Analytic Calculation of Anomalous Scaling in Random Shell Models for a Passive Scalar

1997 ◽  
Vol 78 (26) ◽  
pp. 4926-4929 ◽  
Author(s):  
R. Benzi ◽  
L. Biferale ◽  
A. Wirth
Keyword(s):  
Passive Scalar ◽  
Analytic Calculation ◽  
Anomalous Scaling ◽  
Shell Models

scholarly journals COMBINED EFFECTS OF SMALL SCALE ANISOTROPY AND COMPRESSIBILITY ON ANOMALOUS SCALING OF A PASSIVE SCALAR

2008 ◽  
Vol 22 (21) ◽  
pp. 3589-3617 ◽  
Author(s):  
E. JURČIŠINOVÁ ◽  
M. JURČIŠIN ◽  
R. REMECKY ◽  
M. SCHOLTZ
Keyword(s):  
Operator Product Expansion ◽  
Passive Scalar ◽  
Inertial Range ◽  
Isotropic Case ◽  
Operator Product ◽  
Small Scale ◽  
Anomalous Scaling ◽  
Critical Dimensions ◽  
First Order ◽  
Anisotropy Parameters

The model of a passive scalar field advected by the compressible Gaussian strongly anisotropic velocity field with the covariance ∝ δ(t - t′)|x - x′|2ε is studied using the field theoretic renormalization group and the operator product expansion. The inertial-range stability of the corresponding scaling regime is established. The anomalous scaling of the single-time structure functions is studied and the corresponding anomalous exponents are calculated. Their dependence on the compressibility parameter and anisotropy parameters is analyzed. It is shown that, as in the isotropic case, the presence of compressibility leads to the decrease of the critical dimensions of the important composite operators, i.e., the anomalous scaling is more pronounced in the compressible systems. All calculations are done to the first order in ε.

scholarly journals Normal and anomalous scaling of the fourth-order correlation function of a randomly advected passive scalar

1995 ◽  
Vol 52 (5) ◽  
pp. 4924-4941 ◽  
Author(s):  
M. Chertkov ◽  
G. Falkovich ◽  
I. Kolokolov ◽  
V. Lebedev
Keyword(s):  
Correlation Function ◽  
Fourth Order ◽  
Passive Scalar ◽  
Anomalous Scaling

scholarly journals Statistically preserved structures in shell models of passive scalar advection

2002 ◽  
Vol 65 (2) ◽  
Author(s):  
Yoram Cohen ◽  
Thomas Gilbert ◽  
Itamar Procaccia
Keyword(s):  
Passive Scalar ◽  
Shell Models
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