scholarly journals NUMERICAL INVESTIGATION OF ANISOTROPICALLY DRIVEN DEVELOPED TURBULENCE

2007 ◽  
Vol 12 (3) ◽  
pp. 325-342 ◽  
Author(s):  
Edik Hayryan ◽  
Eva Jurcisinova ◽  
Marian Jurcisin ◽  
Milan Stenlik
Keyword(s):  
Renormalization Group ◽  
Parallel Programming ◽  
Numerical Investigation ◽  
Group Approach ◽  
Strongly Nonlinear ◽  
Developed Turbulence ◽  
Renormalization Group Equations ◽  
Renormalization Group Approach ◽  
Anisotropy Parameters ◽  
The Stability

The fully developed turbulence with axial anisotropy for dimensions d > 2 is investigated by means of renormalization group approach. The corresponding system of strongly nonlinear renormalization group equations which contain angle integrals is solved numerically. Possible utilization of the parallel programming methods is discussed. As a result, the influence of anisotropy on the stability of the Kolmogorov scaling regime is analyzed. The borderline dimension between stable scaling regime and unstable one is calculated as a function of the anisotropy parameters. Obtained results are compared with results calculated in [7].

A RENORMALIZATION GROUP APPROACH FOR MANY-FERMION PROBLEMS

1992 ◽  
Vol 06 (05n06) ◽  
pp. 749-758 ◽  
Author(s):  
R. SHANKAR
Keyword(s):  
Renormalization Group ◽  
Landau Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Free Fermion ◽  
Fermion System ◽  
Group Approach ◽  
Fermionic Systems ◽  
Renormalization Group Approach ◽  
The Stability

A renormalization group transformation (RGT) that permits us to analyze the stability of fermionic systems to various perturbations in any number of dimensions is developed. An RGT that leaves invariant the free fermion system (on or off a lattiice) is defined and interactions are classified as relevent, irrelevent or marginal. It is shown how the RGT automatically considers competing instabilities simultaneously, in contrast to mean field theory, which focuses on just one. It is shown that at weak coupling only the BCS coupling is relevent unless there is nesting. Both Landau theory and the Kohn-Luttinger argument are discussed in this context.

RENORMALIZATION GROUP APPROACH TO THE TOP CONDENSATION MODEL AND THE $B^0\mbox{-}\bar{B}^0$ MIXING

1993 ◽  
Vol 08 (16) ◽  
pp. 1477-1486
Author(s):  
KUMIKO KIMURA ◽  
AKIO SUGAMOTO
Keyword(s):  
Renormalization Group ◽  
Loop Momentum ◽  
Group Approach ◽  
Mixing Parameter ◽  
Renormalization Group Equations ◽  
Renormalization Group Approach ◽  
Dynamical Breaking ◽  
Condensation Model ◽  
Lower Cutoff

The [Formula: see text] mixing parameter is evaluated by making the parameters (g2, gt and v) included in its one-loop estimation, run according to the variation of loop momentum squared. Even though the running behavior of gt and v distinguishes models with and without dynamical breaking due to the top condensation, the relatively lower cutoff scale Λ<1010 GeV, or the larger value of mt (100 GeV) >250 GeV is necessary in order to recognize in the [Formula: see text] mixing a sizable amount of modification by the renormalization group equations.

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