Physics – Condensed Matter
Scientific paper
1995-03-06
Phys.Rev.E52,4924(1995)
Physics
Condensed Matter
19 pages, RevTex 3.0, Submitted to Phys.Rev. E, revised version
Scientific paper
10.1103/PhysRevE.52.4924
For a delta-correlated velocity field, simultaneous correlation functions of a passive scalar satisfy closed equations. We analyze the equation for the four-point function. To describe a solution completely, one has to solve the matching problems at the scale of the source and at the diffusion scale. We solve both the matching problems and thus find the dependence of the four-point correlation function on the diffusion and pumping scale for large space dimensionality $d$. It is shown that anomalous scaling appears in the first order of $1/d$ perturbation theory. Anomalous dimensions are found analytically both for the scalar field and for it's derivatives, in particular, for the dissipation field.
Chertkov Michael
Falkovich Gregory
Kolokolov Igor
Lebedev Vladimir
No associations
LandOfFree
Normal and Anomalous Scaling of the Fourth-Order Correlation Function of a Randomly Advected Passive Scalar does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Normal and Anomalous Scaling of the Fourth-Order Correlation Function of a Randomly Advected Passive Scalar, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Normal and Anomalous Scaling of the Fourth-Order Correlation Function of a Randomly Advected Passive Scalar will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-285322