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We study the dynamics of the separation (gap) between a pair of interacting run and tumble particles (RTPs) moving in one dimension in the presence of additional thermal noise. On a ring geometry the distribution of the gap approaches a…

Statistical Mechanics · Physics 2020-08-26 Arghya Das , Abhishek Dhar , Anupam Kundu

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 transport phenomenon(directional movement) of self-propelled Brownian particles moving in a smooth corrugated confined channel is investigated. It is found that large $x$ direction noise intensity should reduce particles directional…

Soft Condensed Matter · Physics 2019-10-23 Bing Wang , Hao Chen , Yong Wu

Active Brownian particles (ABPs) represent a minimal model of active matter consisting of self-propelled spheres with purely repulsive interactions and rotational noise. Here, we examine the pressure of ABPs in two dimensions in both closed…

Soft Condensed Matter · Physics 2017-01-11 Adam Patch , David Yllanes , M. Cristina Marchetti

We present a scheme for producing tunable active dynamics in a self-propelled robotic device. The robot moves using the differential drive mechanism where two wheels can vary their instantaneous velocities independently. These velocities…

Soft Condensed Matter · Physics 2024-05-27 Somnath Paramanick , Arnab Pal , Harsh Soni , Nitin Kumar

Self-propelled particles serve as minimal models for emulating the dynamic self-organization of microorganisms, yet most synthetic systems remain limited to a single mode of motion, namely active Brownian particles (ABPs). Here, we present…

The Active Brownian Particle (ABP) model has become a prototype of self-propelled particles. ABPs move persistently at a constant speed $V$ along a direction that changes slowly by rotational diffusion, characterized by a coefficient $\Dr$.…

Soft Condensed Matter · Physics 2025-03-11 Rodrigo Soto

The analysis of single particle trajectories plays an important role in elucidating dynamics within complex environments such as those found in living cells. However, the characterization of intracellular particle motion is often confounded…

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

Active Brownian particles (ABPs) are termed out to be a successful way of modeling the moving microorganism on the substrate. In recent studies, it is shown that such organisms can sense the characteristics of the substrate. Motivated by…

Soft Condensed Matter · Physics 2023-10-31 Pawan Kumar Mishra , Ajeya Krishna , Shradha Mishra

We study the nonequilibrium stationary state of a one-dimensional inertial run-and-tumble particle (IRTP) trapped in a harmonic potential. We find that the presence of inertia leads to two distinct dynamical scenarios, namely, overdamped…

Statistical Mechanics · Physics 2025-05-21 Debraj Dutta , Anupam Kundu , Sanjib Sabhapandit , Urna Basu

Active matter exhibits many intriguing non-equilibrium character, \emph{e.g.}, the active Brownian particles (ABP) without any attractive and aligned interactions can occur the mobility-induced phase transition to form some dense domains…

Soft Condensed Matter · Physics 2023-05-24 Cheng Yang , Ying Zeng , Shun Xu , Xin Zhou

Combining experiments on active colloids, whose propulsion velocity can be controlled via a feedback loop, and theory of active Brownian motion, we explore the dynamics of an overdamped active particle with a motility that depends…

Inspired by groups of animals and robots, we study the collective dynamics of large numbers of active particles, each one trying to get to its own randomly placed target, while avoiding collisions with each other. The particles we study are…

Statistical Mechanics · Physics 2022-11-09 Mathias Casiulis , Dov Levine

We study the dynamics of a one-dimensional run and tumble particle subjected to confining potentials of the type $V(x) = \alpha \, |x|^p$, with $p>0$. The noise that drives the particle dynamics is telegraphic and alternates between $\pm 1$…

Statistical Mechanics · Physics 2022-06-22 Abhishek Dhar , Anupam Kundu , Satya N. Majumdar , Sanjib Sabhapandit , Grégory Schehr

A one-dimensional run-and-tumble particle (RTP) switches randomly between a left and right moving state of constant speed $v$. This type of motion arises in a wide range of applications in cell biology, including the unbiased growth and…

Statistical Mechanics · Physics 2021-02-23 Paul C Bressloff

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 investigate the influence of an external magnetic field (torque) on the motion of Brownian particles confined in a channel geometry with varying width. Furthermore, the particles are driven by random fluctuations modeled by the…

Biological Physics · Physics 2012-05-10 Paul K. Radtke , Lutz Schimansky-Geier

In this study, we investigate the behavior of free inertial Active Brownian Particles (ABP) in the presence of thermal noise. While finding a closed-form solution for the joint distribution of positions, orientations, and velocities using…

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

Run-and-tumble dynamics is a wide-spread mechanism of swimming bacteria. The accumulation of run-and-tumble microswimmers near impermeable surfaces is studied theoretically and numerically in the low-density limit in two and three spatial…

Statistical Mechanics · Physics 2015-03-29 Jens Elgeti , Gerhard Gompper