Combined effects of compressibility and helicity on the scaling regimes of a passive scalar advected by turbulent velocity field with finite correlation time

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dc.creatorJurcisinova, E.
dc.creatorJurcisin, M.
dc.date2006-07-28
dc.date2006-08-10
dc.date.accessioned2026-07-07T07:22:28Z
dc.date.available2026-07-07T07:22:28Z
dc.descriptionThe influence of compressibility and helicity on the stability of the scaling regimes of a passive scalar advected by a Gaussian velocity field with finite correlation time is investigated by the field theoretic renormalization group within two-loop approximation. The influence of helicity and compressibility on the scaling regimes is discussed as a function of the exponents $ε$ and $η$, where $ε$ characterizes the energy spectrum of the velocity field in the inertial range $E\propto k^{1-2ε}$, and $η$ is related to the correlation time at the wave number $k$ which is scaled as $k^{-2+η}$. The restrictions given by nonzero compressibility and helicity on the regions with stable infrared fixed points which correspond to the stable infrared scaling regimes are discussed. A special attention is paid to the case of so-called frozen velocity field when the velocity correlator is time independent. In this case, explicit inequalities which must be fulfilled in the plane $ε-η$ are determined within two-loop approximation.
dc.description6 pages, missing letter in title is supplemented, Talk presented by M. Jurcisin at the Conference "The Small Triangle Meeting on Theoretical Physics 2005", September 2-4 2005, Snina, Slovakia; will be published in proceedings of the conference
dc.identifierhttps://arxiv.org/abs/nlin/0607067
dc.identifierhttp://arxiv.org/abs/nlin/0607067
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115670
dc.subjectChaotic Dynamics
dc.titleCombined effects of compressibility and helicity on the scaling regimes of a passive scalar advected by turbulent velocity field with finite correlation time
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