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The celebrated Sutherland-Einstein relation for systems at thermal equilibrium states that spread of trajectories of Brownian particles is an increasing function of temperature. Here, we scrutinize diffusion of underdamped Brownian motion…

Statistical Mechanics · Physics 2020-04-22 J. Spiechowicz , J. Luczka

Single-file transport occurs in various scientific fields, including diffusion through nanopores, nanofluidic devices, and cellular processes. We here investigate the impact of polydispersity on particle currents for single-file Brownian…

Statistical Mechanics · Physics 2023-10-30 David Voráč , Philipp Maass , Artem Ryabov

The behavior of the self diffusion constant of Langevin particles interacting via a pairwise interaction is considered. The diffusion constant is calculated approximately within a perturbation theory in the potential strength about the bare…

Soft Condensed Matter · Physics 2009-11-10 D. S. Dean , A. Lefèvre

The diffusion properties of self-propelled particles which move at constant speed and, in addition, reverse their direction of motion repeatedly are investigated. The internal dynamics of particles triggering these reversal processes is…

Biological Physics · Physics 2016-05-30 Robert Großmann , Fernando Peruani , Markus Bär

We introduce a model of self-propelled particles carrying out a Brownian motion with a diffusion coefficient which depends on the local density of particles within a certain finite radius. Numerical simulations show that in a range of…

Statistical Mechanics · Physics 2009-11-11 Cristobal Lopez

Particle diffusion in rotating drums is studied via computer simulations using a full 3-D model which does not involve any arbitrary input parameters. The diffusion coefficient for single-component systems agree qualitatively with previous…

Condensed Matter · Physics 2009-10-28 G. A. Kohring

We investigate a trapping mechanism for passive Brownian particles based on mixtures with self-propelled dipolar colloids. Active dipoles, whose magnetic moment is oriented perpendicularly to their propulsion direction, spontaneously form…

Soft Condensed Matter · Physics 2025-09-18 Arnaud Compagnie , Nicolas Vandewalle , Eric Opsomer

The dynamics of hard-core interacting Brownian particles in an external potential field is studied in one dimension. Using the Jepsen line we find a very general and simple formula relating the motion of the tagged center particle, with the…

Statistical Mechanics · Physics 2010-04-22 E. Barkai , R. Silbey

The diffusion of uni-directional magnetic fields by two dimensional turbulent flows in a weakly ionized gas is studied. The fields here are orthogonal to the plane of fluid motion. This simple model arises in the context of the decay of the…

Astrophysics · Physics 2009-11-07 Eun-jin Kim , P. H. Diamond

We present a numerical investigation of the Brownian motion and diffusion of a dumbbell in a two-dimensional periodic potential. Its dynamics is described by a Langevin model including the hydrodynamic interaction. With increasing values of…

Classical Physics · Physics 2008-09-02 Jochen Bammert , Steffen Schreiber , Walter Zimmermann

Probing the transport of fluids within confined domains is important in many areas including material science, catalysis, food science, and cell biology. The diffusion propagator fully characterizes the diffusion process, which is highly…

A Brownian particle floating in a narrow corrugated (sinusoidal) channel with fluctuating cross section exhibits non-Gaussian normal diffusion. Its displacements are distributed according to a Gaussian law for very short and asymptotically…

Statistical Mechanics · Physics 2019-10-09 Yunyun Li , Fabio Marchesoni , Debajyoti Debnath , Pulak K. Ghosh

We report video-microscopy measurements of the translational and rotational Brownian motions of isolated ellipsoidal particles in quasi-two-dimensional sample cells of increasing thickness. The long-time diffusion coefficients were measured…

Soft Condensed Matter · Physics 2009-03-10 Y. Han , A. Alsayed , M. Nobili , A. G. Yodh

Many important properties of granular fluids can be represented by a system of hard spheres with inelastic collisions. Traditional methods of nonequilibrium statistical mechanics are effective for analysis and description of the inelastic…

Soft Condensed Matter · Physics 2009-11-07 James W. Dufty , J. Javier Brey , James Lutsko

We analyze the diffusive transport of Brownian particles in narrow channels with periodically varying cross-section. The geometrical confinements lead to entropic barriers, the particle has to overcome in order to proceed in transport…

Statistical Mechanics · Physics 2012-01-06 P. S. Burada , G. Schmid , Y. Li , P. Hanggi

The ground state of colloidal magnetic particles in a modulated channel are investigated as function of the tilt angle of an applied magnetic field. The particles are confined by a parabolic potential in the transversal direction while in…

Soft Condensed Matter · Physics 2014-04-02 J. E. Galván-Moya , D. Lucena , W. P. Ferreira , F. M. Peeters

We consider Brownian particles immersed in the fluid which flow is turbulent. We study the limit where the particles' inertia is weak and their velocity relaxes fast to the velocity of the flow. The trajectories of the particles in this…

Chaotic Dynamics · Physics 2011-10-25 Itzhak Fouxon , Eugene Mednikov

Evidence suggests that the transport rate of a passive particle at long timescales is enhanced due to interactions with the surrounding active ones in a size- and composition-dependent manner. Using a system of particles with different…

Soft Condensed Matter · Physics 2021-07-14 Efe Ilker , Michele Castellana , Jean-François Joanny

We present the theoretical analysis of the steady state currents and density distributions of particles moving with Langevin dynamics, under the effects of an external potential displaced at constant rate. The Dynamic Density Functional…

Soft Condensed Matter · Physics 2009-11-10 F. Penna , P. Tarazona

In the absence of advection, confined diffusion characterizes transport in many natural and artificial devices, such as ionic channels, zeolites, and nanopores. While extensive theoretical and numerical studies on this subject have produced…

Soft Condensed Matter · Physics 2017-09-19 Xiang Yang , Chang Liu , Yunyun Li , Fabio Marchesoni , Peter Hänggi , H. P. Zhang