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We have considered the underdamped motion of a Brownian particle in the presence of a correlated external random force. The force is modeled by an Ornstein-Uhlenbeck process. We investigate the fluctuations of the work done by the external…

统计力学 · 物理学 2014-11-19 Arnab Pal , Sanjib Sabhapandit

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…

统计力学 · 物理学 2025-09-17 Deepak Gupta , Sabine H. L. Klapp

We investigate the stochastic motion of a Brownian particle in the harmonic potential with a time-dependent force constant. It may describe the motion of a colloidal particle in an optical trap where the potential well is formed by a…

统计力学 · 物理学 2014-04-11 Chulan Kwon , Jae Dong Noh , Hyunggyu Park

We derive the distribution function of work performed by a harmonic force acting on a uniformly dragged Brownian particle subjected to a rotational torque. Following the Onsager and Machlup's functional integral approach, we obtain the…

统计力学 · 物理学 2016-01-29 Bappa Saha , Sutapa Mukherji

We consider an active Brownian particle in a $d$-dimensional harmonic trap, in the presence of translational diffusion. While the Fokker-Planck equation can not in general be solved to obtain a closed form solution of the joint distribution…

统计力学 · 物理学 2021-12-23 Debasish Chaudhuri , Abhishek Dhar

We study the active work fluctuations of an active Ornstein-Uhlenbeck particle in the presence of a confining harmonic potential. We tackle the problem analytically both for stationary and generic uncorrelated initial states. Our results…

统计力学 · 物理学 2023-02-27 Massimiliano Semeraro , Giuseppe Gonnella , Antonio Suma , Marco Zamparo

We consider passive Brownian particles trapped in an "imperfect" harmonic trap. The trap is imperfect because it is randomly turned off and on, and as a result, particles fail to equilibrate. Another way to think about this is to say that a…

统计力学 · 物理学 2024-10-10 Derek Frydel

The fluctuations of the work done by an external Gaussian random force on a harmonic oscillator that is also in contact with a thermal bath is studied. We have obtained the exact large deviation function as well as the complete asymptotic…

统计力学 · 物理学 2011-11-08 Sanjib Sabhapandit

Inertial effects in fluctuations of the work to sustain a system in a nonequilibrium steady state are discussed for a dragged massive Brownian particle model using a path integral approach. We calculate the work distribution function in the…

统计力学 · 物理学 2007-12-12 Tooru Taniguchi , E. G. D. Cohen

We consider the paradigm of an overdamped Brownian particle in a potential well, which is modulated through an external protocol, in the presence of stochastic resetting. Thus, in addition to the short range diffusive motion, the particle…

统计力学 · 物理学 2020-03-25 Deepak Gupta , Carlos A. Plata , Arnab Pal

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…

We analytically describe the decay to equilibrium of generic observables of a non-integrable system after a perturbation in the form of a random matrix. We further obtain an analytic form for the time-averaged fluctuations of an observable…

量子物理 · 物理学 2019-06-05 Charlie Nation , Diego Porras

Recently many results namely the Fluctuation theorems (FT), have been discovered for systems arbitrarily away from equilibrium. Many of these relations have been experimentally tested. The system under consideration is usually driven out of…

统计力学 · 物理学 2019-10-02 Rahul Marathe , Sourabh Lahiri

We study the stationary states of an over-damped active Brownian particle (ABP) in a harmonic trap in two dimensions, via mathematical calculations and numerical simulations. In addition to translational diffusion, the ABP self-propels with…

统计力学 · 物理学 2023-07-27 Urvashi Nakul , Manoj Gopalakrishnan

Analytical work probability distributions for open classical systems are scarce; they can only be calculated in a few examples. In this work, I present a new method to derive such quantities for weakly driven processes in the overdamped…

统计力学 · 物理学 2025-04-09 Pierre Nazé

A colloidal suspension of active Brownian particles (ABPs) driven by controllable forces into directed or persistent motions can serve as a model for understanding the biological systems. Experiments and numerical simulations are…

软凝聚态物质 · 物理学 2019-08-27 Chong Shen , Lanfang Li , Zhiyu Jiang , H. Daneil Ou-Yang

We find an exact series solution for the steady-state probability distribution of a harmonically trapped active Brownian particle in two dimensions, in the presence of translational diffusion. This series solution allows us to efficiently…

统计力学 · 物理学 2020-03-04 Kanaya Malakar , Arghya Das , Anupam Kundu , K. Vijay Kumar , Abhishek Dhar

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…

We study the stationary fluctuations of independent run-and-tumble particles. We prove that the joint densities of particles with given internal state converges to an infinite dimensional Ornstein-Uhlenbeck process. We also consider an…

概率论 · 数学 2024-03-13 Frank Redig , Hidde van Wiechen

We revisit the model of a Brownian particle in a heat bath submitted to an actively controlled force proportional to the velocity that leads to thermal noise reduction (cold damping). We investigate the influence of the continuous feedback…

统计力学 · 物理学 2015-06-04 T. Munakata , M. L. Rosinberg
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