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Related papers: Dynamics of sedimenting active Brownian particles

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We study dynamical properties of confined, self-propelled Brownian particles in an inhomogeneous activity profile. Using Brownian dynamics simulations, we calculate the probability to reach a fixed target and the mean first passage time to…

Soft Condensed Matter · Physics 2019-08-30 Hidde Vuijk , Abhinav Sharma , Debasish Mondal , Jens-Uwe Sommer , Holger Merlitz

We study single-variable approaches for describing stochastic dynamics with small inertia. The basic models we deal with describe passive Brownian particles and phase elements (phase oscillators, rotators, superconducting Josephson…

Statistical Mechanics · Physics 2025-12-23 Denis S. Goldobin , Lyudmila S. Klimenko , Irina V. Tyulkina , Vasily A. Kostin , Lev A. Smirnov

We investigate a model for a Stirling-like engine consisting of a passive Brownian particle confined by a harmonic potential and interacting with a suspension of active Brownian particles that self-propel in a viscous solvent, which…

Soft Condensed Matter · Physics 2022-12-06 Carlos Antonio Guevara-Valadez , Rahul Marathe , Juan Ruben Gomez-Solano

Elastic confinements are an important component of many biological systems and dictate the transport properties of suspended particles under flow. In this chapter, we review the Brownian motion of a particle moving in the vicinity of a…

Soft Condensed Matter · Physics 2022-10-28 Abdallah Daddi-Moussa-Ider , Stephan Gekle

We study a model of rolling particles subject to stochastic fluctuations, which may be relevant in systems of nano- or micro-scale particles where rolling is an approximation for strong static friction. We consider the simplest possible…

Mathematical Physics · Physics 2016-10-04 Miranda Holmes-Cerfon

The present work analyzes stationary distributions of active Brownian particles in a harmonic trap. Generally, obtaining stationary distributions for this system is non-trivial, and up to date no exact expressions are available. In this…

Statistical Mechanics · Physics 2023-12-12 Derek Frydel

We present a mesoscopic hydrodynamic description of the dynamics of colloidal suspensions. We consider the system as a gas of Brownian particles suspended in a Newtonian heat bath subjected to stationary non-equilibrium conditions imposed…

Statistical Mechanics · Physics 2009-11-11 S. I. Hernandez , I. Santamaria-Holek , Carlos I. Mendoza , L. F. del Castillo

Most classical work on the hydrodynamics of low-Reynolds-number swimming addresses deterministic locomotion in quiescent environments. Thermal fluctuations in fluids are known to lead to a Brownian loss of the swimming direction. As most…

Fluid Dynamics · Physics 2014-06-18 Mario Sandoval , Navaneeth K. M. , Ganesh Subramanian , Eric Lauga

Starting from the many-particle Smoluchowski equation, we derive dynamical density functional theory for Brownian particles with an arbitrary shape. Both passive and active (self-propelled) particles are considered. The resulting theory…

Soft Condensed Matter · Physics 2014-01-28 Raphael Wittkowski , Hartmut Löwen

We study Brownian motion driven with both conservative and nonconservative external forces. By using the thermodynamic approach of the theory of Brownian motion we obtain the Fokker-Planck equation and derive expressions for the Fluctuation…

Statistical Mechanics · Physics 2009-11-13 A. Perez-Madrid , I. Santamaria-Holek

We study the motion of a solid particle immersed in a Newtonian fluid and confined between two parallel elastic membranes possessing shear and bending rigidity. The hydrodynamic mobility depends on the frequency of the particle motion due…

Fluid Dynamics · Physics 2016-08-03 Abdallah Daddi-Moussa-Ider , Achim Guckenberger , Stephan Gekle

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

Dynamics of complex systems is often hierarchically organized on different time scales. To understand the physics of such hierarchy, here Brownian motion of a particle moving through a fluctuating medium with slowly varying temperature is…

Statistical Mechanics · Physics 2014-02-14 Sumiyoshi Abe

We solve the problem of formulating Brownian motion in a relativistically covariant framework in 1+1 and 3+1 dimensions. We obtain covariant Fokker-Planck equations with (for the isotropic case) a differential operator of invariant…

Classical Physics · Physics 2007-05-23 O. Oron , L. P. Horwitz

In the high persistence regime of non-inertial active Brownian particles (ABP), polarization becomes a relevant dynamical field. Based on a recently proposed kinetic description for ABP, we derive Navier-Stokes-like equations for the…

Soft Condensed Matter · Physics 2025-10-21 Martín Pinto-Goldberg , Rodrigo Soto

Based on Brownian Dynamics (BD) simulations, we study the dynamical self-assembly of active Brownian particles with dipole-dipole interactions, stemming from a permanent point dipole at the particle center. The propulsion direction of each…

Soft Condensed Matter · Physics 2021-06-09 Guo-Jun Liao , Carol K. Hall , Sabine H. L. Klapp

We study two Brownian particles in dimension $d=1$, diffusing under an interacting resetting mechanism to a fixed position. The particles are subject to a constant drift, which biases the Brownian particles toward each other. We derive the…

Statistical Mechanics · Physics 2017-02-15 Ricardo Falcao , Martin R. Evans

Control of stochastic systems is a challenging open problem in statistical physics, with potential applications in a wealth of systems from biology to granulates. Unlike most cases investigated so far, we aim here at controlling a genuinely…

Statistical Mechanics · Physics 2024-01-09 Marco Baldovin , David Guéry-Odelin , Emmanuel Trizac

While the dynamics of polymer chains in equilibrium media is well understood by now, the polymer dynamics in active non-equilibrium environments can be very different. Here we study the dynamics of polymers in a viscous medium containing…

Soft Condensed Matter · Physics 2017-06-23 Jaeoh Shin , Andrey G. Cherstvy , Won Kyu Kim , Vasily Zaburdaev

Particle-particle interactions in sedimenting systems have been investigated in the present study considering the many-body hydrodynamic and electrodynamic interactions. These interactions primarily occur in two modes: near-field and…

Fluid Dynamics · Physics 2016-05-04 Sagardip Majumder , Jayabrata Dhar , Suman Chakraborty
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