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We study the induced dynamics of an inertial tracer particle elastically coupled to passive or active Brownian particles. We integrate out the environment degrees of freedom to obtain generalized Langevin equation for the tracer dynamics in…

Statistical Mechanics · Physics 2023-08-16 Ion Santra

Brownian motion of single particles with various masses M and diameters D is studied by molecular dynamics simulations. Besides the momentum auto-correlation function of the Brownian particle the memory function and the fluctuating force…

Chemical Physics · Physics 2015-05-20 Hyun Kyung Shin , Changho Kim , Peter Talkner , Eok Kyun Lee

We present a hydrodynamic theory for systems of dipolar active Brownian particles which, in the regime of weak dipolar coupling, predicts the onset of motility-induced phase separation (MIPS), consistent with Brownian dynamics (BD)…

Soft Condensed Matter · Physics 2022-03-29 Elena Sesé-Sansa , Guo-Jun Liao , Demian Levis , Ignacio Pagonabarraga , Sabine H. L. Klapp

The swimming of an assembly of rigid spheres immersed in a viscous fluid of infinite extent is studied in low Reynolds number hydrodynamics. The instantaneous swimming velocity and rate of dissipation are expressed in terms of the…

Fluid Dynamics · Physics 2015-05-25 B. U. Felderhof

Brownian motion imposes a hard limit on the overall precision of a nanomechanical measurement. Here, we present a combined experimental and theoretical study of the Brownian dynamics of a quintessential nanomechanical system, a…

We experimentally study the motion of light-activated colloidal microswimmers in a viscoelastic fluid. We find that, in such a non-Newtonian environment, the active colloids undergo an unexpected transition from enhanced angular diffusion…

Soft Condensed Matter · Physics 2018-08-21 N Narinder , Clemens Bechinger , Juan Ruben Gomez-Solano

Although the dynamics of colloids in the vicinity of a solid interface has been widely characterized in the past, experimental studies of Brownian diffusion close to an air-water interface are rare and limited to particle-interface gap…

Soft Condensed Matter · Physics 2022-11-11 Stefano Villa , Christophe Blanc , Abdallah Daddi-Moussa-Ider , Antonio Stocco , Maurizio Nobili

In this article, we consider a swimmer (i.e. a self-deformable body) immersed in a fluid, the flow of which is governed by the stationary Stokes equations. This model is relevant for studying the locomotion of microorganisms or micro robots…

Analysis of PDEs · Mathematics 2012-03-19 Jérôme Lohéac , Alexandre Munnier

Microswimmers typically operate in complex environments. In biological systems, often diverse species are simultaneously present and interact with each other. Here, we derive a (time-dependent) particle-scale statistical description, namely…

Soft Condensed Matter · Physics 2019-08-13 Christian Hoell , Hartmut Löwen , Andreas M. Menzel

We study the properties of arbitrary micro-swimmers towing a passive load through a viscous liquid. The simple close-form expression for the dragging efficiency of a general micro-swimmer dragging a distant load is found, and the leading…

Fluid Dynamics · Physics 2015-05-13 Oren Raz , Alexander M. Leshansky

With the continuing rapid development of artificial microrobots and active particles, questions of microswimmer guidance and control are becoming ever more relevant and prevalent. In both the applications and theoretical study of such…

Soft Condensed Matter · Physics 2021-06-03 Clément Moreau , Kenta Ishimoto , Eamonn A. Gaffney , Benjamin J. Walker

Microswimmers play an important role in shaping the world around us. The squirmer is a simple model for microswimmer whose cilia oscillations on its spherical surface induce an effective slip velocity to propel itself. The rapid development…

Fluid Dynamics · Physics 2024-11-22 Xinwei Cai , Kuiliang Wang , Gaojin Li , Xin Bian

We outline a reduction scheme for a class of Brownian dynamics which leads to meaningful corrections to the Smoluchowski equation in the overdamped regime. The mobility coefficient of the reduced dynamics is obtained by exploiting the…

Statistical Mechanics · Physics 2022-05-19 Matteo Colangeli , Adrian Muntean

We consider two interacting particles on the circle. The particles are subject to stochastic forcing, which is modeled by white noise. In addition, one of the particles is subject to friction, which models energy dissipation due to the…

Probability · Mathematics 2025-10-29 Dmitry Dolgopyat , Bassam Fayad , Leonid Koralov , Shuo Yan

Active Brownian particles are capable of taking up energy from their environment and converting it into directed motion; examples range from chemotactic cells and bacteria to artificial micro-swimmers. We have recently demonstrated that…

Soft Condensed Matter · Physics 2012-06-29 Ivo Buttinoni , Giovanni Volpe , Felix Kümmel , Giorgio Volpe , Clemens Bechinger

External forces acting on a microswimmer can feed back on its self-propulsion mechanism. We discuss this load response for a generic microswimmer that swims by cyclic shape changes. We show that the change in cycle frequency is proportional…

Biological Physics · Physics 2018-05-02 Benjamin M. Friedrich

Many biological microswimmers locomote by periodically beating the densely-packed cilia on their cell surface in a wave-like fashion. While the swimming mechanisms of ciliated microswimmers have been extensively studied both from the…

Soft Condensed Matter · Physics 2023-06-22 Hanliang Guo , Hai Zhu , Ruowen Liu , Marc Bonnet , Shravan Veerapaneni

The system consists of a Brownian particle immersed in a heat bath trapped in optical tweezers with a time-dependent strength acting as an external protocol. In [Phys. Rev. Letts., 98:108301, 2007] the optimal mean work in the overdamped…

Statistical Mechanics · Physics 2023-02-03 Pedro J. Colmenares , Oscar Paredes-Altuve

In the Ermak-McCammon algorithm for Brownian Dynamics, the hydrodynamic interactions (HI) between N spherical particles are described by a 3N x 3N diffusion tensor. This tensor has to be factorized at each timestep with a runtime of O(N^3),…

Soft Condensed Matter · Physics 2009-11-13 Tihamer Geyer , Uwe Winter

We develop a theoretical framework to study the effective dynamics of a tracer immersed in a nonequilibrium bath consisting of active particles. By using a mean-field approximation and extending the linearized Dean equation to…

Statistical Mechanics · Physics 2021-10-04 Mengkai Feng , Zhonghuai Hou