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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…

Statistical Mechanics · Physics 2023-07-27 Urvashi Nakul , Manoj Gopalakrishnan

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

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…

Statistical Mechanics · Physics 2020-03-04 Kanaya Malakar , Arghya Das , Anupam Kundu , K. Vijay Kumar , Abhishek Dhar

We study the position distribution of an active Brownian particle (ABP) in the presence of stochastic resetting in two spatial dimensions. We consider three different resetting protocols : (I) where both position and orientation of the…

Statistical Mechanics · Physics 2021-04-20 Vijay Kumar , Onkar Sadekar , Urna Basu

Active Brownian motion with intermittent direction reversals are common in a class of bacteria like {\it Myxococcus xanthus} and {\it Pseudomonas putida}. We show that, for such a motion in two dimensions, the presence of the two time…

Statistical Mechanics · Physics 2021-08-04 Ion Santra , Urna Basu , Sanjib Sabhapandit

We describe a two-dimensional model for active particles whose self-propulsion speed is not fixed, but varies in time, and whose motion is subject to both translational and rotational diffusion. In the conventional treatment of active…

Soft Condensed Matter · Physics 2025-10-01 Tayeb Jamali

We analytically investigate the dynamic behavior of an an-isotropic active Brownian particle under various stochastic resetting protocols in two dimensions. The motion of shape-asymmetric active Brownian particles in two dimensions leads to…

Statistical Mechanics · Physics 2025-11-26 Anirban Ghosh , Sudipta Mandal , Subhasish Chaki

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 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…

Statistical Mechanics · Physics 2021-12-23 Debasish Chaudhuri , Abhishek Dhar

We study the dynamics of a single active Brownian particle (ABP) in two spatial dimensions. The ABP has an intrinsic time scale $D_R^{-1}$ set by the rotational diffusion constant $D_R$. We show that, at short-times $t \ll D_R^{-1}$, the…

Statistical Mechanics · Physics 2020-04-29 Urna Basu , Satya N. Majumdar , Alberto Rosso , Gregory Schehr

We study the motion of a one-dimensional run-and-tumble particle with three discrete internal states in the presence of a harmonic trap of stiffness $\mu.$ The three internal states, corresponding to positive, negative and zero velocities…

Statistical Mechanics · Physics 2020-02-19 Urna Basu , Satya N. Majumdar , Alberto Rosso , Sanjib Sabhapandit , Gregory Schehr

A harmonically trapped active Brownian particle exhibits two types of positional distributions -- one has a single peak, the other has a single well -- that signify steady-state dynamics with low and high activity, respectively. Adding…

We study the dynamics of a chirality reversing active Brownian particle, which models the chirality reversing active motion common in many microorganisms and microswimmers. We show that, for such a motion, the presence of the two…

Statistical Mechanics · Physics 2023-08-22 Santanu Das , Urna Basu

In this work, we report a new method to simulate active Brownian particles (ABPs) in molecular dynamics (MD) simulations. Immersed in a fluid, each ABP consists of a head particle and a spherical phantom region of fluid where the flagellum…

Soft Condensed Matter · Physics 2019-02-15 Liya Wang , Xinpeng Xu , Zhigang Li , Tiezheng Qian

We study the tagged particle dynamics in a harmonic chain of direction reversing active Brownian particles, with spring constant $k$, rotation diffusion coefficient $D_{\text{r}}$, and directional reversal rate $\gamma$. We exactly compute…

Statistical Mechanics · Physics 2025-03-14 Shashank Prakash , Urna Basu , Sanjib Sabhapandit

Active and diffusive motion in Brownian particles are regularly observed in fluidic environments, albeit at different time scales. Here, we experimentally study the dynamics of highly asymmetric microclusters trapped in air employing…

We present an exact analytical study of an Active Brownian Particle (ABP) subject to both position and orientation stochastic resetting in a two-dimensional harmonic trap. Utilizing a Fokker-Planck-based renewal approach, we derive the…

Statistical Mechanics · Physics 2025-08-21 Amir Shee

We propose a mean-field model of intermittent particle transport, where a particle may be in one of two phases: the first is an active (ballistic) phase, when a particle runs with constant velocity in some direction, and the second is a…

Statistical Mechanics · Physics 2017-10-24 Sergey A. Rukolaine

In this study, we investigate the behavior of inertial active Brownian particles in a $d$-dimensional harmonic trap in the presence of translational diffusion. While the solution of the Fokker-Planck equation is generally challenging, it…

Statistical Mechanics · Physics 2024-10-08 Manish Patel , Debasish Chaudhuri

In this work we have characterized the phase behaviour and the dynamics of bidimensional mixtures of active and passive Brownian particles. We have evaluated state diagrams at several concentrations of the passive components finding that,…

Soft Condensed Matter · Physics 2025-11-12 Diego Rogel Rodriguez , Francisco Alarcon , Raul Martinez , Jorge Ramirez , Chantal Valeriani
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