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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

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 examined the Brownian motion of point defects in a two-dimensional hexagonal colloidal crystal, going beyond the conventional treatment that assumes constant diffusion coefficients. By extracting the spatially varying drift vector and…

Soft Condensed Matter · Physics 2026-05-18 Huang Xicheng , Liu Zefei , Chen Yong-Cong , Yang Guohong , Ao Ping

Inspired by recent advances in the manipulation of atoms trapped near 1D waveguides and pro- posals to use surface acoustic waves on piezoelectric substrates for the same purpose, we show the potential of two-dimensional platforms. We…

Quantum Physics · Physics 2018-07-04 F. Galve , R. Zambrini

We report on the design of a Hamiltonian ratchet exploiting periodically at rest integrable trajectories in the phase space of a modulated periodic potential, leading to the linear non-diffusive transport of particles. Using Bose-Einstein…

Quantum Gases · Physics 2023-10-02 N. Dupont , L. Gabardos , F. Arrouas , N. Ombredane , J. Billy , B. Peaudecerf , D. Guéry-Odelin

Directional transport is obtained in various multimode systems by driving multiple, nonreciprocally-interfering interactions between individual bosonic modes. However, systems sustaining the required number of modes become physically…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 Laure Mercier de Lépinay , Caspar F. Ockeloen-Korppi , Daniel Malz , Mika A. Sillanpää

We study the transport of inertial Brownian particles in steady laminar flows in the presence of two-dimensional Gaussian potentials. Through extensive numerical simulations, it is found that the transport is sensitively dependent on the…

Soft Condensed Matter · Physics 2019-09-23 Jian-Chun Wu , Meng An , Wei-Gang Ma

We examine the dynamics of ultracold atoms held in optical lattice potentials. By controlling the switching of a periodic driving potential we show how a phase-induced renormalization of the intersite tunneling can be used to produce…

Quantum Gases · Physics 2011-08-29 C. E. Creffield , F. Sols

We demonstrate theoretically and experimentally a novel type of localized beams supported by the combined effects of total internal and Bragg reflection in nonlinear two-dimensional square periodic structures. Such localized states exhibit…

Biased diffusive transport of Brownian particles through irregularly shaped, narrow confining quasi-one-dimensional structures is investigated. The complexity of the higher dimensional diffusive dynamics is reduced by means of the so-called…

Statistical Mechanics · Physics 2009-09-22 P. Sekhar Burada , Gerhard Schmid , Peter Hänggi

As a first step in the project of ratchet optimisation, the optimal driving waveform among a wide class of admissible functions for an overdamped, adiabatic rocking ratchet is shown to be dichotomous. `Optimum' is defined as that which…

Classical Physics · Physics 2009-11-13 Steven J. Lade

We study the flashing ratchet model of a Brownian motor, which consists in cyclical switching between the Fokker-Planck equation with an asymmetric ratchet-like potential and the pure diffusion equation. We show that the motor really…

Analysis of PDEs · Mathematics 2012-01-13 Dmitry Vorotnikov

In this paper we study the unidirectional transport effect for Brownian ratchets modeled by Fokker-Planck-type equations. In particular, we consider the adiabatic and semiadiabatic limits for tilting ratchets, generic ratchets with small…

Analysis of PDEs · Mathematics 2014-08-08 Stanislav Kondratyev , José Miguel Urbano , Dmitry Vorotnikov

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

Individual movements of a rod-like self-propelled particle on a flat substrate are quantified. Biological systems that fit into this description may be the Gram-negative delta-proteobacterium Myxococcus xanthus, Gram-negative bacterium…

Biological Physics · Physics 2012-05-03 Gulmammad Mammadov

Locally broken symmetries are used across fields to transport matter, particles and information in preferential directions. Beyond local mechanisms, spatially distributed nonlinearities in crystalline media have enabled non-reciprocal…

Soft Condensed Matter · Physics 2026-03-31 Aaron Winn , Justine Parmentier , Eleni Katifori , Martin Brandenbourger

This paper studies the quantum dynamics of a charged particle in a 2D square lattice, under the influence of electric and magnetic fields, the former being aligned with one of the lattice axes and the latter perpendicular to the lattice…

Quantum Physics · Physics 2015-05-20 A. R. Kolovsky , G. Mantica

Achieving quantum-limited motional control of optically trapped particles beyond the sub-micrometer scale is an outstanding problem in levitated optomechanics. A key obstacle is solving the light scattering problem and identifying particle…

Optics · Physics 2025-07-15 Moosung Lee , Benjamin A. Stickler , Thomas Pertsch , Sungkun Hong

Transport of the Brownian particles driven by L\'evy flights coexisting with subdiffusion in asymmetric periodic potentials is investigated in the absence of any external driving forces. Using the Langevin-type dynamics with subordination…

Statistical Mechanics · Physics 2010-03-22 Bao-quan Ai , Ya-feng He

The transport of motile entities across modulated energy landscapes plays an important role in a range of phenomena in biology, colloidal science and solid-state physics. Here, an easily implementable strategy that allows for the collective…

Soft Condensed Matter · Physics 2020-03-11 Fernando Martínez-Pedrero , Francisco Ortega , Ramón G. Rubio , Carles Calero
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