Invited review: Fluctuation-induced transport. From the very small to the very large scales

Abstract

The study of fluctuation-induced transport is concerned with the directed motion of particles on a substrate when subjected to a fluctuating external field. Work over the last two decades provides now precise clues on how the average transport depends on three fundamental aspects: the shape of the substrate, the correlations of the fluctuations and the mass, geometry, interaction and density of the particles. These three aspects, reviewed here, acquire additional relevance because the same notions apply to a bewildering variety of problems at very different scales, from the small nano or micro-scale, where thermal fluctuations effects dominate, up to very large scales including ubiquitous cooperative phenomena in granular materials.

12 pages, 9 figures

References in corpus (6)

• Artificial Brownian motors: Controlling transport on the nanoscale
• Molecular Motor Constructed from a Double-Walled Carbon Nanotube Driven by Axially Varying Voltage
• Vortex motion rectification in Josephson junction arrays with a ratchet potential
• Chiral Brownian heat pump
• Rocking ratchets in 2D Josephson networks: collective effects and current reversal
• On the transport of interacting particles in a chain of cavities: Description through a modified Fick-Jacobs equation