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We study the large deviations of the power injected by the active force for an Active Ornstein-Uhlenbeck Particle (AOUP), free or in a confining potential. For the free-particle case, we compute the rate function analytically in…

Statistical Mechanics · Physics 2022-01-03 Massimiliano Semeraro , Antonio Suma , Isabella Petrelli , Francesco Cagnetta , Giuseppe Gonnella

Active matter encompasses systems whose individual consituents dissipate energy to exert propelling forces on their environment. This rapidly developing field harbors a dynamical phenomenology with no counterpart in passive systems. The…

Statistical Mechanics · Physics 2023-12-19 Jérémy O'Byrne , Yariv Kafri , Julien Tailleur , Frédéric van Wijland

Active systems evade the rules of equilibrium thermodynamics by constantly dissipating energy at the level of their microscopic components. This energy flux stems from the conversion of a fuel, present in the environment, into sustained…

Soft Condensed Matter · Physics 2022-03-15 Étienne Fodor , Robert L. Jack , Michael E. Cates

This article reports the modeling of inertial rotational Brownian motion as an Ornstein-Uhlenbeck process evolving on the cotangent bundle of the rotation group, SO(3). The benefit of this approach and the use of a different…

Statistical Mechanics · Physics 2023-03-14 Amitesh S. Jayaraman , Jikai Ye , Gregory S. Chirikjian

We investigate the dynamics of an inertial active Ornstein-Uhlenbeck particle suspended in a non-Markovian environment. The particle is additionally subjected to external forces, such as harmonic confinement and a magnetic field. Motivated…

Soft Condensed Matter · Physics 2025-10-15 Sanju S Pillai , M Muhsin , M Sahoo

Dense active matter is gaining widespread interest due to its remarkable similarity with conventional glass-forming materials. However, active matter is inherently out-of-equilibrium and even simple models such as active Brownian particles…

Soft Condensed Matter · Physics 2022-01-12 Vincent E. Debets , Xander M. de Wit , Liesbeth M. C. Janssen

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 study the stationary states of an active Brownian particle (ABP) and run-and-tumble particle (RTP) in two dimensional power-law potentials, in the limit where translational diffusion is negligible. The potential energy of the particle…

Soft Condensed Matter · Physics 2025-10-21 Abhik Samui , Manoj Gopalakrishnan

The indefinite integral of the homogenized Ornstein-Uhlenbeck process is a well-known model for physical Brownian motion, modelling the behaviour of an object subject to random impulses [L. S. Ornstein, G. E. Uhlenbeck: On the theory of…

Probability · Mathematics 2013-02-12 Peter Friz , Paul Gassiat , Terry Lyons

We use Brownian dynamics simulations to study a model of a cyclic bacterial heat engine based on a harmonically confined colloidal probe particle in a bath formed by active Brownian particles. For intermediate activities, active noise…

Soft Condensed Matter · Physics 2025-02-04 Roland Wiese , Klaus Kroy , Viktor Holubec

Collections of self-propelled particles that move persistently by continuously consuming free energy are a paradigmatic example of active matter. In these systems, unlike Brownian "hot colloids", the breakdown of detailed balance yields a…

Soft Condensed Matter · Physics 2018-09-12 Suraj Shankar , M. Cristina Marchetti

Self-propelled active matter can exhibit vastly different behavior than systems with purely Brownian motion. In Eur. Phys. J. E 40, 23 (2017), Zeitz, Wolf, and Stark compared an active matter particle with a Brownian particle moving in a…

Soft Condensed Matter · Physics 2026-03-06 C. Reichhardt , C. J. O. Reichhardt

Active particles self-propel themselves with a stochastically evolving velocity, generating a persistent motion leading to a non-diffusive behavior of the position distribution. Nevertheless, an effective diffusive behavior emerges at times…

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

Brownian motion is modelled by a harmonic oscillator (Brownian particle) interacting with a continuous set of uncoupled harmonic oscillators. The interaction is linear in the coordinates and the momenta. The model has an analytical solution…

Quantum Physics · Physics 2019-08-17 Diego G. Arbo , Mario A. Castagnino , Fabian H. Gaioli , Sergio Iguri

The $d$-dimensional Ornstein--Uhlenbeck process (OUP) describes the trajectory of a particle in a $d$-dimensional, spherically symmetric, quadratic potential. The OUP is composed of a drift term weighted by a constant $\theta \geq 0$ and a…

Probability · Mathematics 2023-05-10 Hans Kersting , Antonio Orvieto , Frank Proske , Aurelien Lucchi

Active Brownian motion commonly assumes spherical overdamped particles. However, self-propelled particles are often neither symmetric nor overdamped yet underlie random fluctuations from their surroundings. Active Brownian motion has…

Soft Condensed Matter · Physics 2022-10-03 Jonas Mayer Martins , Raphael Wittkowski

Designing a protocol to efficiently drive a stochastic system is an active field of research. Here we extend such control theory to an active Ornstein-Uhlenbeck particle (AOUP) in a bistable potential, driven by a harmonic trap. We find…

Statistical Mechanics · Physics 2023-08-15 Deepak Gupta , Sabine H. L. Klapp , David A. Sivak

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 consider the thermal and athermal overdamped motion of particles in 1D geometries where discrete internal degrees of freedom (spin) are coupled with the translational motion. Adding a driving velocity that depends on the time-dependent…

Statistical Mechanics · Physics 2018-03-21 Thibaut Demaerel , Christian Maes

Experimental realizations of self-propelled colloidal Janus particles exploit the conversion of free energy into directed motion. One route are phoretic mechanisms that can be modeled schematically as the interconversion of two chemical…

Statistical Mechanics · Physics 2019-09-04 Thomas Speck