Infrared decimation renormalization-group calculations for two-dimensional test-field turbulence.
We perform a decimation of modes starting from the infrared end of wave numbers on the randomly stirred test-field dynamics augmented by linear (Rayleigh) drag terms to model turbulence in two dimensions. A renormalization-group scheme shows relevant corrections to the drag coefficients and the existence of ultraviolet attractive fixed points, facilitating calculations of the universal numbers in both the energy and the enstrophy regimes. Marginal behavior in the enstrophy range yields logarithmic renormalization. We make a detailed comparison of the renormalization-group results with the numerical and analytical results following from Kraichnan's test-field closure.
Nandy
Malay K
MK
Department of Physics, Indian Institute of Technology Guwahati, Guwahati 781 039, India. nandymk@yahoo.co.in