Brownian motors: noisy transport far from equilibrium

By Peter Reimann. 2000

1,952 citations recorded by the source corpus.

Abstract Transport phenomena in spatially periodic systems far from thermal equilibrium are considered. The main emphasis is put on directed transport in so-called Brownian motors (ratchets), i.e. a dissipative dynamics in the presence of thermal noise and some prototypical perturbation that drives the system out of equilibrium without introducing a priori an obvious bias into one or the other direction of motion. Symmetry conditions for the appearance (or not) of directed current, its inversion upon variation of certain parameters, and quantitative theoretical predictions for specific models are reviewed as well as a wide variety of experimental realizations and biological applications, especially the modeling of molecular motors. Extensions include quantum mechanical and collective effects, Hamiltonian ratchets, the influence of spatial disorder, and diffusive transport.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f8deff7808efcbbec5b643043bef28bdd44cde3d

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In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

A REVIEW OF PARRONDO'S PARADOX (2002, background): “Related works There have been brief reviews of Parrondo’s games in the literature, such as [20,46], as well as some general articles [47–49] — this paper, however, represents the first extensive review.”
Driven quantum transport on the nanoscale (2004, background): “In such a system, even in the absence of any net bias, directed transport has been predicted for overdamped classical Brownian motion [72,75]and also for dissipative quantum Brownian motion in the incoherent regime [78,79,173] .”
Active Brownian particles (2012, background): “and we refer the interested reader to other comprehensive reviews on the subject [177,280,150].”
Realization of a micrometre-sized stochastic heat engine (2011, background): “Also, several types of Brownian motor have been discussed that are able to extract useful work by rectification of thermal nois”
Solar energy collection by antennas (2002, neutral): “The research field of Brownian motors and ratchets is reviewed by Reimann (Reimann, 2002).”
Noise-Induced Phenomena in the Environmental Sciences (2011, background): “, a random forcing with steady properties (Reimann, 2002).”
'Life is motion': multiscale motility of molecular motors (2005, neutral): “[37].”
Active Particles in Complex and Crowded Environments (2016, background): “If, however, an external periodic drive is added, or if the substrate is flashed on and off to create nonequilibrium conditions, a net continuous drift of particles known as a ratchet effect can arise (Reimann, 2002).”