Anomalous diffusion in bounded temporally irregular flows

Shankar C. Venkataramani, Thomas M. Antonsen, Edward Ott

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

We investigate the longitudinal dispersion of passive tracers in a transversely bounded shear flow. The flow is assumed to be temporally irregular, but to possess smooth large scale spatial structure without significant small spatial scale motions. We show that the existence of a region where the longitudinal velocity goes to zero linearly with distance from the wall causes the tracers to "stick" to the walls. This results in a superdiffusive dispersion of the tracer. We analyze the growth of the variance and show that σ2(t) ∼ tv with v = 3/2. We verify this result by numerical simulation and compare the results from this model with experimental observations.

Original languageEnglish (US)
Pages (from-to)412-440
Number of pages29
JournalPhysica D: Nonlinear Phenomena
Volume112
Issue number3-4
DOIs
StatePublished - Jan 1 1998
Externally publishedYes

Keywords

  • Anomalous diffusion
  • Hamiltonian systems
  • Levy flights
  • Passive tracer transport

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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