démery , Gustavo Düring , Silke Henkes , Cristián Huepe , Amir Shee

Molecular dynamics simulations of interacting soft disks confined in a heterogeneous quenched matrix of soft obstacles show dynamics which is fundamentally different from that of hard disks. The interactions between the disks can enhance…

Soft Condensed Matter · Physics 2018-02-21 Simon Kaspar Schnyder , Jürgen Horbach

We consider the macroscopic model derived by Degond and Motsch from a time-continuous version of the Vicsek model, describing the interaction orientation in a large number of self-propelled particles. In this article, we study the influence…

Mathematical Physics · Physics 2013-01-18 Amic Frouvelle

Camphor is a well-studied material capable of generating self-propelled motion at a water surface, and the resulting dynamics can exhibit a wide range of behaviors. Here, we analyze a one-dimensional model describing a mobile camphor disk…

Adaptation and Self-Organizing Systems · Physics 2026-03-12 Yuki Koyano , Jerzy Górecki , Hiroyuki Kitahata

We model and study the patterns created through the interaction of collectively moving self-propelled particles (SPPs) and elastically tethered obstacles. Simulations of an individual-based model reveal at least three distinct large-scale…

We have proposed a method for the dynamic simulation of a collection of self-propelled particles in a viscous Newtonian fluid. We restrict attention to particles whose size and velocity are small enough that the fluid motion is in the…

Soft Condensed Matter · Physics 2015-05-13 Vishwajeet Mehandia , Prabhu R. Nott

We explore the dynamical evolution of a planet embedded in a disk surrounding a star part of a binary system where the orbital plane of the binary is significantly tilted respect to the initial disk plane. Our aim is to test whether the…

Earth and Planetary Astrophysics · Physics 2015-11-11 Giovanni Picogna , Francesco Marzari

With the aim of understanding the emergence of collective motion from local interactions of organisms in a "noisy" environment, we study biologically inspired, inherently non-equilibrium models consisting of self-propelled particles. In…

Biological Physics · Physics 2009-10-31 A. Czirok , T. Vicsek

The diffusion of active microscopic organisms in complex environments plays an important role in a wide range of biological phenomena from cell colony growth to single organism transport. Here, we investigate theoretically and…

Fluid Dynamics · Physics 2018-01-16 Juan L. Aragones , Shahrzad Yazdi , Alfredo Alexander-Katz