scholarly journals Coupled nonequilibrium growth equations: Self-consistent mode coupling using vertex renormalization

2000 ◽  
Vol 61 (2) ◽  
pp. 2086-2088 ◽  
Author(s):  
Amit Kr. Chattopadhyay ◽  
Abhik Basu ◽  
Jayanta K. Bhattacharjee
Keyword(s):  
Mode Coupling ◽  
Self Consistent ◽  
Nonequilibrium Growth ◽  
Growth Equations

UNIVERSAL PRANDTL NUMBER IN TWO-DIMENSIONAL KRAICHNAN-BATCHELOR TURBULENCE

2008 ◽  
Vol 22 (20) ◽  
pp. 3421-3431
Author(s):  
MALAY K. NANDY
Keyword(s):  
Prandtl Number ◽  
Mode Coupling ◽  
Perturbation Expansion ◽  
Dynamic Scaling ◽  
Two Dimensional ◽  
Turbulent Prandtl Number ◽  
Energy Regime ◽  
Self Consistent ◽  
Prandtl Numbers

We evaluate the universal turbulent Prandtl numbers in the energy and enstrophy régimes of the Kraichnan-Batchelor spectra of two-dimensional turbulence using a self-consistent mode-coupling formulation coming from a renormalized perturbation expansion coupled with dynamic scaling ideas. The turbulent Prandtl number is found to be exactly unity in the (logarithmic) enstrophy régime, where the theory is infrared marginal. In the energy régime, the theory being finite, we extract singularities coming from both ultraviolet and infrared ends by means of Laurent expansions about these poles. This yields the turbulent Prandtl number σ ≈ 0.9 in the energy régime.

scholarly journals Anomalous kinetics and transport from 1D self-consistent mode-coupling theory

2007 ◽  
Vol 2007 (02) ◽  
pp. P02007-P02007 ◽  
Author(s):  
Luca Delfini ◽  
Stefano Lepri ◽  
Roberto Livi ◽  
Antonio Politi
Keyword(s):  
Mode Coupling ◽  
Coupling Theory ◽  
Mode Coupling Theory ◽  
Self Consistent

Effective dipole moment for the mode coupling instability: Mapping of self-consistent wake models

2012 ◽  
Vol 19 (7) ◽  
pp. 073708 ◽  
Author(s):  
T. B. Röcker ◽  
S. K. Zhdanov ◽  
A. V. Ivlev ◽  
M. Lampe ◽  
G. Joyce ◽  
...  
Keyword(s):  
Dipole Moment ◽  
Mode Coupling ◽  
Effective Dipole Moment ◽  
Self Consistent ◽  
Mode Coupling Instability

Self-consistent mode-coupling theory of quantum percolation

1986 ◽  
Vol 33 (11) ◽  
pp. 7708-7714 ◽  
Author(s):  
Roger F. Loring ◽  
Shaul Mukamel
Keyword(s):  
Mode Coupling ◽  
Coupling Theory ◽  
Mode Coupling Theory ◽  
Quantum Percolation ◽  
Self Consistent

LONGITUDINAL DYNAMICAL SPIN SUSCEPTIBILITY IN HEISENBERG FERROMAGNETS

2002 ◽  
Vol 16 (31) ◽  
pp. 4743-4754 ◽  
Author(s):  
M. R. PANTIĆ
Keyword(s):  
Mode Coupling ◽  
Heisenberg Model ◽  
Memory Function ◽  
Spin Susceptibility ◽  
Ferromagnetic Phase ◽  
Magnetic Systems ◽  
High Frequencies ◽  
Self Consistent ◽  
Coupling Approximation ◽  
Dynamical Spin

We study the longitudinal dynamical spin susceptibility [Formula: see text] within the framework of Heisenberg model in the ferromagnetic phase, where no external field exists. On the basis of memory function formalism within the framework of the irreducible Green's functions we obtained the self-consistent equations for [Formula: see text] in mode coupling approximation. The expression for the longitudinal spin susceptibility is valid in the whole range of system frequencies. Its validity in the range of low and high frequencies was discussed in particular for the magnetic systems in ferromagnetic phase.

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