Classical fluid dynamics under molecular scale confinement

J. K. Percus

Research output: Contribution to journalArticlepeer-review

Abstract

This is a review of some recent developments in the theory of classical nanoscale fluid dynamics, with tagged particle dynamics as the signature of transport properties. A heuristic analysis of the time asymptotic regime in strictly one-dimensional flow is followed by an exact treatment of the same system, with arbitrary non-interacting point particle dynamics. Stretched time and space coordinates allow us to obtain a universal form the telegrapher's equation for the self-dynamics after transients have died down. Attention then shifts to one-particle diffusion in a spatially modulated tubular enclosure, which is analyzed by increasingly sophisticated approximation methods. With this background, single-file fluid flow in modulated enclosures is studied, and preliminary analysis of the "passing region" carried out as well.

Original languageEnglish (US)
Pages (from-to)3311-3331
Number of pages21
JournalModern Physics Letters B
Volume23
Issue number28
DOIs
StatePublished - Nov 10 2009

Keywords

  • Nanoscale fluid dynamics
  • Quasi-one dimensional dynamics
  • Single-file fluid flow

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

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