PMID- 15244927
OWN - NLM
STAT- PubMed-not-MEDLINE
DCOM- 20040928
LR  - 20040712
IS  - 1539-3755 (Print)
IS  - 1539-3755 (Linking)
VI  - 69
IP  - 5 Pt 2
DP  - 2004 May
TI  - Probability density functions of decaying passive scalars in periodic domains: an 
      application of Sinai-Yakhot theory.
PG  - 056302
AB  - Employing the formalism introduced by Phys. Rev. Lett. 63, 1962 (1989)], we study 
      the probability density functions (pdf's) of decaying passive scalars in periodic 
      domains under the influence of smooth large scale velocity fields. The particular 
      regime we focus on is one where the normalized scalar pdf's attain a self-similar 
      profile in finite time, i.e., the so-called strange or statistical eigenmode 
      regime. In accordance with the work of Sinai and Yakhot, the central regions of 
      the pdf's are power laws. However, the details of the pdf profiles are dependent 
      on the physical parameters in the problem. Interestingly, for small Peclet 
      numbers the pdf's resemble stretched or pure exponential functions, whereas in 
      the limit of large Peclet numbers, there emerges a universal Gaussian form for 
      the pdf. Numerical simulations are used to verify these predictions.
FAU - Sukhatme, Jai
AU  - Sukhatme J
AD  - National Center for Atmospheric Research, Boulder, Colorado 80305, USA. 
      jai@ucar.edu
LA  - eng
PT  - Journal Article
DEP - 20040518
PL  - United States
TA  - Phys Rev E Stat Nonlin Soft Matter Phys
JT  - Physical review. E, Statistical, nonlinear, and soft matter physics
JID - 101136452
EDAT- 2004/07/13 05:00
MHDA- 2004/07/13 05:01
CRDT- 2004/07/13 05:00
PHST- 2004/01/16 00:00 [received]
PHST- 2004/07/13 05:00 [pubmed]
PHST- 2004/07/13 05:01 [medline]
PHST- 2004/07/13 05:00 [entrez]
AID - 10.1103/PhysRevE.69.056302 [doi]
PST - ppublish
SO  - Phys Rev E Stat Nonlin Soft Matter Phys. 2004 May;69(5 Pt 2):056302. doi: 
      10.1103/PhysRevE.69.056302. Epub 2004 May 18.