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We analyze the rectified motion of a Brownian particle in a confined environment. We show the emergence of strong cooperativity between the inherent rectification of the ratchet mechanism and the entropic bias of the fluctuations caused by…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Paolo Malgaretti , Ignacio Pagonabarraga , J. Miguel Rubi

We present a particle separation mechanism which induces motion of particles of different sizes in opposite directions. The mechanism is based on the combined action of a driving force and an entropic rectification of the Brownian…

Statistical Mechanics · Physics 2012-02-10 D. Reguera , A. Luque , P. S. Burada , G. Schmid , J. M. Rubí , P. Hänggi

We investigate the average velocity of Brownian particles driven by a constant external force when constrained to move in two-dimensional, weakly-corrugated channels. We consider both the geometric confinement of the particles between solid…

Soft Condensed Matter · Physics 2016-05-04 Xinli Wang , German Drazer

In systems possessing spatial or dynamical symmetry breaking, Brownian motion combined with symmetric external input signals, deterministic or random, alike, can assist directed motion of particles at the submicron scales. In such cases,…

Statistical Mechanics · Physics 2009-06-05 Peter Hanggi , Fabio Marchesoni

Transport of particles through channels is of paramount importance in physics, chemistry and surface science due to its broad real world applications. Much insights can be gained by observing the transition paths of a particle through a…

Statistical Mechanics · Physics 2023-04-12 Siddharth Jain , Denis Boyer , Arnab Pal , Leonardo Dagdug

This article deals with transport properties of one dimensional Brownian diffusion under the influence of a correlated quenched random force, distributed as a two-level Poisson process. We find in particular that large time scaling laws of…

Condensed Matter · Physics 2009-10-28 Cecile MONTHUS

Directed transport of interacting active (self-propelled)Brownian particles is numerically investigated in confined geometries (entropic barriers). The self-propelled velocity can break thermodynamical equilibrium and induce the directed…

Statistical Mechanics · Physics 2015-05-12 Bao-quan Ai , Ya-feng He , Wei-rong Zhong

The effect of curvature and how it induces and enhances the transport of colloidal particles driven through narrow channels represent an unexplored research avenue. Here we combine experiments and simulations to investigate the dynamics of…

In one-dimension, the diffusion of particles along a line is slowed by the addition of energy barriers. The same is true in two-dimensions, provided that the confining channel in which the particles move doesn't change shape. However, if…

Statistical Mechanics · Physics 2022-06-08 Thomas Gray , Claudio Castelnovo , Ee Hou Yong

We characterize the motion of charged as well as neutral tracers, in an electrolyte embedded in a varying section channel. We exploit a set of systematic approximations that allows us to simplify the problem, yet capturing the essential of…

Soft Condensed Matter · Physics 2015-05-20 Paolo Malgaretti , Ignacio Pagonabarraga , J. Miguel Rubi

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

We investigate the Brownian diffusion of particles in one spatial dimension and in the presence of finite regions within which particles can either evaporate or be reset to a given location. For open boundary conditions, we highlight the…

Statistical Mechanics · Physics 2020-11-04 Gennaro Tucci , Andrea Gambassi , Shamik Gupta , Édgar Roldán

Single-file transport in pore-like structures constitute an important topic for both theory and experiment. For hardcore interacting particles, a good understanding of the collective dynamics has been achieved recently. Here we study how…

Statistical Mechanics · Physics 2021-12-28 Alexander P. Antonov , Artem Ryabov , Philipp Maass

Properties of transport of molecular motors are investigated. A simplified model based on the concept of Brownian ratchets is applied. We analyze a stochastic equation of motion by means of numerical methods. The transport is systematically…

Statistical Mechanics · Physics 2011-12-07 Lukasz Machura , Marcin Kostur , Jerzy Luczka

We study dynamical properties of bouncing particles inside of channels with sinusoidal walls. Taking as parameters the amplitude and the phases between the walls we study the transmitivity and its dependence on these parameters. We find an…

Chaotic Dynamics · Physics 2007-05-23 Ivan Herrera , Alberto Mendoza , Eduardo S. Tututi

The diffusion of a system of ferromagnetic dipoles confined in a quasi-one-dimensional parabolic trap is studied using Brownian dynamics simulations. We show that the dynamics of the system is tunable by an in-plane external homogeneous…

Soft Condensed Matter · Physics 2013-01-15 D. Lucena , W. P. Ferreira , F. F. Munarin , G. A. Farias , F. M. Peeters

The physics of diffusion phenomena in nano and micro channels has attracted a lot of attention in recent years, due to its close connection with many technological, medical and industrial applications. In the present paper we employ a…

Soft Condensed Matter · Physics 2015-09-30 Umberto Marini Bettolo Marconi , Paolo Malgaretti , Ignacio Pagonabarraga

The problem of transport through nanochannels is one of the major questions in cell biology, with a wide range of applications. Brownian ratchets are fundamental in various biochemical processes, and are roughly divided into two categories:…

Soft Condensed Matter · Physics 2013-07-24 Anna Lappala , Alessio Zaccone , Eugene M. Terentjev

The effective diffusivity $D_e$ of tracer particles diffusing in periodically corrugated axisymmetric two and three dimensional channels is studied. The majority of previous studies of this class of problems are based on perturbative…

Statistical Mechanics · Physics 2017-09-20 M. Mangeat , T. Guérin , D. S. Dean

We consider the impact of inertia on biased Brownian motion of point particles in a two-dimensional channel with sinusoidally varying width. If the time scales of the problem separate, the adiabatic elimination of the transverse degrees of…

Statistical Mechanics · Physics 2012-03-20 Steffen Martens , Igor M. Sokolov , Lutz Schimansky-Geier