Experimental Observation of Current Reversal in a Rocking Brownian Motor

Schwemmer, Christian; Fringes, Stefan; Duerig, Urs; Ryu, Yu Kyoung; Knoll, Armin W.

doi:10.1103/physrevlett.121.104102

Cited by 34 publications

(19 citation statements)

References 35 publications

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“…Generally, a more detailed understanding of the connection between the BASEP and corresponding lattice models is necessary to explain why certain effects are seen in one description but not in the other. For example, a current reversal was reported in lattice models [42,[57][58][59][60], and recently experimentally seen in a rocking Brownian motor [53], but it was not found in an analogous setting with continuous-space dynamics [61]. Current reversals in space-continuous models were reported earlier for a constant and "flashing" asymmetric sawtooth-shaped external potential [62,63], and in a recent work with time-discontinuous driving of a single potential barrier along a ring [64].…”

Section: Introductionmentioning

confidence: 92%

Single-file transport in periodic potentials: The Brownian asymmetric simple exclusion process

2019

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Single-file Brownian motion in periodic structures is an important process in nature and technology, which becomes increasingly amenable for experimental investigation under controlled conditions. To explore and understand basic features of this motion, the Brownian asymmetric simple exclusion process (BASEP) was recently introduced. In this BASEP, hard rods are driven by a constant drag force through a periodic potential with an amplitude much larger than the thermal energy. Here we derive general properties of the collective dynamics in the BASEP, discuss its connection to single-file transport by traveling wave potentials, and give a complete description of currents in steady states for all particle densities and diameters. For the open BASEP coupled to particle reservoirs, the nonequilibrium phases predicted by extremal current principles are verified by Brownian dynamics simulations. * dlips@uos.de †

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Section: Introductionmentioning

confidence: 92%

Single-file transport in periodic potentials: The Brownian asymmetric simple exclusion process

2019

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“…Current reversals refer to steady states, where particle flow is opposite to the external bias. They were reported for lattice models [34,[64][65][66][67] and were recently found experimentally in a rocking Brownian motor [59]. Their absence in traveling-wave driven systems was conjectured based on simulation results and a perturbative expansion of the single-particle density in the NESS around its period-averaged value [68].…”

Section: Introductionmentioning

confidence: 95%

Nonequilibrium Transport and Phase Transitions in Driven Diffusion of Interacting Particles

Lips

Ryabov

Maass

2020

Zeitschrift Für Naturforschung A

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Driven diffusive systems constitute paradigmatic models of nonequilibrium physics. Among them, a driven lattice gas known as the asymmetric simple exclusion process (ASEP) is the most prominent example for which many intriguing exact results have been obtained. After summarizing key findings, including the mapping of the ASEP to quantum spin chains, we discuss the recently introduced Brownian asymmetric simple exclusion process (BASEP) as a related class of driven diffusive system with continuous space dynamics. In the BASEP, driven Brownian motion of hardcore-interacting particles through one-dimensional periodic potentials is considered. We study whether currentdensity relations of the BASEP can be considered as generic for arbitrary periodic potentials and whether repulsive particle interactions other than hardcore lead to similar results. Our findings suggest that shapes of current-density relations are generic for single-well periodic potentials and can always be attributed to the interplay of a barrier reduction, blocking and exchange symmetry effect. This implies that in general up to five different phases of nonequilibrium steady states are possible for such potentials. The phases can occur in systems coupled to particle reservoirs, where the bulk density is the order parameter. For multiple-well periodic potentials, more complex currentdensity relations are possible and more phases can appear. Taking a repulsive Yukawa potential as an example, we show that the effects of barrier reduction and blocking on the current are also present. The exchange symmetry effect requires hardcore interactions and we demonstrate that it can still be identified when hardcore interactions are combined with weak Yukawa interactions. The robustness of the collective dynamics in the BASEP with respect to variations of model details can be a key feature for a successful observation of the predicted current-density relations in actual physical systems. * dlips@uos.de †

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“…The example of molecular glass resists shows that a few additional requirements need to be considered for a t-SPL resist to be suited for general nanofabrication: 59 or be used to guide and trap nanoparticles 56,57,58 . After assembly, the PPA resist can be removed by heating 55 .…”

Section: Requirements For T-spl Resists For Direct Permanent Removalmentioning

confidence: 99%

“…4a). This so-called rocking Brownian motors can separate nanoparticles with only 1 nm difference in diameter 56,57 . Moreover, this technique has recently demonstrated the capability to place nanospheres and nanowires on top of prepatterned surfaces 58 .…”

Section: Tailored Topographies For Guiding and Assembly Of Microobjecmentioning

confidence: 99%

Thermal scanning probe lithography—a review

et al. 2020

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Fundamental aspects and state-of-the-art results of thermal scanning probe lithography (t-SPL) are reviewed here. t-SPL is an emerging direct-write nanolithography method with many unique properties which enable original or improved nano-patterning in application fields ranging from quantum technologies to material science. In particular, ultrafast and highly localized thermal processing of surfaces can be achieved through the sharp heated tip in t-SPL to generate high-resolution patterns. We investigate t-SPL as a means of generating three types of material interaction: removal, conversion, and addition. Each of these categories is illustrated with process parameters and application examples, as well as their respective opportunities and challenges. Our intention is to provide a knowledge base of t-SPL capabilities and current limitations and to guide nanoengineers to the best-fitting approach of t-SPL for their challenges in nanofabrication or material science. Many potential applications of nanoscale modifications with thermal probes still wait to be explored, in particular when one can utilize the inherently ultrahigh heating and cooling rates.

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Experimental Observation of Current Reversal in a Rocking Brownian Motor

Cited by 34 publications

References 35 publications

Single-file transport in periodic potentials: The Brownian asymmetric simple exclusion process

Single-file transport in periodic potentials: The Brownian asymmetric simple exclusion process

Nonequilibrium Transport and Phase Transitions in Driven Diffusion of Interacting Particles

Thermal scanning probe lithography—a review

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