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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 present an individual-based model describing disk-like self-propelled particles moving inside parallel planes. The disk directions of motion follow alignment rules inside each layer. Additionally, the disks are subject to interactions…

Adaptation and Self-Organizing Systems · Physics 2015-02-23 Pierre Degond , Laurent Navoret

We consider a mathematical model for a two-particle system driven by the spatial gradient of a concentration field of chemicals with conservative attractive interactions in one dimension. This setup corresponds to an experimental system…

Pattern Formation and Solitons · Physics 2022-11-24 Yuhei Hirose , Yusuke Yasugahira , Mamoru Okamoto , Yuki Koyano , Hiroyuki Kitahata , Masaharu Nagayama , Yutaka Sumino

A simple model for simulating flows of active suspensions is investigated. The approach is based on dissipative particle dynamics. While the model is potentially applicable to a wide range of self-propelled particle systems, the specific…

Fluid Dynamics · Physics 2015-10-08 Denis F. Hinz , Alexander Panchenko , Tae-Yeon Kim , Eliot Fried

We study numerically and analytically a model of self-propelled polar disks on a substrate in two dimensions. The particles interact via isotropic repulsive forces and are subject to rotational noise, but there is no aligning interaction.…

Soft Condensed Matter · Physics 2014-02-24 Yaouen Fily , M. Cristina Marchetti

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

The motion of several self-propelled boats in a narrow channel displays spontaneous pattern formation and kinetic phase transitions. In contrast with previous studies on self-propelled particles, this model does not require stochastic…

Statistical Mechanics · Physics 2012-06-13 Eric Heisler , Nobuhiko J. Suematsu , Akinori Awazu , Hiraku Nishimori

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

Self-propelled particles can navigate complex environments, including viscous fluid interfaces with curved geometries. In this work, we study the emergent dynamics of a suspension of self-propelled particles confined to a stationary curved…

Fluid Dynamics · Physics 2026-04-17 Yuzhu Chen , Vishal P. Patil , David Saintillan

We formulate theoretical modeling approaches and develop practical computational simulation methods for investigating the non-equilibrium statistical mechanics of fluid interfaces with passive and active immersed particles. Our approaches…

Soft Condensed Matter · Physics 2024-10-03 Dev Jasuja , Paul J. Atzberger

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

We consider systems of interacting particles which are described by a second order Langevin equation. The class of equations considered includes the situation where the particle evolution is governed by Hamiltonian dynamics with additional…

Analysis of PDEs · Mathematics 2025-07-29 Fenna Müller , Max von Renesse , Johannes Zimmer

A self-propelled motion resulting from the dissipation of camphor molecules on the water surface has been attracting scientific attention for more than 200 years. A generally accepted description of the phenomenon includes equations for the…

Soft Condensed Matter · Physics 2025-05-14 Jerzy Gorecki , Yuki Koyano , Hiroyuki Kitahata

Active matter systems, due to their spontaneous self-propulsion ability, hold potential for future applications in healthcare and environmental sustainability. Marangoni swimmers, a type of synthetic active matter, are a common model system…

Soft Condensed Matter · Physics 2025-08-22 Abhradeep Maitra , Anupam Pandey , Sebastien Michelin , Sunghwan Jung

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

We study a system of self-propelled particles which interact with their neighbors via alignment and repulsion. The particle velocities result from self-propulsion and repulsion by close neighbors. The direction of self-propulsion is…

Mathematical Physics · Physics 2014-04-22 Pierre Degond , Giacomo Dimarco , Thi Bich Ngoc Mac , Nan Wang

We derive macroscopic dynamics for self-propelled particles in a fluid. The starting point is a coupled Vicsek-Stokes system. The Vicsek model describes self-propelled agents interacting through alignment. It provides a phenomenological…

Fluid Dynamics · Physics 2017-06-20 Pierre Degond , Sara Merino-Aceituno , Fabien Vergnet , Hui Yu

Active particle systems of interacting self-propelled particles offer a versatile framework for modeling complex systems. When employed to describe aspects of animal behavior, the complexity of animal movement and decision-making often…

Biological Physics · Physics 2025-01-09 Amir Haluts , Dan Gorbonos , Nir S. Gov

We investigate systems of self-propelled particles with alignment interaction. Compared to previous work, the force acting on the particles is not normalized and this modification gives rise to phase transitions from disordered states at…

Mathematical Physics · Physics 2014-09-25 Pierre Degond , Amic Frouvelle , Jian-Guo Liu

We consider a continuum model for the dynamics of systems of self propelling particles with kinematic constraints on the velocities. The model aims to be analogous to a discrete algorithm used in works by T. Vicsek et al. In this paper we…

Fluid Dynamics · Physics 2009-12-16 V. I. Ratushnaya , V. L. Kulinskii , A. V. Zvelindovsky , D. Bedeaux
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