Current reversals in a rocking ratchet: The frequency domain

Wickenbrock, Arne; Cubero, David; Wahab, N.A. Abdul; Phoonthong, P.; Renzoni, Ferruccio

doi:10.1103/physreve.84.021127

Cited by 22 publications

(19 citation statements)

References 26 publications

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“…In Fig. 14 we show the results of numerical integration of equations (86,87). By applying operationsŜ r and θ → θ + π, one can see that J(θ + π) = −J(θ), which allows for the inversion of the current direction by shifting θ, see Fig.…”

Section: Applications: Numerical Studiesmentioning

confidence: 99%

Tunable transport with broken space–time symmetries

2014

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Transport properties of particles and waves in spatially periodic structures that are driven by external time-dependent forces manifestly depend on the spacetime symmetries of the corresponding equations of motion. A systematic analysis of these symmetries uncovers the conditions necessary for obtaining directed transport. In this work we give a unified introduction into the symmetry analysis and demonstrate its action on the motion in one-dimensional periodic, both in time and space, potentials. We further generalize the analysis to quasi-periodic drives, higher space dimensions, and quantum dynamics. Recent experimental results on the transport of cold and ultracold atomic ensembles in ac-driven optical potentials are reviewed as illustrations of theoretical considerations.

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Section: Applications: Numerical Studiesmentioning

confidence: 99%

Tunable transport with broken space–time symmetries

2014

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“…with φ 1 = φ 2 = π/2. Previous work for one-dimensional systems has shown that the biharmonic driving, breaking all the system symmetries, is able to produce a current, whose amplitude and direction can be controlled via the amplitude and the frequency of the strength of the driving [4][5][6][7][8][9][10]. In the absence of coupling between transverse degrees of freedom, ac driving of the form of Eq.…”

Section: Model and Definitionsmentioning

confidence: 99%

Control of transport in two-dimensional systems via dynamical decoupling of degrees of freedom with quasiperiodic driving fields

Cubero

Renzoni

2012

Phys. Rev. E

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We consider the problem of the control of transport in higher-dimensional periodic structures by applied ac fields. In a generic crystal, transverse degrees of freedom are coupled, and this makes the control of motion difficult to implement. We show, both with simulations and with an analytical functional expansion on the driving amplitudes, that the use of quasiperiodic driving significantly suppresses the coupling between transverse degrees of freedom. This allows a precise control of the transport, and does not require a detailed knowledge of the crystal geometry.

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“…Other groups have pointed out the role of symmetry in current reversal [21,29,30]. However, its role is fundamentally different: asymmetry determines the direction of the transport.…”

Section: Introductionmentioning

confidence: 99%

Deterministic particle transport in a ratchet flow

2016

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This study is motivated by the issue of the pumping of particle through a periodic modulated channel. We focus on a simplified deterministic model of small inertia particles within the Stokes flow framework that we call "ratchet flow." A path-following method is employed in the parameter space in order to retrace the scenario which from bounded periodic solutions leads to particle transport. Depending on whether the magnitude of the particle drag is moderate or large, two main transport mechanisms are identified in which the role of the parity symmetry of the flow differs. For large drag, transport is induced by flow asymmetry, while for moderate drag, since the full transport solution bifurcation structure already exists for symmetric settings, flow asymmetry only makes the transport effective. We analyzed the scenarios of current reversals for each mechanism as well as the role of synchronization. In particular we show that, for large drag, the particle drift is similar to phase slip in a synchronization problem.

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Current reversals in a rocking ratchet: The frequency domain

Cited by 22 publications

References 26 publications

Tunable transport with broken space–time symmetries

Tunable transport with broken space–time symmetries

Control of transport in two-dimensional systems via dynamical decoupling of degrees of freedom with quasiperiodic driving fields

Deterministic particle transport in a ratchet flow

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