|
Zapiski Nauchnykh Seminarov POMI, 2019, Volume 487, Pages 5–27
(Mi znsl6898)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
Renormalization group in the problem of active scalar advection
N. V. Antonova, M. M. Kostenkob a Department of Physics, St. Petersburg State University, 7/9 Universitetskaya Naberezhnaya, 199034 St.-Petersburg, Russia
b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences, 142432, Chernogolovka, Moscow Region, Russia
Abstract:
The field theoretic renormalization group (RG) is applied to the model of a near-equilibrium fluid coupled to a scalar field (like temperature or density of an impurity) which is active, that is, influencing 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 reminds of that obtained in [Nandy and Bhattacharjee, J. Phys. A: Math. Gen. 31, 2621 (1998)] in a model describing active convection by fully developed turbulence. Furthermore, we establish the existence of “exotic” fixed points with negative and complex effective couplings and transport coefficients that may suggest possible directions for future studies.
Key words and phrases:
renormalization group, stochastic hydrodynamics, active scalar field.
Received: 15.11.2019
Citation:
N. V. Antonov, M. M. Kostenko, “Renormalization group in the problem of active scalar advection”, Questions of quantum field theory and statistical physics. Part 26, Zap. Nauchn. Sem. POMI, 487, POMI, St. Petersburg, 2019, 5–27
Linking options:
https://www.mathnet.ru/eng/znsl6898 https://www.mathnet.ru/eng/znsl/v487/p5
|
Statistics & downloads: |
Abstract page: | 80 | Full-text PDF : | 16 | References: | 13 |
|