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We investigate a model for a Stirling-like engine consisting of a passive Brownian particle confined by a harmonic potential and interacting with a suspension of active Brownian particles that self-propel in a viscous solvent, which…

Soft Condensed Matter · Physics 2022-12-06 Carlos Antonio Guevara-Valadez , Rahul Marathe , Juan Ruben Gomez-Solano

Understanding stochastic thermodynamics of active Brownian particles (ABPs) system has been an important topic in very recent years. In this article we study a general model of active Brownian particle systems by introducing a…

Statistical Mechanics · Physics 2022-05-11 Zhiyu Cao , Jie Su , Huijun Jiang , Zhonghuai Hou

We provide a comprehensive analysis of the positional dynamics and average thermodynamics of an overdamped Brownian particle subject to both, harmonic confinement and annealed disorder due to a temporarily fluctuating trap stiffness. We…

Statistical Mechanics · Physics 2025-09-17 Deepak Gupta , Sabine H. L. Klapp

Active Brownian engines rectify energy from reservoirs composed of self-propelling non-equilibrium molecules into work. We consider a class of such engines based on an underdamped Brownian particle trapped in a power-law potential. The…

Statistical Mechanics · Physics 2021-01-04 Viktor Holubec , Rahul Marathe

We propose a new overarching model for self-propelled particles that flexibly generates a full family of "descendants". The general dynamics introduced in this paper, which we denote as "parental" active model (PAM), unifies two special…

Soft Condensed Matter · Physics 2022-03-15 Lorenzo Caprini , Alexander Ralf Sprenger , Hartmut Löwen , René Wittmann

Optimisation of heat engines at the micro-scale has applications in biological and artificial nano-technology, and stimulates theoretical research in non-equilibrium statistical physics. Here we consider non-interacting overdamped particles…

Soft Condensed Matter · Physics 2021-06-02 Giulia Gronchi , Andrea Puglisi

We evaluate the steady-state distribution and escape rate for an Active Ornstein-Uhlenbeck Particle (AOUP) using methods from the theory of large deviations. The calculation is carried out both for small and large memory times of the active…

Statistical Mechanics · Physics 2022-08-31 Eric Woillez , Yariv Kafri , Vivien Lecomte

We explore the self-propulsion of an active Ornstein-Uhlenbeck particle with a non-linear velocity dependent friction. Using analytical approach and numerical simulation, we have exactly investigated the dynamical behaviour of the particle…

Soft Condensed Matter · Physics 2024-05-15 N Arsha , M Sahoo

We study the non-equilibrium properties of non interacting active Ornstein-Uhlenbeck particles (AOUP) subject to an external nonuniform field using a Fokker-Planck approach with a focus on the linear response and time-correlation functions.…

Statistical Mechanics · Physics 2018-03-16 Lorenzo Caprini , Umberto Marini Bettolo Marconi , Angelo Vulpiani

We apply the concept of a frequency-dependent effective temperature based on the fluctuation-dissipation ratio to a driven Brownian particle in a nonequilibrium steady state. Using this system as a thermostat for a weakly coupled harmonic…

Statistical Mechanics · Physics 2017-06-07 Robert Wulfert , Michael Oechsle , Thomas Speck , Udo Seifert

We investigate how the competing presence of a nonuniform motility landscape and an external confining field affects the properties of active particles. We employ the active Ornstein-Uhlenbeck particle (AOUP) model with a periodic swim…

Statistical Mechanics · Physics 2022-03-02 Lorenzo Caprini , Umberto Marini Bettolo Marconi , René Wittmann , Hartmut Löwen

Active matter systems are driven out of equilibrium by conversion of energy into directed motion locally on the level of the individual constituents. In the spirit of a minimal description, active matter is often modeled by so-called active…

Statistical Mechanics · Physics 2021-01-12 Lennart Dabelow , Ralf Eichhorn

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…

Self-propelled particles, which convert energy into mechanical motion, exhibit inertia if they have a macroscopic size or move inside a gaseous medium, in contrast to micron-sized overdamped particles immersed in a viscous fluid. Here we…

Soft Condensed Matter · Physics 2021-11-08 G. H. Philipp Nguyen , René Wittmann , Hartmut Löwen

We investigate the performance of a Brownian heat engine working in a heterogeneous thermal bath where the mobility fluctuates. Brownian particle is trapped by the time-dependent harmonic potential, by changing the stiffness coefficient and…

Statistical Mechanics · Physics 2024-05-20 I. Iyyappan , Jetin E. Thomas , Sibasish Ghosh

Heat engines transform thermal energy into useful work, operating in a cyclic manner. For centuries, they have played a key role in industrial and technological development. Historically, only gases and liquids have been used as working…

Statistical Mechanics · Physics 2025-03-25 Irene Prieto-Rodríguez , Antonio Prados , Carlos A. Plata

We revisit the elementary problem of moving a particle in a harmonic trap in finite time with minimal work cost, and extend it to the case of an active particle. By comparing the Gaussian case of an Active Ornstein-Uhlenbeck particle and…

Statistical Mechanics · Physics 2025-07-16 Janik Schüttler , Rosalba Garcia-Millan , Michael E. Cates , Sarah A. M. Loos

Microorganisms such as bacteria are active matters which consume chemical energy and generate their unique run-and-tumble motion. A swarm of such microorganisms provide a nonequilibrium active environment whose noise characteristics are…

Statistical Mechanics · Physics 2020-09-16 Jae Sung Lee , Jong-Min Park , Hyunggyu Park

The Ornstein--Uhlenbeck Particle (OUP) model imagines a microscopic swimmer propelled by an active force which is correlated with itself on a finite time-scale. Here we investigate the influence of external potentials on an ideal suspension…

Soft Condensed Matter · Physics 2018-04-09 Cato Sandford , Alexander Y. Grosberg

We discuss recent advances in developing a mode-coupling theory of the glass transition (MCT) of two-dimensional systems of active Brownian particles (ABP). We specifically discuss the case of a single ABP tracer in a glass-forming passive…

Soft Condensed Matter · Physics 2020-12-15 Julian Reichert , Leon Granz , Thomas Voigtmann