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We study the full nonequilibirum steady state distribution $P_{\text{st}}\left(X\right)$ of the position $X$ of a damped particle confined in a harmonic trapping potential and experiencing active noise, whose correlation time $\tau_c$ is…

Statistical Mechanics · Physics 2022-11-10 Naftali R. Smith , Oded Farago

We calculate the steady state distribution $P_{\text{SSD}}(\boldsymbol{X})$ of the position of a Brownian particle under an intermittent confining potential that switches on and off with a constant rate $\gamma$. We assume the external…

Statistical Mechanics · Physics 2025-04-08 Soheli Mukherjee , Naftali R. Smith

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 consider a particle, confined to a moving harmonic potential, under the influence of friction and external asymmetric Poissonian shot noise (PSN). We study the fluctuations of the work done to maintain this system in a nonequilibrium…

Statistical Mechanics · Physics 2009-04-01 A. Baule , E. G. D. Cohen

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

Confined active particles constitute simple, yet realistic, examples of systems that converge into a non-equilibrium steady state. We investigate a run-and-tumble particle in one spatial dimension, trapped by an external potential, with a…

Statistical Mechanics · Physics 2024-04-09 Oded Farago , Naftali R. Smith

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…

Statistical Mechanics · Physics 2014-11-19 Arnab Pal , Sanjib Sabhapandit

A non-equilibrium steady state can be characterized by a nonzero but stationary flux driven by a static external force. Under a weak external force, the drift velocity is difficult to detect because the drift motion is feeble and submerged…

Statistical Mechanics · Physics 2015-06-22 Rui Shi , Yanting Wang

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…

Statistical Mechanics · Physics 2007-12-12 Tooru Taniguchi , E. G. D. Cohen

We present an analysis of the stationary distributions of run-and-tumble particles trapped in external potentials in terms of a thermophoretic potential, that emerges when trapped active motion is mapped to trapped passive Brownian motion…

Statistical Mechanics · Physics 2019-02-06 Francisco J. Sevilla , Alejandro V. Arzola , Enrique Puga Cital

We study the late time dynamics of a single active Brownian particle in two dimensions with speed $v_0$ and rotation diffusion constant $D_R$. We show that at late times $t\gg D_R^{-1}$, while the position probability distribution…

Statistical Mechanics · Physics 2019-12-18 Urna Basu , Satya N. Majumdar , Alberto Rosso , Gregory Schehr

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

At long times, a fractional Brownian particle in a confining external potential reaches a non-equilibrium (non-Boltzmann) steady state. Here we consider scale-invariant power-law potentials $V(x)\sim |x|^m$, where $m>0$, and employ the…

Statistical Mechanics · Physics 2025-03-03 Baruch Meerson , Pavel V. Sasorov

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 diffusive motion of a particle in a subharmonic potential of the form $U(x)=|x|^c$ ($0<c<2$) driven by long-range correlated, stationary fractional Gaussian noise $\xi_{\alpha}(t)$ with $0<\alpha\le2$. In the absence of the…

Statistical Mechanics · Physics 2022-07-13 Tobias Guggenberger , Aleksei V. Chechkin , Ralf Metzler

We study the stationary nonequilibrium states of N point particles moving under the influence of an electric field E among fixed obstacles (discs) in a two dimensional torus. The total kinetic energy of the system is kept constant through a…

Chaotic Dynamics · Physics 2007-05-23 F. Bonetto , D. Daems , J. L. Lebowitz , V. Ricci

Within the Rayleigh-Helmholtz model of active Brownian particles activity is due to a non-linear velocity dependent force. In the presence of an external trapping potential or a constant force, the steady state of the system breaks detailed…

Statistical Mechanics · Physics 2015-06-19 Debasish Chaudhuri

We develop a formally exact technique for obtaining steady-state distributions of non-interacting active Brownian particles in a variety of systems. Our technique draws on results from the theory of two-way diffusion equations to solve the…

Soft Condensed Matter · Physics 2017-04-06 Caleb G. Wagner , Michael F. Hagan , Aparna Baskaran

We consider a system of particles subjected to a uniform external force E and undergoing random collisions with "virtual" fixed obstacles, as in the Drude model of conductivity. The system is maintained in a nonequilibrium stationary state…

Chaotic Dynamics · Physics 2016-12-21 Federico Bonetto , Joel L. Lebowitz

One of the many measures of the non-equilibrium nature of a system is the existence of a non-zero steady state current which is especially relevant for many biological systems. To this end, we study the non-equilibrium dynamics of a…

Soft Condensed Matter · Physics 2024-12-13 Saloni Saxena , Marko Popović , Frank Jülicher
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