Anomalous exponents in the rapid-change model of the passive scalar advection in the order $ε^{3}$

Details Anomalous exponents in the rapid-change model of the passive scalar advection in the order $ε^{3}$ Anomalous exponents in the rapid-change model of the passive scalar advection in the order $ε^{3}$

2000-10-17

arxiv.org/abs/nlin/0010031v2

Phys. Rev. E63: 025303(R) (2001)

Nonlinear Sciences

Chaotic Dynamics

4 pages; REVTeX source with 3 postscript figures

Scientific paper

10.1103/PhysRevE.63.025303

Field theoretic renormalization group is applied to the Kraichnan model of a passive scalar advected by the Gaussian velocity field with the covariance $<{\bf v}(t,{\bf x}){\bf v}(t',{\bf x})> - <{\bf v}(t,{\bf x}){\bf v}(t',{\bf x'})> \propto\delta(t-t')|{\bf x}-{\bf x'} |^{\epsilon}$. Inertial-range anomalous exponents, related to the scaling dimensions of tensor composite operators built of the scalar gradients, are calculated to the order $\epsilon^{3}$ of the $\epsilon$ expansion. The nature and the convergence of the $\epsilon$ expansion in the models of turbulence is are briefly discussed.

Affiliated with

Also associated with

No associations

Rating

Anomalous exponents in the rapid-change model of the passive scalar advection in the order $ε^{3}$ 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 Anomalous exponents in the rapid-change model of the passive scalar advection in the order $ε^{3}$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Anomalous exponents in the rapid-change model of the passive scalar advection in the order $ε^{3}$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-34853