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Related papers: Work Fluctuations in the Active Ornstein- Uhlenbec…

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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 compare the fluctuations in the velocity and in the fraction of time spent at a given position for minimal models of a passive and an active particle: an asymmetric random walker and a run-and-tumble particle in continuous time and on a…

Statistical Mechanics · Physics 2019-10-03 Emil Mallmin , Richard A Blythe , Martin R Evans

We study a system of active particles with soft repulsive interactions that lead to an active cluster-crystal phase in two dimensions. We use two different modelizations of the active force - Active Brownian particles (ABP) and…

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

Thermodynamic uncertainty relations (TURs) delineate tradeoff relations between the thermodynamic cost and the magnitude of an observable's fluctuation. While TURs have been established for various nonequilibrium systems, their…

Statistical Mechanics · Physics 2025-06-23 Hyeong-Tark Han , Jae Sung Lee , Jae-Hyung Jeon

We explore the dynamics of active elements performing persistent random motion with fluctuating active speed and in the presence of translational noise in a $d$-dimensional harmonic trap, modeling active speed generation through an…

Statistical Mechanics · Physics 2025-02-18 Manish Patel , Amir Shee , Debasish Chaudhuri

We study the large fluctuations of the work injected by the random force into a Brownian particle under the action of a confining harmonic potential. In particular, we compute analytically the rate function for generic uncorrelated initial…

Statistical Mechanics · Physics 2024-12-11 Giovanni Battista Carollo , Massimiliano Semeraro , Giuseppe Gonnella , Marco Zamparo

We present a theoretical framework that enables investigating rare transitions in a general model of an active particle in an external potential, with the thermal Active Ornstein-Uhlenbeck Particle (AOUP) appearing as a special case. Using…

Statistical Mechanics · Physics 2026-04-20 Vito Seinen , Peter G. Bolhuis , Daan Crommelin , Sara Jabbari Farouji , Michel Mandjes

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

Active biological systems reside far from equilibrium, dissipating heat even in their steady state, thus requiring an extension of conventional equilibrium thermodynamics and statistical mechanics. In this Letter, we have extended the…

Soft Condensed Matter · Physics 2017-12-22 Dibyendu Mandal , Katherine Klymko , Michael R. DeWeese

Active matter systems are driven out of equilibrium at the level of individual constituents. One widely studied class are systems of athermal particles that move under the combined influence of interparticle interactions and…

Soft Condensed Matter · Physics 2020-08-26 Elijah Flenner , Grzegorz Szamel

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 consider an overdamped particle with a general physical mechanism that creates noisy active movement (e.g., a run-and-tumble particle or active Brownian particle etc.), that is confined by an external potential. Focusing on the limit in…

Statistical Mechanics · Physics 2023-08-23 Naftali R. Smith

We revisit the Ornstein-Uhlenbeck (OU) process as the fundamental mathematical description of linear irreversible phenomena, with fluctuations, near an equilibrium. By identifying the underlying circulating dynamics in a stationary process…

Statistical Mechanics · Physics 2015-09-22 Yi-An Ma , Hong Qian

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 propose a model for the motion of a single active particle in a heterogeneous environment where the heterogeneity may arise due to the crowding, conformational fluctuations and/or slow rearrangement of the surroundings. Describing the…

Statistical Mechanics · Physics 2022-03-04 Koushik Goswami , Rajarshi Chakrabarti

We discuss physical and mathematical aspects of the over-damped motion of a Brownian particle in fluctuating potentials. It is shown that such a system can be described quantitatively by fluctuating rates if the potential fluctuations are…

Statistical Mechanics · Physics 2009-11-07 Andreas Mielke

A colloidal particle immersed in a bath of bacteria is a typical example of a passive particle in an active bath. To model this, we take an overdamped harmonically trapped particle subjected to a thermal and a non-equilibrium noise arising…

Statistical Mechanics · Physics 2018-08-02 Subhasish Chaki , Rajarshi Chakrabarti

Inertial effects affecting both the translational and rotational dynamics are inherent to a broad range of active systems at the macroscopic scale. Thus, there is a pivotal need for proper models in the framework of active matter to…

Soft Condensed Matter · Physics 2023-05-10 Alexander R. Sprenger , Lorenzo Caprini , Hartmut Löwen , René Wittmann

This paper shows that the configurational temperature of liquid-state theory, $\Tc$, defines an energy scale, which can be used for adjusting model parameters of active Ornstein-Uhlenbeck particle (AOUP) models in order to achieve…

Soft Condensed Matter · Physics 2023-02-20 Shibu Saw , Lorenzo Costigliola , Jeppe C. Dyre