We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Strongly Nonlinear Diffusion in Turbulent Environment: A Problem with Infinitely Many Couplings.
- Authors
Antonov, Nikolay V.; Babakin, Andrew A.; Kakin, Polina I.
- Abstract
The field theoretic renormalization group is applied to the strongly nonlinear stochastic advection-diffusion equation. The turbulent advection is modelled by the Kazantsev–Kraichnan "rapid-change" ensemble. As a requirement of the renormalizability, the model necessarily involves infinite number of coupling constants ("charges"). The one-loop counterterm is calculated explicitly. The corresponding renormalization group equation demonstrates existence of a pair of two-dimensional surfaces of fixed points in the infinite-dimensional parameter space. If the surfaces contain infrared attractive regions, the problem allows for the large-scale, long-time scaling behaviour. For the first surface (advection is irrelevant), the critical dimensions of the scalar field Δ θ , the response field Δ θ ′ and the frequency Δ ω are nonuniversal (through the dependence on the effective couplings) but satisfy certain exact identities. For the second surface (advection is relevant), the dimensions are universal and they are found exactly.
- Subjects
SCALAR field theory; TURBULENCE; PHASE transitions; COUPLING constants; GAUSSIAN distribution
- Publication
Universe (2218-1997), 2022, Vol 8, Issue 2, pN.PAG
- ISSN
2218-1997
- Publication type
Article
- DOI
10.3390/universe8020121