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Finding the best strategy to minimize the time needed to find a given target is a crucial task both in nature and in reaching decisive technological advances. By considering learning agents able to switch their dynamics between standard and…

Developing behavioral policies designed to efficiently solve target-search problems is a crucial issue both in nature and in the nanotechnology of the 21st century. Here, we characterize the target-search strategies of simple microswimmers…

Soft Condensed Matter · Physics 2023-07-25 Harpreet Kaur , Thomas Franosch , Michele Caraglio

Target search by active agents in rugged energy landscapes has remained a challenge because standard enhanced sampling methods do not apply to irreversible dynamics. We overcome this non-equilibrium rare-event problem by developing an…

Soft Condensed Matter · Physics 2021-01-20 Luigi Zanovello , Michele Caraglio , Thomas Franosch , Pietro Faccioli

Microswimmers are microscopic active agents capable of harvesting energy from the surrounding environment and converting it into self-propulsion and directed motion. This peculiar feature characterizes them as out-of-equilibrium systems…

Statistical Mechanics · Physics 2023-04-14 Luigi Zanovello

Differently from passive Brownian particles, active particles, also known as self-propelled Brownian particles or microswimmers and nanoswimmers, are capable of taking up energy from their environment and converting it into directed motion.…

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

We consider active Brownian particles that intermittently switch between active and inactive states. Such behavior is ubiquitous at all scales, from bacteria to animals and in artificial active systems. We derive exact expressions for key…

Statistical Mechanics · Physics 2025-09-24 Fernando Peruani , Debasish Chaudhuri

Self-propelled active particles exhibit delayed responses to environmental changes, modulating their propulsion speed through intrinsic sensing and feedback mechanisms. This adaptive behavior fundamentally determines their dynamics and…

Soft Condensed Matter · Physics 2025-05-21 Viktor Holubec , Alexander Fischer , Giovanni Volpe , Frank Cichos

Identifying optimal strategies for efficient spatial exploration is crucial, both for animals seeking food and for robotic search processes, where maximizing the covered area is a fundamental requirement. Here, we propose position resetting…

Soft Condensed Matter · Physics 2025-10-02 Kristian Stølevik Olsen , Hartmut Löwen , Lorenzo Caprini

We employ deep reinforcement learning methods to investigate shortest-time navigation strategies for smart active Brownian particles (microagents), which self-propel through a rotating potential barrier in a static, viscous, fluid…

Soft Condensed Matter · Physics 2025-03-11 Mohammad Hossein Masoudi , Ali Naji

Navigation in complex and noisy environments is a key issue in diverse fields from biology to engineering. Despite extensive progress in numerical optimization methods for computing navigation policies, insights into how disorder reshapes…

Statistical Mechanics · Physics 2026-05-06 Kévin Bilaï Biloa , Olivier Pierre-Louis

As the length scales of the smallest technology continue to advance beyond the micron scale it becomes increasingly important to equip robotic components with the means for intelligent and autonomous decision making with limited…

Soft Condensed Matter · Physics 2022-09-08 Paul A. Monderkamp , Fabian Jan Schwarzendahl , Michael A. Klatt , Hartmut Löwen

We consider the dynamics of a microswimmer and show that they can be approximated by active Brownian motion. The swimmer is modeled by coupled overdamped Langevin equations with periodic driving. We compare the energy dissipation of the…

Statistical Mechanics · Physics 2019-01-16 Jannik Ehrich , Marcel Kahlen

In many situations, simply finding a target during a search is not enough. It is equally important to be able to return to that target repeatedly or to enable a larger community to locate and utilize it. While first passage time is commonly…

Soft Condensed Matter · Physics 2025-07-16 Vladimir Yu. Rudyak , Shahar Shinehorn , Yael Roichman

In environments with scarce resources, adopting the right search strategy can make the difference between succeeding and failing, even between life and death. At different scales, this applies to molecular encounters in the cell cytoplasm,…

Biological Physics · Physics 2018-09-27 Giorgio Volpe , Giovanni Volpe

We consider a moving target and an active pursing agent, modeled as an intelligent active Brownian particle capable of sensing the instantaneous target location and adjust its direction of motion accordingly. An analytical and simulation…

Soft Condensed Matter · Physics 2024-06-04 Segun Goh , Roland G. Winkler , Gerhard Gompper

Biological microswimmers often inhabit a porous or crowded environment such as soil. In order to understand how such a complex environment influences their spreading, we numerically study non-interacting active Brownian particles (ABPs) in…

Soft Condensed Matter · Physics 2016-12-06 Maria Zeitz , Holger Stark

Active particles may happen to be confined in channels so narrow that they cannot overtake each other (Single File conditions). This interesting situation reveals nontrivial physical features as a consequence of the strong inter-particle…

Statistical Mechanics · Physics 2015-06-19 Emanuele Locatelli , Fulvio Baldovin , Enzo Orlandini , Matteo Pierno

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

We study the dynamics of a Brownian circle swimmer with a time-dependent self-propulsion velocity in an external temporally varying harmonic potential. For several situations, the noise-free swimming paths, the noise-averaged mean…

Soft Condensed Matter · Physics 2017-02-21 Soudeh Jahanshahi , Hartmut Löwen , Borge ten Hagen
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