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We consider a system of two coupled particles evolving in a periodic and spatially symmetric potential under the influence of external driving and damping. The particles are driven individually in such a way that in the uncoupled regime,…

Chaotic Dynamics · Physics 2013-05-27 Colm Mulhern , Dirk Hennig , Andrew D. Burbanks

We study and characterize a new dynamical regime of underdamped particles in a tilted washboard potential. We find that for small friction in a finite range of forces the particles move essentially nondispersively, that is, coherently, over…

Statistical Mechanics · Physics 2015-06-25 Katja Lindenberg , J. M. Sancho , A. M. Lacasta , I. M. Sokolov

We study numerically the motion of a one dimensional array of Brownian particles in a washboard potential, driven by an external stochastic force and interacting via short range repulsive forces. In particular, we investigate the role of…

Statistical Mechanics · Physics 2009-11-11 Giulio Costantini , Fabio Cecconi , Umberto Marini-Bettolo-Marconi

We study the Hamiltonian dynamics of a one-dimensional chain of linearly coupled particles in a spatially periodic potential which is subjected to a time-periodic mono-frequency external field. The average over time and space of the related…

Statistical Mechanics · Physics 2009-11-13 Dirk Hennig

The nonintegrable Hamiltonian dynamics of particles placed in a symmetric, spatially periodic potential and subjected to a periodically varying field is explored. Such systems can exhibit a rich diversity of unusual transport features. In…

Chaotic Dynamics · Physics 2008-07-10 D. Hennig , L. Schimansky-Geier , P. Hänggi

Particle transport through an open, discrete 1-D channel against a mechanical or chemical bias is analyzed within a master equation approach. The channel, externally driven by time dependent site energies, allows multiple occupation due to…

Statistical Mechanics · Physics 2015-05-18 Mario Einax , Gemma Solomon , Wolfgang Dieterich , Abraham Nitzan

We study a driven system in which interaction between particles causes their directional, coupled movement. In that model system, two particles move alternatingly in time on two coupled chains. Without interaction, both particles diffuse…

Computational Physics · Physics 2023-08-10 Helena Drüeke , Dieter Bauer

We study a system of interacting particles in a periodically moving external potential, within the simplest possible description of paradigmatic symmetric exclusion process on a ring. The model describes diffusion of hardcore particles…

Statistical Mechanics · Physics 2014-04-17 Rakesh Chatterjee , Sakuntala Chatterjee , Punyabrata Pradhan , S. S. Manna

We demonstrate that repulsive power law interactions can induce directed transport of particles in dissipative, ac-driven periodic potentials, in regimes where the underlying noninteracting system exhibits localized oscillations.…

Pattern Formation and Solitons · Physics 2016-08-19 Benno Liebchen , Peter Schmelcher

A wide variety of tilted washboard potentials based on acoustic waves, electric fields, optical patterns and so on have been applied to sort particles in microchannels. In this paper, we present a theoretical analysis of the particles…

Fluid Dynamics · Physics 2019-02-26 Wei Wang , Jia Zhou , Antoine Riaud

We introduce a simple model consisting of two or three coupled one-dimensional channels of particles with Yukawa interactions. For the two channel system, when an external drive is applied only to the top or primary channel, we find a…

Soft Condensed Matter · Physics 2015-05-20 C. Reichhardt , C. Bairnsfather , C. J. Olson Reichhardt

We study directed transport of overdamped particles in a periodically rocked random sawtooth potential. Two transport regimes can be identified which are characterized by a nonzero value of the average velocity of particles and a zero…

Disordered Systems and Neural Networks · Physics 2009-05-18 S. I. Denisov , T. V. Lyutyy , E. S. Denisova , P. Hänggi , H. Kantz

We consider motion of an underdamped Brownian particle in a washboard potential that is subjected to an unbiased time-periodic external field. While in the limiting deterministic system in dependence of the strength and phase of the…

Statistical Mechanics · Physics 2011-02-07 D. Hennig , L. Schimansky-Geier , P. Hänggi

We consider the unidirectional particle transport in a suspension of colloidal particles which interact with each other via a pair potential having a hard-core repulsion plus an attractive tail. The colloids are confined within a long…

Soft Condensed Matter · Physics 2011-06-24 Andrey Pototsky , Andrew J. Archer , Sergey E. Savel'ev , Uwe Thiele , Fabio Marchesoni

We investigate the dynamics of Brownian particles in internal state- dependent symmetric and periodic potentials. Although no space or time symmetry of the Hamiltonian is broken, we show that directed transport can appear. We demonstrate…

Other Condensed Matter · Physics 2009-11-10 Laurent Sanchez-Palencia

We investigate the dynamics of a classical particle in a one-dimensional two-wave potential composed of two periodic potentials, that are time-independent and of the same amplitude and periodicity. One of the periodic potentials is…

Condensed Matter · Physics 2009-10-31 Markus Porto , Michael Urbakh , Joseph Klafter

We consider motion of an overdamped Brownian particle in a washboard potential exerted to a static tilting force. The bias yields directed net particle motion, i.e. a current. It is demonstrated that with an additional time-delayed feedback…

Statistical Mechanics · Physics 2011-02-07 Dirk Hennig

We study the rectified transport of underdamped active noninteracting particles in an asymmetric periodic potential. It is found that the ratchet effect of active noninteracting particles occurs in a single direction (along the easy…

Soft Condensed Matter · Physics 2017-03-30 Bao-quan Ai , Feng-guo Li

Periodically driven systems can lead to a directed motion of particles. We investigate this ratchet effect for a bosonic Mott insulator where both a staggered hopping and a staggered local potential vary periodically in time. If driving…

Quantum Gases · Physics 2014-11-25 Maximilian Genske , Achim Rosch

We study the drift of suspended micro-particles in a viscous liquid pumped back and forth through a periodic lattice of pores (drift ratchet). In order to explain the particle drift observed in such an experiment, we present an…

Fluid Dynamics · Physics 2012-05-22 Philippe Beltrame , Peter Talkner , Peter Hänggi
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