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We study impact of inertia on directed transport of a Brownian particle under non-equilibrium conditions: the particle moves in a one-dimensional periodic and symmetric potential, is driven by both an unbiased time-periodic force and a…

Statistical Mechanics · Physics 2021-03-25 Aleksandra Słapik , Jerzy Łuczka , Jakub Spiechowicz

We study the Brownian motion of a classical particle in one-dimensional inhomogeneous environments where the transition probabilities follow quasiperiodic or aperiodic distributions. Exploiting an exact correspondence with the…

Statistical Mechanics · Physics 2009-10-31 F. Igloi , L. Turban , H. Rieger

A Brownian particle's random motions can be rectified by a periodic potential energy landscape that alternates between two states, even if both states are spatially symmetric. If the two states differ only by a discrete translation, the…

Soft Condensed Matter · Physics 2009-11-11 Sang-Hyuk Lee , David G. Grier

Transport phenomena in spatially periodic systems far from thermal equilibrium are considered. The main emphasize is put on directed transport in so-called Brownian motors (ratchets), i.e. a dissipative dynamics in the presence of thermal…

Statistical Mechanics · Physics 2009-10-31 Peter Reimann

In this work, the ratchet dynamics of Brownian particles driven by an external sinusoidal (harmonic) force is investigated. The gating ratchet effect is observed when another harmonic is used to modulate the spatially symmetric potential in…

Statistical Mechanics · Physics 2015-03-24 Luis Dinis , Niurka R. Quintero

We show the existence of a resonant behavior of the current of Brownian particles confined in a pulsating channel. The interplay between the periodic oscillations of the shape of the channel and a force applied along its axis leads to an…

Soft Condensed Matter · Physics 2016-12-15 M. Florencia Carusela , J. Miguel Rubí

Using extensive numerical studies we demonstrate that absolute negative mobility of a Brownian particle (i.e. the net motion into the direction opposite to a constant biasing force acting around zero bias) does coexist with anomalous…

Statistical Mechanics · Physics 2019-09-04 J. Spiechowicz , P. Hänggi , J. Łuczka

Transport of overdamped Brownian particles in a two-dimensional asymmetric tube is investigated in the presence of nonadiabatic periodic driving forces. By using Brownian dynamics simulations we can find that the phenomena in nonadiabatic…

Soft Condensed Matter · Physics 2015-05-18 Bao-quan Ai

We study motion of a quantum wavepacket in a one-dimensional potential with correlated disorder. Presence of long-range potential correlations allows for existence of both localized and extended states. Weak time-dependent perturbation in…

Disordered Systems and Neural Networks · Physics 2015-02-09 Denis Makarov , Leonid Kon'kov

There is a growing interest in the stochastic processes of nonequilibrium systems subject to non-conserved forces, such as the magnetic forces acting on charged particles and the chiral self-propelled force acting on active particles. In…

Statistical Mechanics · Physics 2021-12-15 Hiromichi Matsuyama , Kunimasa Miyazaki

We study the phenomena of noise induced transport in frictional ratchet systems. For this we consider a Brownian particle moving in a space dependent frictional medium in the presence of external white noise fluctuations. To get the…

Statistical Mechanics · Physics 2009-07-13 Raishma Krishnan , Debasis Dan , A. M. Jayannavar

We study transport properties of an inertial Brownian particle moving in viscous symmetric periodic structures and driven by an oscillating signal of two harmonic components. We analyze the influence of symmetric, antisymmetric and…

Statistical Mechanics · Physics 2010-10-26 Lukasz Machura , Marcin Kostur , Jerzy Luczka

We study the driven Brownian motion of hard rods in a one-dimensional cosine potential with an amplitude large compared to the thermal energy. In a closed system, we find surprising features of the steady-state current in dependence of the…

Statistical Mechanics · Physics 2018-10-24 Dominik Lips , Artem Ryabov , Philipp Maass

Directed transport of overdamped Brownian particles in an asymmetrically periodic tube is investigated in the presence of the tube wall vibration. From the Brownian dynamics simulations we can find that the perpendicular wall vibration can…

Statistical Mechanics · Physics 2015-05-20 Bao-quan Ai

The movement of a Brownian particle in a fluctuating two-state periodic potential is investigated. At high transition rate, we use a perturbation method to obtain the analytical solution of the model. It is found that the net current is a…

Biological Physics · Physics 2007-09-17 Bao-Quan Ai , Liqiu Wang , Liang-Gang Liu

We address the problem of the classical deterministic dynamics of a particle in a periodic asymmetric potential of the ratchet type. We take into account the inertial term in order to understand the role of the chaotic dynamics in the…

chao-dyn · Physics 2009-10-31 Jose L. Mateos

We study transport of an inertial Brownian particle moving in a symmetric and periodic one-dimensional potential, and subjected to both a symmetric, unbiased external harmonic force as well as biased dichotomic noise $\eta(t)$ also known as…

Statistical Mechanics · Physics 2016-06-22 J. Spiechowicz , J. Luczka , L. Machura

We revisit the problem of transport of a harmonically driven inertial particle moving in a {\it symmetric} periodic potential, subjected to {\it unbiased} non-equilibrium generalized white Poissonian noise and coupled to thermal bath.…

Statistical Mechanics · Physics 2016-06-01 J. Spiechowicz , J. Luczka

Statistical properties of Brownian motion that arise by analyzing, separately, trajectories over which the system energy increases (upside) or decreases (downside) with respect to a threshold energy level, are derived. This selective…

Statistical Mechanics · Physics 2019-08-02 Galen T. Craven , Abraham Nitzan

We consider the collective motion of finite-sized, overdamped Brownian particles (e.g., motor proteins) in a periodic potential. Simulations of our model have revealed a number of novel cooperative transport phenomena, including (i) the…

Statistical Mechanics · Physics 2009-10-31 Imre Derenyi , Tamas Vicsek