On the Kraichnan Model of Passive Scalar Advection Near the Batchelor limit

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dc.creatorPumir, Alain
dc.creatorShraiman, Boris I.
dc.creatorSiggia, Eric D.
dc.date1996-09-27
dc.date.accessioned2026-07-07T03:08:55Z
dc.date.available2026-07-07T03:08:55Z
dc.descriptionThe third order correlation function of the scalar field advected by a Gaussian random velocity, with a spatial scaling exponent $2 - ε$, and in the presence of a mean gradient, is calculated perturbatively in $ε<< 1$. This expansion corresponds to the regime close to Batchelor's advection by linear diffeomorphisms. The scaling exponent is found to be equal to 1 in dimensions 2 and 3, up to corrections smaller than $ { \cal O } ( ε) $, implying an anomalous scaling of the third order correlation function and the persistence of small scale anisotropy.
dc.identifierhttps://arxiv.org/abs/cond-mat/9609272
dc.identifierhttp://arxiv.org/abs/cond-mat/9609272
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27689
dc.subjectCondensed Matter
dc.titleOn the Kraichnan Model of Passive Scalar Advection Near the Batchelor limit
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