Field-theoretic renormalization group is applied to the Kraichnan model of a passive scalar advected by the Gaussian velocity field with the covariance [formula presented] Inertial-range anomalous exponents, related to the scaling dimensions of tensor composite operators built of the scalar gradients, are calculated to the order [formula presented] of the [formula presented] expansion. The nature and the convergence of the [formula presented] expansion in the models of turbulence are briefly discussed.

Original languageEnglish
Article number025303(R)
Pages (from-to)4
Number of pages1
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume63
Issue number2
DOIs
StatePublished - 2001

    Scopus subject areas

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

ID: 5093930