Attractive fixed-point solution study of a shell model for turbulent convection

2013 ◽  
Vol 56 (5) ◽  
pp. 995-1003 ◽  
Author(s):  
Hao Guo ◽  
Chao Li ◽  
QiuLin Qu ◽  
PeiQing Liu
Keyword(s):  
Fixed Point ◽  
Shell Model ◽  
Turbulent Convection ◽  
Solution Study ◽  
Point Solution

scholarly journals Infrared fixed point solution for the top quark mass and unification of couplings in the MSSM

1994 ◽  
Vol 320 (1-2) ◽  
pp. 110-116 ◽  
Author(s):  
W.A. Bardeen ◽  
M. Carena ◽  
S. Pokorski ◽  
C.E.M. Wagner
Keyword(s):  
Fixed Point ◽  
Top Quark ◽  
Quark Mass ◽  
Top Quark Mass ◽  
Point Solution

scholarly journals Limit distribution of distances in biased random tries

2006 ◽  
Vol 43 (02) ◽  
pp. 377-390 ◽  
Author(s):  
Rafik Aguech ◽  
Nabil Lasmar ◽  
Hosam Mahmoud
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Limit Distribution ◽  
Analytical Techniques ◽  
Random Variable ◽  
Wasserstein Metric ◽  
Contraction Method ◽  
Point Solution ◽  
Mean And Variance

Thetrieis a sort of digital tree. Ideally, to achieve balance, the trie should grow from an unbiased source generating keys of bits with equal likelihoods. In practice, the lack of bias is not always guaranteed. We investigate the distance between randomly selected pairs of nodes among the keys in a biased trie. This research complements that of Christophi and Mahmoud (2005); however, the results and some of the methodology are strikingly different. Analytical techniques are still useful for moments calculation. Both mean and variance are of polynomial order. It is demonstrated that the standardized distance approaches a normal limiting random variable. This is proved by the contraction method, whereby the limit distribution is shown to approach the fixed-point solution of a distributional equation in the Wasserstein metric space.

scholarly journals Infrared fixed point solution for the top quark mass and unification of couplings in the MSSM

10.2172/93676 ◽  
1993 ◽  
Author(s):  
W.A. Bardeen ◽  
M. Carena ◽  
S. Pokorski ◽  
C.E.M. Wagner
Keyword(s):  
Fixed Point ◽  
Top Quark ◽  
Quark Mass ◽  
Top Quark Mass ◽  
Point Solution

THE RENORMALIZATION OF THE NON-RENORMALIZABLE FOUR-DIMENSIONAL FOUR-FERMION INTERACTION

1993 ◽  
Vol 08 (09) ◽  
pp. 797-802 ◽  
Author(s):  
N.V. KRASNIKOV
Keyword(s):  
Fixed Point ◽  
Renormalization Group ◽  
Scalar Fields ◽  
Renormalization Group Equations ◽  
Point Solution ◽  
Renormalizable Theory

We show that the non-renormalizable four-dimensional four-fermion Nambu interaction of color quarks can be renormalized. The non-renormalizable four-fermion interaction of color quarks is equivalent to the special (fixed-point) solution of the renormalization group equations for the renormalizable theory describing the interaction of the scalar fields with color quarks.

EFFECTS OF A LARGE-SCALE MEAN FLOW IN A SHELL MODEL OF TURBULENT CONVECTION

2007 ◽  
Vol 21 (23n24) ◽  
pp. 4178-4183 ◽  
Author(s):  
EMILY S. C. CHING ◽  
H. GUO
Keyword(s):  
Shell Model ◽  
Large Scale ◽  
Temperature Fluctuations ◽  
Scaling Behavior ◽  
The Other ◽  
Turbulent Convection ◽  
Mean Flow ◽  
Mean Velocity ◽  
Other Hand ◽  
Flow Reversals

The possible effects of a large-scale mean flow, represented as a non-zero mean velocity in the shell of the largest scale, are studied using a shell model of turbulent convection. In the regime where buoyancy is dynamically important, flow reversals are not observed. On the other hand, flow reversals are found in the regime where buoyancy is not dynamically important. In both regimes, the presence of such a large-scale mean flow does not change the scaling behavior of the velocity and temperature fluctuations.

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