Renormalization group approach and short-distance expansion in theory of developed turbulence: Asymptotics of the triplex equal-time correlation function

Adzhemyan L., Borisenok S., Girina V.

THEORETICAL AND MATHEMATICAL PHYSICS, cilt.105, sa.3, ss.1556-1565, 1995 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 105 Sayı: 3
  • Basım Tarihi: 1995
  • Doi Numarası: 10.1007/bf02070877
  • Dergi Adı: THEORETICAL AND MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1556-1565
  • Abdullah Gül Üniversitesi Adresli: Hayır

Özet

Asymptotics of the triples equal-time correlation function for the turbulence developed in incompressible fluids in the region of widely separated wave vector values is investigated using the renormalization group approach and short-distance expansion. The problem of the most essential composite operators contributing to these asymptotics is examined. For this purpose, the critical dimensions of a family of composite quadratic tensor operators in the velocity gradient are found. Considered in the one-loop approximation, the contribution of these operators turns out to be less substantial (although not significantly) than the contribution of the linear term. The derived asymptotics of the triples correlator coincide in form with that predicted by the EDQNM approximation.