Studying random differential equations as a tool for turbulent diffusion

Research output: Contribution to journalArticlepeer-review


A modification of Kraichnan’s direct interaction approximation (DIA) [R. H. Kraichnan, J. Math. Phys. 2, 124 (1961)] for random linear partial differential equations is proposed. The approximation is tested on the specific example of the turbulent advection of a scalar quantity by a random velocity field. It is shown to account for the sweeping more correctly than the DIA. As a result, it is valid for all times and it is able to describe nonstandard diffusive processes (i.e., superdiffusive and non-Gaussian) for which the DIA is not valid.

Original languageEnglish (US)
Pages (from-to)R5229-R5232
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number5
StatePublished - 1998

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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