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SUMMARY:On extension of the formalism MPDFA and its application to the ana
 lyses of DNS 4096$^3$ conducted by Kaneda and Ishihara - Arimitsu\, T (Tsu
 kuba)
DTSTART:20080930T103000Z
DTEND:20080930T110000Z
UID:TALK13843@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Our original theoretical framework\, named Multi-fractal Proba
 bility Density Function Analysis (MPDFA)\, has been extended successfully 
 in order to make it possible to analyze a series of probability density fu
 nctions (PDFs)\, extracted from experiments and numerical simulations\, wi
 th arbitrarily changed measuring areas or distances for various physical q
 uantities representing intermittent behavior characterizing fully develope
 d turbulence.\n\nMPDFA is a unified self-consistent approach for the syste
 ms with large deviations\, which has been constructed based on the Tsallis
 -type distribution function following the assumption raised by Frisch and 
 Parisi that the singularities due to the scale invariance of the Navier-St
 okes equation for high Reynolds number distribute themselves multifractal 
 way in real physical space. MPDFA can be said as a generalization of the l
 og-normal model. It was shown that MPDFA derives the log-normal model when
  one starts with the Boltzmann-Gibbs distribution function instead of Tsal
 lis-type distribution function.\n\nAs a test of the validity of the extens
 ion\, we analyzed the PDFs for energy transfer rates and for energy dissip
 ation rates extracted by Kaneda and Ishihara group at Nagoya University fr
 om their DNS 4096^3.\n\nIn this talk\, we will present mainly on the theor
 etical extension of MPDFA and its validity. The detailed analyses of PDFs 
 out of DNS 4096^3 and the physical outcomes from them will be given at our
  poster presentation of this workshop.\n\nRelated Links\n    * http://www.
 px.tsukuba.ac.jp/home/tcm/arimitsu/Marseilles04.pdf - Journal of Physics: 
 Conference Series {f 7} (2005) 101--120.\n    * http://www.px.tsukuba.ac.
 jp/home/tcm/arimitsu/Roman%202.pdf - Anomalous Fluctuation Phenomena in Co
 mplex Systems: Plasma Physics\, Bio-Science and Econophysics (Special Revi
 ew Book for Research Signpost)\, eds. C.~Riccardi and H.E.~Roman (Transwor
 ld Research Network\, Kerala\, India\, 2008) in press.\n
LOCATION:Seminar Room 1\, Newton Institute
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