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The dynamics of Brownian motion has widespread applications extending from transport in designed micro-channels up to its prominent role for inducing transport in molecular motors and Brownian motors. Here, Brownian transport is studied in…

Statistical Mechanics · Physics 2008-07-18 P. S. Burada , G. Schmid , P. Talkner , P. Hänggi , D. Reguera , J. M. Rubí

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…

We investigate the nonequilibrium dynamics of spherical active Brownian particles in three spatial dimensions that interact via a pair potential. The investigation is based on a predictive local field theory that is derived by a rigorous…

Soft Condensed Matter · Physics 2020-08-19 Jens Bickmann , Raphael Wittkowski

Motion of active particles, such as catalytic micro- and nano-motors, is usually characterized via either dynamic light scattering or optical microscopy. In both cases, speed of particles is obtained from the calculus of the mean square…

Dynamics of active or self-propulsive Brownian particles in nonequilibrium status, has recently attracted great interest in many fields including biological entities and artificial micro/nanoscopic motors6. Understanding of their dynamics…

Soft Condensed Matter · Physics 2017-01-18 Xuewen Fu , Bin Chen , Jau Tang , Ahmed H. Zewail

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

The propagation of light in a scattering medium is described as the motion of a special kind of a Brownian particle on which the fluctuating forces act only perpendicular to its velocity. This enforces strictly and dynamically the…

Disordered Systems and Neural Networks · Physics 2009-10-31 S. Anantha Ramakrishna , N. Kumar

We study the dynamics of a self-propelled particle advected by a steady laminar flow. The persistent motion of the self-propelled particle is described by an active Ornstein-Uhlenbeck process. We focus on the diffusivity properties of the…

Statistical Mechanics · Physics 2020-03-17 Lorenzo Caprini , Fabio Cecconi , Andrea Puglisi , Alessandro Sarracino

We study the two-dimensional overdamped motion of an active particle whose orientational dynamics is subject to fractional Brownian noise, whereas its position is affected by self-propulsion and Brownian fluctuations. From a Langevin-like…

Statistical Mechanics · Physics 2020-07-21 Juan Ruben Gomez-Solano , Francisco J. Sevilla

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

Nonergodicity observed in single-particle tracking experiments is usually modeled by transient trapping rather than spatial disorder. We introduce models of a particle diffusing in a medium consisting of regions with random sizes and random…

Soft Condensed Matter · Physics 2014-09-23 P. Massignan , C. Manzo , J. A. Torreno-Pina , M. F. García-Parajo , M. Lewenstein , G. J. Lapeyre

Using Brownian dynamics simulations we perform a systematic investigation of the shear-induced migration of colloidal particles subject to Poiseuille flow in both cylindrical and planar geometry. We find that adding an attractive component…

Soft Condensed Matter · Physics 2017-12-27 P. Marmet , A. Scacchi , J. M. Brader

The random motion of a Brownian particle confined in some finite domain is considered. Quite generally, the relevant statistical properties involve infinite series, whose coefficients are related to the eigenvalues of the diffusion…

Statistical Mechanics · Physics 2010-04-26 Thomas Bickel

We derive the hydrodynamic equations of motion for a fluid of active particles described by under- damped Langevin equations that reduce to the Active-Brownian-Particle model, in the overdamped limit. The contraction into the hydrodynamic…

Statistical Mechanics · Physics 2017-06-07 Stefano Steffenoni , Gianmaria Falasco , Klaus Kroy

The stochastic motion of a two-dimensional vesicle in linear shear flow is studied at finite temperature. In the limit of small deformations from a circle, Langevin-type equations of motion are derived, which are highly nonlinear due to the…

Soft Condensed Matter · Physics 2009-11-13 Reimar Finken , Antonio Lamura , Udo Seifert , Gerhard Gompper

In this paper, we analyze the dynamics of an $N$ particles system evolving according the gradient flow of an energy functional. The particle system is a consistent approximation of the Lagrangian formulation of a one parameter family of…

Dynamical Systems · Mathematics 2013-01-31 V. Calvez , L. Corrias

In this paper, the first microscopic approach to the Brownian motion is developed in the case where the mass density of the suspending bath is of the same order of magnitude as that of the Brownian (B) particle. Starting from an extended…

Condensed Matter · Physics 2009-10-28 Lydéric Bocquet , Jarosław Piasecki

We study the statistical properties of the time-averaged mean-square displacements (TAMSD). This is a standard non-local quadratic functional for inferring the diffusion coefficient from an individual random trajectory of a diffusing tracer…

Statistical Mechanics · Physics 2020-01-03 Alexei Andreanov , Denis Grebenkov

The dynamical behavior for a quantum Brownian particle is investigated under a random potential of the fractional iterative map on a one-dimensional lattice. For our case, the quantum expectation values can be obtained numerically from the…

Statistical Mechanics · Physics 2007-05-23 Kyungsik Kim , Y. S. Kong , M. K. Yum , J. T. Kim

A stochastic Langevin equation is derived, describing the thermal motion of a molecule immersed in a rested fluid of identical molecules. The fluctuation-dissipation theorem is proved and a number of correlation characteristics of the…

Statistical Mechanics · Physics 2014-11-11 Roumen Tsekov