Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Ренормгруппа в теории турбулентности: Точно-решаемая модель Гейзенберга. / Аджемян, Л.Ц.; Антонов, Н.В.
в: ТЕОРЕТИЧЕСКАЯ И МАТЕМАТИЧЕСКАЯ ФИЗИКА, Том 115, № 2, 1998, стр. 245-262.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Ренормгруппа в теории турбулентности: Точно-решаемая модель Гейзенберга.
AU - Аджемян, Л.Ц.
AU - Антонов, Н.В.
PY - 1998
Y1 - 1998
N2 - An exactly solvable Heisenberg model describing the spectral balance conditions for the energy of a turbulent liquid is investigated in the renormalization group (RG) framework. The model has RG symmetry with the exact RG functions (the ?-function and the anomalous dimension ?) found in two different renormalization schemes. The solution to the RG equations coincides with the known exact solution of the Heisenberg model and is compared with the results from the ? expansion, which is the only tool for describing more complex models of developed turbulence (the formal small parameter ? of the RG expansion is introduced by replacing a ?-function-like pumping function in the random force correlator by a powerlike function). The results, which are valid for asymptotically small ?, can be extrapolated to the actual value ? = 2, and the few first terms of the ? expansion already yield a reasonable numerical estimate for the Kolmogorov constant in the turbulence energy spectrum.
AB - An exactly solvable Heisenberg model describing the spectral balance conditions for the energy of a turbulent liquid is investigated in the renormalization group (RG) framework. The model has RG symmetry with the exact RG functions (the ?-function and the anomalous dimension ?) found in two different renormalization schemes. The solution to the RG equations coincides with the known exact solution of the Heisenberg model and is compared with the results from the ? expansion, which is the only tool for describing more complex models of developed turbulence (the formal small parameter ? of the RG expansion is introduced by replacing a ?-function-like pumping function in the random force correlator by a powerlike function). The results, which are valid for asymptotically small ?, can be extrapolated to the actual value ? = 2, and the few first terms of the ? expansion already yield a reasonable numerical estimate for the Kolmogorov constant in the turbulence energy spectrum.
M3 - статья
VL - 115
SP - 245
EP - 262
JO - ТЕОРЕТИЧЕСКАЯ И МАТЕМАТИЧЕСКАЯ ФИЗИКА
JF - ТЕОРЕТИЧЕСКАЯ И МАТЕМАТИЧЕСКАЯ ФИЗИКА
SN - 0564-6162
IS - 2
ER -
ID: 5088010