Passive advection of a vector field by compressible turbulent flow: Renormalizations Group Analysis near d = 4

Nikolay V. Antonov, Nikolay M. Gulitskiy, Maria M. Kostenko, Tomáš Lučivjanský

Результат исследований: Научные публикации в периодических изданияхстатьярецензирование

1 Цитирования (Scopus)

Аннотация

The renormalization group approach and the operator product expansion technique are applied to the model of a passively advected vector field by a turbulent velocity field. The latter is governed by the stochastic Navier-Stokes equation for a compressible fluid. The model is considered in the vicinity of space dimension d = 4 and the perturbation theory is constructed within a double expansion scheme in y and ε = 4 − d, where y describes scaling behaviour of the random force that enters the Navier-Stokes equation. The properties of the correlation functions are investigated, and anomalous scaling and multifractal behaviour are established. All calculations are performed in the leading order of y, ε expansion (one-loop approximation).

Язык оригиналаанглийский
Номер статьи37
Число страниц12
ЖурналUniverse
Том5
Номер выпуска1
DOI
СостояниеОпубликовано - 18 янв 2019

Предметные области Scopus

  • Физика и астрономия (все)

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