Abstract
The Renormalization Group (RNG) theory is applied to magnetohydrodynamic (MHD) equations written in Elsaesser variables, as done by Yakhot and Orszag. As a result, a system of coupled nonlinear differential equations for the `effective` or turbulent `viscosities` is obtained. Without solving this system, it is possible to prove their exponential behaviour at the `fixed-point` and also determine the effective viscosity and resistivity. Our results do not allow negative effective viscosity or resistivity, but in certain cases the system tends to zero viscosity or resistivity. The range of possible values of the turbulent Prandtl number is also determined; the system tends to different values of this number, depending on the initial values of the viscosity and resistivity and the way the system is excited. (orig.).
Citation Formats
Camargo, S J, and Tasso, H.
Renormalization group in MHD turbulence.
Germany: N. p.,
1991.
Web.
Camargo, S J, & Tasso, H.
Renormalization group in MHD turbulence.
Germany.
Camargo, S J, and Tasso, H.
1991.
"Renormalization group in MHD turbulence."
Germany.
@misc{etde_10121318,
title = {Renormalization group in MHD turbulence}
author = {Camargo, S J, and Tasso, H}
abstractNote = {The Renormalization Group (RNG) theory is applied to magnetohydrodynamic (MHD) equations written in Elsaesser variables, as done by Yakhot and Orszag. As a result, a system of coupled nonlinear differential equations for the `effective` or turbulent `viscosities` is obtained. Without solving this system, it is possible to prove their exponential behaviour at the `fixed-point` and also determine the effective viscosity and resistivity. Our results do not allow negative effective viscosity or resistivity, but in certain cases the system tends to zero viscosity or resistivity. The range of possible values of the turbulent Prandtl number is also determined; the system tends to different values of this number, depending on the initial values of the viscosity and resistivity and the way the system is excited. (orig.).}
place = {Germany}
year = {1991}
month = {Sep}
}
title = {Renormalization group in MHD turbulence}
author = {Camargo, S J, and Tasso, H}
abstractNote = {The Renormalization Group (RNG) theory is applied to magnetohydrodynamic (MHD) equations written in Elsaesser variables, as done by Yakhot and Orszag. As a result, a system of coupled nonlinear differential equations for the `effective` or turbulent `viscosities` is obtained. Without solving this system, it is possible to prove their exponential behaviour at the `fixed-point` and also determine the effective viscosity and resistivity. Our results do not allow negative effective viscosity or resistivity, but in certain cases the system tends to zero viscosity or resistivity. The range of possible values of the turbulent Prandtl number is also determined; the system tends to different values of this number, depending on the initial values of the viscosity and resistivity and the way the system is excited. (orig.).}
place = {Germany}
year = {1991}
month = {Sep}
}