Sign-singular measure and its association with turbulent scalings

Samuel I. Vainshtein, Yunson Du, K. R. Sreenivasan

Research output: Contribution to journalArticlepeer-review


Turbulent quantities such as vorticity, which oscillate in sign on very fine scales, have recently been characterized by sign-singular measures [E. Ott, Y. Du, K. R. Sreenivasan, A. Juneja, and A. K. Suri, Phys. Rev. Lett. 69, 2654 (1992)] and quantified by the so-called cancellation exponent. Here, the connection between the cancellation exponent and other known exponents for velocity structure functions and multifractal spectrum of the energy dissipation field is discussed. Comparison with high-Reynolds-number experimental data in one dimension and direct measurements of vorticity in a plane in moderate-Reynolds-number flows reveals excellent internal consistency. Estimates for second-order cancellation exponent are presented.

Original languageEnglish (US)
Pages (from-to)R2521-R2524
JournalPhysical Review E
Issue number4
StatePublished - 1994

ASJC Scopus subject areas

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


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