Disorder Induced Diffusive Transport in Ratchets

Popescu, M. N.; Arizmendi, C. M.; Salas‐Brito, A. L.; Family, Fereydoon

doi:10.1103/physrevlett.85.3321

Cited by 55 publications

(49 citation statements)

References 38 publications

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“…We point out to the reader the following cautions: ͑i͒ Strict periodicity is not a requirement for the operation of a Brownian motor. The ratchet system may contain small amounts of disorder ͑Harms and Lipowsky, 1997;Popescu et al, 2000;Kafri and Nelson, 2005;Martinez and Chacon, 2008͒ or even be nonperiodic ͑Marchesoni, 1997͒. ͑ii͒ Spatial asymmetry can also result as a collective effect, for instance, in extended systems consisting of interacting, symmetric dynamical components, introduced in Sec.…”

Section: Brownian Motorsmentioning

confidence: 99%

Artificial Brownian motors: Controlling transport on the nanoscale

2009

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In systems possessing spatial or dynamical symmetry breaking, Brownian motion combined with unbiased external input signals, deterministic and random alike, can assist directed motion of particles at submicron scales. In such cases, one speaks of "Brownian motors." In this review the constructive role of Brownian motion is exemplified for various physical and technological setups, which are inspired by the cellular molecular machinery: the working principles and characteristics of stylized devices are discussed to show how fluctuations, either thermal or extrinsic, can be used to control diffusive particle transport. Recent experimental demonstrations of this concept are surveyed with particular attention to transport in artificial, i.e., nonbiological, nanopores, lithographic tracks, and optical traps, where single-particle currents were first measured. Much emphasis is given to two-and three-dimensional devices containing many interacting particles of one or more species; for this class of artificial motors, noise rectification results also from the interplay of particle Brownian motion and geometric constraints. Recently, selective control and optimization of the transport of interacting colloidal particles and magnetic vortices have been successfully achieved, thus leading to the new generation of microfluidic and superconducting devices presented here. The field has recently been enriched with impressive experimental achievements in building artificial Brownian motor devices that even operate within the quantum domain by harvesting quantum Brownian motion. Sundry akin topics include activities aimed at noise-assisted shuttling other degrees of freedom such as charge, spin, or even heat and the assembly of chemical synthetic molecular motors. This review ends with a perspective for future pathways and potential new applications.

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Section: Brownian Motorsmentioning

confidence: 99%

Artificial Brownian motors: Controlling transport on the nanoscale

2009

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“…The development of theoretical and computational models of ratchet systems flourishes [35][36][37][38][39][40][41][42][43][44] and is essential for the design of new separation methods and the interpretation of experimental observations. One of the challenges encountered in describing the operation of real electrophoresis-based ratchets is the faithful representation of the field lines in microfabricated electrophoretic devices.…”

Section: Ratchetsmentioning

confidence: 99%

Theory of DNA electrophoresis (∼ 1999 –2002 ½)

et al. 2002

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Over the last two decades, the introduction of new methods such as pulsed-field gel electrophoresis and capillary array electrophoresis has made it possible to map and sequence entire genomes, including our own. The development of these experimental methods has been helped by the progress of theoretical and computational sciences, and the interactions between these three modi operandi of modern science are still pushing the limits of our technologies. We now see a clear trend towards proteomics and microfluidic (even nanofluidic!) devices. In this review, we take a look at the progress of the field over the last 3 years using the glasses of the theoretical scientist and focusing mostly on new ideas and concepts. About a dozen different subfields are discussed and reviewed. We conclude by giving a commented list of some of the best review articles published over the last 2-3 years.

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“…[16], has also contributed significantly to the understanding of the subject. These deterministic ratchets, unaided by noise, are shown to yield current in overdamped [17,18], underdamped [14,16,19,20,21,22,23,24,25,27,28], as well as in Hamiltonian [29,30,31] periodic potential systems, and also in overdamped quenched disordered [32,34] systems. In these systems net current results, without the presence of applied nonzero average forcing or asymmetric fluctuations, due to the presence of various regular transporting or chaotic attractors depending on the initial conditions for given system parameter values.…”

Section: Introductionmentioning

confidence: 99%

Deterministic inhomogeneous inertia ratchets

Saikia

Mahato

2010

Physica A: Statistical Mechanics and its Applications

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We study the deterministic dynamics of a periodically driven particle in the underdamped case in a spatially symmetric periodic potential. The system is subjected to a space-dependent friction coefficient, which is similarly periodic as the potential but with a phase difference. We observe that frictional inhomogeneity in a symmetric periodic potential mimics most of the qualitative features of deterministic dynamics in a homogeneous system with an asymmetric periodic potential. We point out the need of averaging over the initial phase of the external drive at small frictional inhomogeneity parameter values or analogously low potential asymmetry regimes in obtaining ratchet current. We also show that at low amplitudes of the drive, where ratchet current is not possible in the deterministic case, noise plays a significant role in realizing ratchet current.

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Disorder Induced Diffusive Transport in Ratchets

Cited by 55 publications

References 38 publications

Artificial Brownian motors: Controlling transport on the nanoscale

Artificial Brownian motors: Controlling transport on the nanoscale

Theory of DNA electrophoresis (∼ 1999 –2002 ½)

Deterministic inhomogeneous inertia ratchets

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