Renormalization group, operator product expansion and anomalous scaling in models of passive turbulent advection

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dc.creatorAdzhemyan, L. Ts.
dc.creatorAntonov, N. V.
dc.creatorVasil'ev, A. N.
dc.date2002-05-23
dc.date.accessioned2026-07-07T05:34:08Z
dc.date.available2026-07-07T05:34:08Z
dc.descriptionThe field theoretic renormalization group is applied to Kraichnan's model of a passive scalar quantity advected by the Gaussian velocity field with the pair correlation function $\proptoδ(t-t')/k^{d+ε}$. Inertial-range anomalous scaling for the structure functions and various pair correlators is established as a consequence of the existence in the corresponding operator product expansions of ``dangerous'' composite operators (powers of the local dissipation rate), whose {\it negative} critical dimensions determine anomalous exponents. The latter are calculated to order $ε^3$ of the $ε$ expansion (three-loop approximation).
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/nlin/0205052
dc.identifierhttp://arxiv.org/abs/nlin/0205052
dc.identifierActa Physica Slovaca 52 (2002) 541
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80249
dc.subjectChaotic Dynamics
dc.titleRenormalization group, operator product expansion and anomalous scaling in models of passive turbulent advection
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