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We find an exact series solution for the steady-state probability distribution of a harmonically trapped active Brownian particle in two dimensions, in the presence of translational diffusion. This series solution allows us to efficiently…

Statistical Mechanics · Physics 2020-03-04 Kanaya Malakar , Arghya Das , Anupam Kundu , K. Vijay Kumar , Abhishek Dhar

The confliction between the stable interface in phase-separated active Brownian particles and its negative surface tension, obtained mechanically via the active pressure, has sparked considerable debate about the formula of active surface…

Soft Condensed Matter · Physics 2025-03-06 Longfei Li , Zihao Sun , Mingcheng Yang

We investigate the influence of external forces on the collective dynamics of interacting active Brownian particles in two as well as three spatial dimensions. Via explicit coarse graining, we derive predictive models that are applicable…

Soft Condensed Matter · Physics 2022-02-10 Jens Bickmann , Stephan Bröker , Raphael Wittkowski

Understanding microstructure in terms of closed-form expressions is an open challenge in nonequilibrium statistical physics. We propose a simple and generic method that combines particle-resolved simulations, deep neural networks and…

Soft Condensed Matter · Physics 2026-01-12 Writu Dasgupta , Suvendu Mandal , Aritra K. Mukhopadhyay , Benno Liebchen

Active Brownian motion is the complex motion of active Brownian particles. They are active in the sense that they can transform their internal energy into energy of motion and thus create complex motion patterns. Theories of active Brownian…

Statistical Mechanics · Physics 2009-03-04 Alexander Gluck , Helmuth Huffel , Sasa Ilijic

The aim of this paper is to discuss the mathematical modeling of Brownian active particle systems, a recently popular paradigmatic system for self-propelled particles. We present four microscopic models with different types of repulsive…

Statistical Mechanics · Physics 2022-05-31 M. Bruna , M. Burger , A. Esposito , S. M. Schulz

We consider a mixture of passive (i.e., Brownian) and active (e.g., bacterial or colloidal swimmers) particles, and analyze the stability conditions of either uniformly mixed or phase segregated steady states consisting of phases enriched…

Statistical Mechanics · Physics 2015-09-21 Alexander Y. Grosberg , Jean-François Joanny

While the collective dynamics of spherical active Brownian particles is relatively well understood by now, the much more complex dynamics of nonspherical active particles still raises interesting open questions. Previous work has shown that…

Soft Condensed Matter · Physics 2023-07-31 Stephan Bröker , Michael te Vrugt , Raphael Wittkowski

We investigate a trapping mechanism for passive Brownian particles based on mixtures with self-propelled dipolar colloids. Active dipoles, whose magnetic moment is oriented perpendicularly to their propulsion direction, spontaneously form…

Soft Condensed Matter · Physics 2025-09-18 Arnaud Compagnie , Nicolas Vandewalle , Eric Opsomer

We study the two-dimensional motion of an active Brownian particle of speed $v_0$, with intermittent directional reversals in the presence of a harmonic trap of strength $\mu$. The presence of the trap ensures that the position of the…

Statistical Mechanics · Physics 2022-09-14 Ion Santra , Urna Basu , Sanjib Sabhapandit

We investigate the nonequilibrium dynamics of spherical active Brownian particles in three spatial dimensions that interact via a pair potential. The investigation is based on a predictive local field theory that is derived by a rigorous…

Soft Condensed Matter · Physics 2020-08-19 Jens Bickmann , Raphael Wittkowski

We study interacting active Brownian particles (ABPs) with a space-dependent swim velocity via simulation and theory. We find that, although an equation of state exists, a mechanical equilibrium does not apply to ABPs in activity…

Soft Condensed Matter · Physics 2024-12-13 Adam Wysocki , Anil K. Dasanna , Heiko Rieger

We consider the steady-state behavior of pairs of active particles having different persistence times and diffusivities. To this purpose we employ the active Ornstein-Uhlenbeck model, where the particles are driven by colored noises with…

Soft Condensed Matter · Physics 2018-01-17 René Wittmann , Joseph M. Brader , Abhinav Sharma , Umberto Marini Bettolo Marconi

We present a theory for the steady-state dynamics of a two-dimensional system of spherically symmetric active Brownian particles. The derivation of the theory consists of two steps. First, we integrate out the self-propulsions and obtain a…

Soft Condensed Matter · Physics 2019-05-01 Grzegorz Szamel

Controlled activity of active entities interacting with a passive environment can generate emergent system-level phenomena, positioning such systems as promising platforms for potential downstream applications in targeted drug delivery,…

Soft Condensed Matter · Physics 2025-10-07 Thomas Jacob , Siddhant Mohapatra , Rajalingam A , Sam Mathew , Pallab Sinha Mahapatra

We use computer simulations to test a simple idea for mapping between long-time self diffusivities obtained from molecular and Brownian dynamics. The strategy we explore is motivated by the behavior of fluids comprising particles that…

Soft Condensed Matter · Physics 2011-10-25 Mark J. Pond , Jeffrey R. Errington , Thomas M. Truskett

The equilibrium properties of a system of passive diffusing particles in an external magnetic field are unaffected by the Lorentz force. In contrast, active Brownian particles exhibit steady-state phenomena that depend on both the strength…

Statistical Mechanics · Physics 2020-10-06 Iman Abdoli , Abhinav Sharma

We consider a Brownian particle which, in addition to being in contact with a thermal bath, is driven by fluctuating forces which stem from active processes in the system, such as self-propulsion or collisions with other active particles.…

Statistical Mechanics · Physics 2019-04-24 Lennart Dabelow , Stefano Bo , Ralf Eichhorn

Accurate interaction potentials between microscopic components such as colloidal particles or cells are crucial to understanding a range of processes, including colloidal crystallization, bacterial colony formation, and cancer metastasis.…

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