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Active particles, which are self-propelled nonequilibrium systems, are modelled by overdamped Langevin equations with colored noise, emulating the self-propulsion. In this chapter, we present a review of the theoretical results for the…

Statistical Mechanics · Physics 2025-03-12 Urna Basu , Sanjib Sabhapandit , Ion Santra

Single-file diffusion behaves as normal diffusion at small time and as anomalous subdiffusion at large time. These properties can be described by fractional Brownian motion with variable Hurst exponent or multifractional Brownian motion. We…

Statistical Mechanics · Physics 2015-05-13 S. C. Lim , L. P. Teo

We derive equations of motion for the mean-squared displacement (MSD) of an active Brownian particle (ABP) in a crowded environment modeled by a dense system of passive Brownian particles, and of a passive tracer particle in a dense…

Soft Condensed Matter · Physics 2021-07-27 Julian Reichert , Thomas Voigtmann

The diffusion of micro- and nanoswimmers in a fluid, confined within irregular structures that impose entropic barriers, is often modeled using overdamped active Brownian dynamics, where viscous effects are paramount and inertia is…

Soft Condensed Matter · Physics 2026-04-03 Narender Khatri , Vikas Sharma , Anton F. Burnet , Suneet Kumar Awasthi

We propose a mechanism to control the formation of stable obstructions in two-dimensional micro-channels of variable sections taking advantage of the peculiar clustering property of active systems. Under the activation of the…

Soft Condensed Matter · Physics 2021-01-04 Lorenzo Caprini , Fabio Cecconi , Claudio Maggi , Umberto Marini Bettolo Marconi

In this work we have characterized the phase behaviour and the dynamics of bidimensional mixtures of active and passive Brownian particles. We have evaluated state diagrams at several concentrations of the passive components finding that,…

Soft Condensed Matter · Physics 2025-11-12 Diego Rogel Rodriguez , Francisco Alarcon , Raul Martinez , Jorge Ramirez , Chantal Valeriani

Collective rotations are common in active matter, enhancing cohesion, transport, and mixing. They are typically attributed to chiral non-reciprocal dynamics due to intrinsic particle chirality, torque-generating interactions among units, or…

Soft Condensed Matter · Physics 2026-04-20 Maks Pečnik Bambič , Nuno A. M. Araújo , Giorgio Volpe

Chiral active particles (or self-propelled circle swimmers) feature a rich collective behavior, comprising rotating macro-clusters and micro-flock patterns which consist of phase-synchronized rotating clusters with a characteristic…

Soft Condensed Matter · Physics 2018-02-14 Demian Levis , Benno Liebchen

The coupling of active, self-motile particles to topological constraints can give rise to novel non-equilibrium dynamical patterns that lack any passive counterpart. Here we study the behavior of self-propelled rods confined to a compact…

Statistical Mechanics · Physics 2018-08-21 Liesbeth M. C. Janssen , Andreas Kaiser , Hartmut Löwen

The transport of self-propelled particles such as bacteria and phoretic swimmers through crowded heterogeneous environments is relevant to many natural and engineering processes, from biofilm formation and contamination processes to…

Fluid Dynamics · Physics 2019-04-10 Roberto Alonso-Matilla , Brato Chakrabarti , David Saintillan

In a bilayered system of particles with wake-mediated interactions, the action-reaction symmetry for the effective forces between particles of different layers is broken. Under quite general conditions we show that, if the interaction…

Statistical Mechanics · Physics 2016-06-22 Jörg Bartnick , Andreas Kaiser , Hartmut Löwen , Alexei Ivlev

Active Brownian particles (ABPs) represent a minimal model of active matter consisting of self-propelled spheres with purely repulsive interactions and rotational noise. Here, we examine the pressure of ABPs in two dimensions in both closed…

Soft Condensed Matter · Physics 2017-01-11 Adam Patch , David Yllanes , M. Cristina Marchetti

A dilute suspension of active Brownian particles in a dense compressible viscoelastic fluid, forms a natural setting to study the emergence of nonreciprocity during a dynamical phase transition. At these densities, the transport of active…

Soft Condensed Matter · Physics 2021-10-14 Jyoti Prasad Banerjee , Rituparno Mandal , Deb Sankar Banerjee , Shashi Thutupalli , Madan Rao

We numerically study active Brownian particles that can respond to environmental cues through a small set of actions (switching their motility and turning left or right with respect to some direction) which are motivated by recent…

Soft Condensed Matter · Physics 2022-11-08 Marcel Gerhard , Ashreya Jayaram , Andreas Fischer , Thomas Speck

In this paper, we report a Brownian dynamics simulation of the mobility-induced phase separation which occurs in a two-dimensional binary mixture of active soft Brownian particles, whose interactions are modeled by non-additive…

Soft Condensed Matter · Physics 2026-01-23 D. Jiménez-Flores , A. Rodríguez-Rivas , J. M. Romero-Enrique

We investigate the phase behavior and kinetics of a monodisperse mixture of active (\textit{i.e.}, self-propelled) and passive isometric Brownian particles through Brownian dynamics simulations and theory. As in a purely active system,…

Soft Condensed Matter · Physics 2015-01-08 Joakim Stenhammar , Raphael Wittkowski , Davide Marenduzzo , Michael E. Cates

In a system of colloidal inclusions suspended in a thermalized bath of smaller particles, the bath engenders an attractive force between the inclusions, arising mainly from entropic origins, known as the depletion force. In the case of…

Soft Condensed Matter · Physics 2020-10-01 Mahdi Zarif , Ali Naji

We numerically investigate the transport of a suspended overdamped Brownian particle which is driven through a two-dimensional rectangular array of circular obstacles with finite radius. Two limiting cases are considered in detail, namely,…

Chemical Physics · Physics 2012-01-06 P. K. Ghosh , P. Hanggi , F. Marchesoni , S. Martens , F. Nori , L. Schimansky-Geier , G. Schmid

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

The effect of curvature and how it induces and enhances the transport of colloidal particles driven through narrow channels represent an unexplored research avenue. Here we combine experiments and simulations to investigate the dynamics of…