An exact derivation of the dissipation rate correlation exponent μin fully-developed turbulence

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dc.creatorJayaprakash, C.
dc.creatorHayot, F.
dc.date2002-01-17
dc.date.accessioned2026-07-07T05:33:52Z
dc.date.available2026-07-07T05:33:52Z
dc.descriptionWe derive for the Navier-Stokes equation an exact equation satisfied by the dissipation rate correlation function. In the equal time limit, in the inertial range, for the homogeneous, isotropic state of fully-developed turbulence, we show that the correlation is characterized by two exponents, one of which depends on the sixth-order static structure function exponent and the other involves the behavior of the fourth-order dynamical structure function. This provides a direct derivation of the intermittency exponent of the dissipation-rate correlation.
dc.description11 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/nlin/0201033
dc.identifierhttp://arxiv.org/abs/nlin/0201033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80152
dc.subjectChaotic Dynamics
dc.titleAn exact derivation of the dissipation rate correlation exponent μin fully-developed turbulence
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