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Active Brownian particles (ABPs) function as self-driving agents that display non-equilibrium behavior through their pairwise interactions which lead to phase separation and vortex patterns in both soft matter and living systems. A…

Soft Condensed Matter · Physics 2025-09-09 Sadra Saremi , Amirhossein Ahmadkhan Kordbacheh

The pressure exerted on a wall by a gas at equilibrium does not depend on the shape of the confining potential defining the wall. In contrast, it has been shown recently [A.P. Solon et al., Nat. Phys. 11, 673 (2015)] that a gas of…

Soft Condensed Matter · Physics 2016-03-11 Marc Joyeux , Eric Bertin

We report an approach to obtain effective pair potentials which describe the structure of two-dimensional systems of active Brownian particles. The pair potential is found by an inverse method, which matches the radial distribution function…

We experimentally study the mechanical pressure exerted by a set of respectively passive isotropic and self-propelled polar disks onto two different flexible unidimensional membranes. In the case of the isotropic disks, the mechanical…

Soft Condensed Matter · Physics 2017-07-19 G. Junot , G. Briand , R. Ledesma-Alonso , O. Dauchot

Motility-induced phase separation (MIPS) arises generically in fluids of self-propelled particles when interactions lead to a kinetic slowdown at high densities. Starting from a continuum description of scalar active matter, akin to a…

Statistical Mechanics · Physics 2018-02-28 Alexandre P. Solon , Joakim Stenhammar , Michael E. Cates , Yariv Kafri , Julien Tailleur

In a system of Self-Propelled Particles (SPPs), the combination of self-propulsion and excluded volume effects can result in a phase separation called Motility-Induced Phase Separation (MIPS). Previous studies reported that MIPS is one of…

Soft Condensed Matter · Physics 2025-07-03 Hiroya Yamamoto

We develop a kinetic theory of Brownian particles with long and short range interactions. We consider both overdamped and inertial models. In the overdamped limit, the evolution of the spatial density is governed by the generalized mean…

Statistical Mechanics · Physics 2015-05-19 Pierre-Henri Chavanis

We investigate a two-dimensional system of active particles confined to a narrow annular domain. Despite the absence of explicit interactions among the velocities or the active forces of different particles, the system displays a transition…

Statistical Mechanics · Physics 2022-03-15 Lorenzo Caprini , Claudio Maggi , Umberto Marini Bettolo Marconi

We consider a gas of independent Brownian particles on a bounded interval in contact with two particle reservoirs at the endpoints. Due to the Brownian nature of the particles, infinitely many particles enter and leave the system in each…

Probability · Mathematics 2019-07-25 Lorenzo Bertini , Gustavo Posta

A quantitative analysis is presented for the stochastic interactions of a pair of Brownian hard spheres in non-adsorbing polymer solutions. The hard spheres are hypothetically trapped by optical tweezers and allowed for random motion near…

Soft Condensed Matter · Physics 2015-06-18 Mehdi Karzar-Jeddi , Remco Tuinier , Takashi Taniguchi , Tai-Hsi Fan

Accumulation at boundaries represents a widely observed phenomenon in active systems with implications for microbial ecology and engineering applications. To rationalize the underlying physics, we provide analytical predictions for the…

Statistical Mechanics · Physics 2026-03-13 Yanis Baouche , Mathis Guéneau , Christina Kurzthaler

We consider a system of independent point-like particles performing a Brownian motion while interacting with a Gaussian fluctuating background. These particles are in addition endowed with a discrete two-state internal degree of freedom…

Soft Condensed Matter · Physics 2020-02-12 Ruben Zakine , Jean-Baptiste Fournier , Frédéric van Wijland

We review theoretical models of individual motility as well as collective dynamics and pattern formation of active particles. We focus on simple models of active dynamics with a particular emphasis on nonlinear and stochastic dynamics of…

Other Condensed Matter · Physics 2015-06-04 Pawel Romanczuk , Markus Bär , Werner Ebeling , Benjamin Lindner , Lutz Schimansky-Geier

The Active Brownian Particle (ABP) model exemplifies a wide class of active matter particles. In this work, we demonstrate how this model can be cast into a field theory in both two and three dimensions. Our aim is manifold: we wish both to…

Soft Condensed Matter · Physics 2022-12-26 Ziluo Zhang , Lili Fehértói-Nagy , Maria Polackova , Gunnar Pruessner

We investigate the structural and dynamic properties of active Brownian particles (APs) confined within a soft annulus-shaped channel. Depending on the strength of the confinement and the P\'eclet number, we observe a novel re-entrant…

Soft Condensed Matter · Physics 2025-05-15 Timo Knippenberg , Ashreya Jayaram , Thomas Speck , Clemens Bechinger

We study a system of active particles with soft repulsive interactions that lead to an active cluster-crystal phase in two dimensions. We use two different modelizations of the active force - Active Brownian particles (ABP) and…

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

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 study structural relaxation of colloidal hard spheres undergoing Brownian motion using dynamical density functional theory. Contrary to the partial linearization route [Stopper {\em et al.}, Phys. Rev. E {\bf 92}, 022151 (2015)] which…

Soft Condensed Matter · Physics 2018-01-16 Daniel Stopper , Roland Roth , Hendrik Hansen-Goos

The conformational and dynamical properties of active self-propelled filaments/polymers are investigated in the presence of hydrodynamic interactions by both, Brownian dynamics simulations and analytical theory. Numerically, a discrete…

Soft Condensed Matter · Physics 2020-08-04 Aitor Martin-Gomez , Thomas Eisenstecken , Gerhard Gompper , Roland G. Winkler