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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 demonstrate a Brownian motor, based on cold atoms in optical lattices, where isotropic random fluctuations are rectified in order to induce controlled atomic motion in arbitrary directions. In contrast to earlier demonstrations of…

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

We study the influence of the lattice topography and the coupling between motion in different directions, for a three-dimensional Brownian motor based on cold atoms in a double optical lattice. Due to controllable relative spatial phases…

Atomic Physics · Physics 2008-01-23 H. Hagman , C. M. Dion , P. Sjolund , S. J. H. Petra , A. Kastberg

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

We demonstrate the directed transport of underdamped particles in two dimensional lattices of arbitrary geometry driven by an unbiased ac-driving force. The direction of transport can be controlled via the lattice geometry as well as the…

Statistical Mechanics · Physics 2020-03-18 Aritra K. Mukhopadhyay , Peter Schmelcher

We study a Brownian motor, based on cold atoms in optical lattices, where atomic motion can be induced in a controlled manner in an arbitrary direction, by rectification of isotropic random fluctuations. In contrast with ratchet mechanisms,…

We present here a detailed study of the behaviour of a three dimensional Brownian motor based on cold atoms in a double optical lattice [P. Sjolund et al., Phys. Rev. Lett. 96, 190602 (2006)]. This includes both experiments and numerical…

Atomic Physics · Physics 2007-09-18 P. Sjolund , S. J. H. Petra , C. M. Dion , H. Hagman , S. Jonsell , A. Kastberg

Brownian motors, or ratchets, are devices which "rectify" Brownian motion, i.e. they can generate a current of particles out of unbiased fluctuations. The ratchet effect is a very general phenomenon which applies to a wide range of physical…

Statistical Mechanics · Physics 2011-12-06 F. Renzoni

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 operation of Brownian motors is usually described in terms of out-of-equilibrium and symmetry-breaking settings, with the relevant spatiotemporal symmetries identified from the analysis of the equations of motion for the system at hand.…

Mesoscale and Nanoscale Physics · Physics 2016-01-12 David Cubero , Ferrucio Renzoni

We analyze the dynamics of a classical particle in a spatially periodic potential under the influence of a periodic in time uniform force. It was shown in [S.Flach, O.Yevtushenko, Y. Zolotaryuk, Phys. Rev. Lett. 84, 2358 (2000)] that…

Chaotic Dynamics · Physics 2012-07-11 A. P. Itin , A. I. Neishtadt

We provide a generic scheme offering real time control of directed particle transport in superimposed driven lattices. This scheme allows to accelerate, slow and freeze the transport on demand, by switching one of the lattices subsequently…

Chaotic Dynamics · Physics 2016-06-06 Aritra K. Mukhopadhyay , Benno Liebchen , Thomas Wulf , Peter Schmelcher

Consider the motion of a Brownian particle in two or more dimensions, whose coordinate processes are standard Brownian motions with zero drift initially, and then at some random/unobservable time, one of the coordinate processes gets a…

Probability · Mathematics 2020-07-30 Philip A. Ernst , Goran Peskir

In systems possessing a spatial or dynamical symmetry breaking thermal Brownian motion combined with unbiased, non-equilibrium noise gives rise to a channelling of chance that can be used to exercise control over systems at the micro- and…

Statistical Mechanics · Physics 2009-11-10 P. Hänggi , F. Marchesoni , F. Nori

The directed transport of an overdamped Brownian motor moving in a spatially periodic potential that lacks reflection symmetry (i.e. a ratchet potential) is studied when driven by thermal and dichotomic nonequilibrium noise in the presence…

Soft Condensed Matter · Physics 2008-08-05 Lukasz Machura , Jerzy Luczka , Peter Talkner , Peter Hänggi

The directed transport of Brownian particles requires a system with an asymmetry and with non-equilibrium noise. We here investigate numerically alternative ways of fulfilling these requirements for a two-state Brownian motor, realised with…

Statistical Mechanics · Physics 2015-03-17 H. Hagman , M. Zelan , C. M. Dion

We investigated three models of Brownian motors which convert rotational diffusion into directed translational motion by switching on and off a potential. In the first model a spatially asymmetric potential generates directed translational…

Statistical Mechanics · Physics 2009-11-11 Brian Geislinger , Ryoichi Kawai

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

Brownian motors are devices which "rectify" Brownian motion, i.e. they can generate a current of particles out of unbiased fluctuations. Brownian motors are important for the understanding of molecular motors, and are also promising for the…

Other Condensed Matter · Physics 2009-11-11 F. Renzoni
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