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Related papers: A PDE Model for Janus Particle Swarming

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Magnetic Janus particles allow access to complex, nonlinear assembled structures that may enable interesting new magnetorheological (MR) fluids with uniquely engineered field responses. However, the overwhelming size of the parameter space…

Soft Condensed Matter · Physics 2026-01-06 Eric A. McPherson , Kenneth Kroenlein , Ilona Kretzschmar

We use computer simulations to study the onset of collective motion in systems of interacting active particles. Our model is a swarm of active Brownian particles with internal energy depot and interactions inspired by the dissipative…

Statistical Mechanics · Physics 2013-05-31 Vladimir Lobaskin , Maksym Romenskyy

This work proposes stochastic partial differential equations (SPDEs) as a practical tool to replicate clustering effects of more detailed particle-based dynamics. Inspired by membrane-mediated receptor dynamics on cell surfaces, we…

Quantitative Methods · Quantitative Biology 2025-01-22 Nathalie Wehlitz , Mohsen Sadeghi , Alberto Montefusco , Christof Schütte , Grigorios A. Pavliotis , Stefanie Winkelmann

Self-propelled particles that are subject to noise are a well-established generic model system for active matter. A homogeneous alignment field can be used to orient the direction of the self-propulsion velocity and to model systems like…

Statistical Mechanics · Physics 2024-03-06 Sameh Othman , Jiarul Midya , Thorsten Auth , Gerhard Gompper

We introduce a model of self-propelled particles carrying out a Brownian motion with a diffusion coefficient which depends on the local density of particles within a certain finite radius. Numerical simulations show that in a range of…

Statistical Mechanics · Physics 2009-11-11 Cristobal Lopez

A trapping mechanism for propelled colloidal particles based on an inhomogeneous drive is presented and studied by means of computer simulations. In experiments this method can be realized using photophoretic Janus particles driven by a…

Computational Physics · Physics 2015-07-21 Martin P. Magiera , Lothar Brendel

We study experimentally-using Janus colloids-and theoretically-using Active Brownian Particles- the sedimentation of dilute active colloids. We first confirm the existence of an exponential density profile. We show experimentally the…

Soft Condensed Matter · Physics 2018-11-14 Felix Ginot , Alexandre Solon , Yariv Kafri , Christophe Ybert , Julien Tailleur , Cecile Cottin-Bizonne

We study the collective motion of Janus particles in a temperature or concentration gradient. Because of the torque exerted by an external or self-generated field, the particles align their axis on this gradient. In a swarm of self-driven…

Soft Condensed Matter · Physics 2014-05-15 Thomas Bickel , Guillermo Zecua , Alois Würger

Spatial reaction-diffusion models have been employed to describe many emergent phenomena in biological systems. The modelling technique most commonly adopted in the literature implements systems of partial differential equations (PDEs),…

Quantitative Methods · Quantitative Biology 2015-10-05 Christian A. Yates , Mark B. Flegg

The co-localization of density modulations and particle polarization is a characteristic emergent feature of motile active matter in activity gradients. It can therefore play the role of a smoking gun for the mesoscale detection of…

Soft Condensed Matter · Physics 2021-06-09 Sven Auschra , Viktor Holubec , Nicola Andreas Söker , Frank Cichos , Klaus Kroy

We introduce and analyse a continuum model for an interacting particle system of Vicsek type. The model is given by a non-linear kinetic partial differential equation (PDE) describing the time-evolution of the density $f_t$, in the single…

Mathematical Physics · Physics 2022-04-11 Paolo Buttà , Franco Flandoli , Michela Ottobre , Boguslaw Zegarlinski

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 investigate the collective motion of self-propelled agents in an environment filled with obstacles that are tethered to fixed positions via springs. The active particles are able to modify the environment by moving the obstacles through…

Mathematical Physics · Physics 2023-01-24 Pierre Degond , Angelika Manhart , Sara Merino-Aceituno , Diane Peurichard , Lorenzo Sala

We demonstrate differential dynamic microscopy and particle tracking for the characterization of the spatiotemporal behavior of active Janus colloids in terms of the intermediate scattering function (ISF). We provide an analytical solution…

The complex interactions underlying collective motion in biological systems give rise to emergent behaviours such as flocking, sorting, and cooperative transport. These dynamics often involve species with different motilities coordinating…

Soft Condensed Matter · Physics 2025-06-19 Laura Alvarez , Elena Sesé-Sansa , Demian Levis , Ignacio Pagonabarraga , Lucio Isa

Experimental realizations of self-propelled colloidal Janus particles exploit the conversion of free energy into directed motion. One route are phoretic mechanisms that can be modeled schematically as the interconversion of two chemical…

Statistical Mechanics · Physics 2019-09-04 Thomas Speck

We investigate an interacting particle model to simulate a foraging colony of ants, where each ant is represented as an active Brownian particle. The interactions among ants are mediated through chemotaxis, aligning their orientations with…

Analysis of PDEs · Mathematics 2024-09-10 Maria Bruna , Martin Burger , Oscar de Wit

We present a swarm model of Brownian particles with harmonic interactions, where the individuals undergo canonical active Brownian motion, i.e. each Brownian particle can convert internal energy to mechanical energy of motion. We assume the…

Statistical Mechanics · Physics 2011-08-11 Alexander Gluck , Helmuth Huffel , Sasa Ilijic

We study experimentally and numerically a (quasi) two dimensional colloidal suspension of self-propelled spherical particles. The particles are carbon-coated Janus particles, which are propelled due to diffusiophoresis in a near-critical…

Soft Condensed Matter · Physics 2013-06-10 Ivo Buttinoni , Julian Bialké , Felix Kümmel , Hartmut Löwen , Clemens Bechinger , Thomas Speck

Active matter deals with systems whose particles consume energy at the individual level in order to move. To unravel features such as the emergence of collective structures several models have been suggested, such as the on-lattice model of…

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