Toy models of developed turbulence

We have investigated the advection of a passive scalar quantity by incompressible helical turbulent flow within the framework of extended Kraichnan model. Turbulent fluctuations of velocity field are assumed to have the Gaussian statistics with zero mean and defined noise with finite timecorrelat...

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Бібліографічні деталі
Дата:2005
Автори: Hnatich, M., Jurcisin, M., Repasan, M.
Формат: Стаття
Мова:English
Опубліковано: Інститут фізики конденсованих систем НАН України 2005
Назва видання:Condensed Matter Physics
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/119487
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Toy models of developed turbulence / M. Hnatich, M. Jurcisin, M. Repasan // Condensed Matter Physics. — 2005. — Т. 8, № 1(41). — С. 123–133. — Бібліогр.: 30 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Резюме:We have investigated the advection of a passive scalar quantity by incompressible helical turbulent flow within the framework of extended Kraichnan model. Turbulent fluctuations of velocity field are assumed to have the Gaussian statistics with zero mean and defined noise with finite timecorrelation. Actual calculations have been done up to two-loop approximation within the framework of field-theoretic renormalization group approach. It turned out that space parity violation (helicity) of turbulent environment does not affect anomalous scaling which is a peculiar attribute of the corresponding model without helicity. However, stability of asymptotic regimes, where anomalous scaling takes place, strongly depends on the amount of helicity. Moreover, helicity gives rise to the turbulent diffusivity, which has been calculated in one-loop approximation.