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We use a simple model of particle shape to investigate how particle asymmetry affects particle-surface interaction, orientation, and stochastic dynamics over a planar surface. With this geometric model, we construct potential energy curves…

Soft Condensed Matter · Physics 2017-10-10 Guilherme H. Oliveira , A. Honorato , Rene A. Nome

We use reinforcement learning to find strategies that allow microswimmers in turbulence to avoid regions of large strain. This question is motivated by the hypothesis that swimming microorganisms tend to avoid such regions to minimise the…

Fluid Dynamics · Physics 2025-10-01 Navid Mousavi , Jingran Qiu , Lihao Zhao , Bernhard Mehlig , Kristian Gustavsson

Combining experiments on active colloids, whose propulsion velocity can be controlled via a feedback loop, and theory of active Brownian motion, we explore the dynamics of an overdamped active particle with a motility that depends…

Efficiency of search for randomly distributed targets is a prominent problem in many branches of the sciences. For the stochastic process of L\'evy walks, a specific range of optimal efficiencies was suggested under variation of search…

Statistical Mechanics · Physics 2021-06-11 S. Mohsen J. Khadem , Sabine H. L. Klapp , Rainer Klages

We study the efficiency of random search processes based on L{\'e}vy flights with power-law distributed jump lengths in the presence of an external drift, for instance, an underwater current, an airflow, or simply the bias of the searcher…

Statistical Mechanics · Physics 2014-12-24 Vladimir V. Palyulin , Aleksei V. Chechkin , Ralf Metzler

Intelligent decisions in response to external informative input can allow organisms to achieve their biological goals while spending very little of their own resources. In this paper, we develop and study a minimal model for a navigational…

Soft Condensed Matter · Physics 2025-03-26 Tobias Plasczyk , Paul A. Monderkamp , Hartmut Löwen , René Wittmann

The quest for the optimal navigation strategy in a complex environment is at the heart of microswimmer applications like cargo carriage or drug targeting to cancer cells. Here, we formulate a variational Fermat's principle for microswimmers…

Soft Condensed Matter · Physics 2019-01-25 Benno Liebchen , Hartmut Löwen

We theoretically address minimal search strategies of active, self-propelled particles towards hidden targets in three-dimensional space. The particles can sense if a target is close, e.g., by detecting signaling molecules released by a…

Soft Condensed Matter · Physics 2021-03-22 Justus A. Kromer , Andrea Auconi , Benjamin M. Friedrich

Autonomous active Brownian ratchets rectify active Brownian particle motion solely by means of a spatially modulated but stationary activity, without external forces. We argue that such ratcheting requires at least a two-dimensional…

Soft Condensed Matter · Physics 2023-05-24 Constantin Rein , Martin Kolář , Klaus Kroy , Viktor Holubec

Smart active particles can acquire some limited knowledge of the fluid environment from simple mechanical cues and exert a control on their preferred steering direction. Their goal is to learn the best way to navigate by exploiting the…

Fluid Dynamics · Physics 2018-05-02 Simona Colabrese , Kristian Gustavsson , Antonio Celani , Luca Biferale

Brownian escape is key to a wealth of physico-chemical processes, including polymer folding, and information storage. The frequency of thermally activated energy barrier crossings is assumed to generally decrease exponentially with…

Soft Condensed Matter · Physics 2020-06-19 Marie Chupeau , Jannes Gladrow , Alexei Chepelianskii , Ulrich F. Keyser , Emmanuel Trizac

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

We describe a two-dimensional model for active particles whose self-propulsion speed is not fixed, but varies in time, and whose motion is subject to both translational and rotational diffusion. In the conventional treatment of active…

Soft Condensed Matter · Physics 2025-10-01 Tayeb Jamali

In this work, we study the dynamics of a single active Brownian particle, as well as the collective behavior of interacting active Brownian particles, in a fluctuating heterogeneous environment. We employ a variant of the diffusing…

Soft Condensed Matter · Physics 2022-01-05 S. M. J. Khadem , N. H. Siboni , S. H. L. Klapp

In addition to enabling movement towards environments with favourable living conditions, swimming by microorganisms has also been linked to enhanced mixing and improved nutrient uptake by their populations. Experimental studies have shown…

Fluid Dynamics · Physics 2017-11-07 Blaise Delmotte , Eric E Keaveny , Eric Climent , Franck Plouraboué

Suspensions of motile active particles with space dependent activity form characteristic polarization and density patterns. Recent single-particle studies for planar activity landscapes identified several quantities associated with emergent…

Soft Condensed Matter · Physics 2021-06-09 Sven Auschra , Viktor Holubec

We study the efficiency of search processes based on Levy flights (LFs) with power-law distributed jump lengths in the presence of an external drift. While LFs turn out to be efficient search processes when relative to the starting point…

Statistical Mechanics · Physics 2013-06-06 Vladimir V. Palyulin , Aleksei V. Chechkin , Ralf Metzler

Small organisms (e.g., bacteria) and artificial microswimmers move due to a combination of active swimming and passive Brownian motion. Considering a simplified linear three-sphere swimmer, we study how the swimmer size regulates the…

Soft Condensed Matter · Physics 2010-10-13 Jörn Dunkel , Irwin M. Zaid

We consider an active Brownian particle moving in a disordered two-dimensional energy or motility landscape. The averaged mean-square-displacement (MSD) of the particle is calculated analytically within a systematic short-time expansion. As…

Soft Condensed Matter · Physics 2021-05-03 Davide Breoni , Michael Schmiedeberg , Hartmut Löwen

Intelligent behavior in life-like systems often arises from the ability to gather, process, and act on information. While active matter provides a framework for studying life-like dynamics, it typically omits internal information-processing…

Statistical Mechanics · Physics 2026-03-02 Kristian Stølevik Olsen , Mitsusuke Tarama , Hartmut Löwen