The field theoretic renormalization group (RG) is applied to a near-equilibrium fluid model associated with a scalar field (like temperature or density of an impurity) that is active, that is, affects the dynamics of the fluid itself. It is shown that the only possible nontrivial infrared asymptotic regimes are governed by “passive” fixed points of the RG equations, where the back reaction is irrelevant. This result resembles the result obtained by Nandy and Bhattacharjee (1998) in a model describing active convection by fully developed turbulence. Furthermore, the existence of “exotic” fixed points with negative and complex effective couplings and transport coefficients that may suggest possible directions for future studies is established.

Translated title of the contributionРенормализационная группа в задаче переноса активного скаляра
Original languageEnglish
Pages (from-to)425-441
Number of pages17
JournalJournal of Mathematical Sciences (United States)
Volume257
Issue number4
DOIs
StatePublished - 1 Sep 2021

    Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

ID: 86531446