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Operator product expansion and multi-point correlations in turbulent energy cascades

  • Weizmann Institute of Science
  • Russian Academy of Sciences

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We discuss general features of the operator product expansion and use it to infer multi-point manifestations of the energy cascade in turbulence. We calculate explicitly the possible form of the three-point velocity correlation function when one distance is smaller than two others. We elucidate manifestation of direct and inverse energy cascades in the three-point velocity correlation function.

Original languageEnglish
Article number18FT02
Pages (from-to)1-15
Number of pages15
JournalJournal of Physics A: Mathematical and Theoretical
Volume48
Issue number18
DOIs
StatePublished - May 8 2015

Keywords

  • Operator product expansion
  • Statistics
  • Turbulence

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