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f lt 10-2 Hz f lt 102-103 Hz
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Hölder exponent h(x0) - a measure of the
regularity of the function g at the point x0
- a humped shape (hmin - strongest
singularity hmax weakest singularity)
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Self-similarity in the inertial range
Localness in the interaction
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Calculation of the scaling properties of
turbulence
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lbl(a), a is pointing towards a point bl(0)
(when a goes to 0) which corresponds to a
singularity of g
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Extended structure function models (Tu et al.
1996, Marsch and Tu 1997)
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The problem
MF fluctuations singular behavior
Set of locations and strength of the
singularities singularity spectrum
Method WTMM Constructing partition functions
sums of the WT located in the modulus maxima
(define the singularity)
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Comparison with models of turbulence
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Probability distribution functions for different
time delays
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1. Conclusions about the magnetic field intensity
IMF Bz gt 0 p model (fluid,
fully developed) IMF Bz lt 0 - Kolmogorov- like
(fluid, non fully developed)
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Anisotropy features of the magnetic field
B90 nT ?B10 nT
(Bxy, Bz, B56)
(?B1, ?B2, B0)
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Extended Self-Similarity Analysis
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PDF in parallel and perpendicular directions
? 6,12,24,48,96,192?t
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2. Conclusions about the anisotropy in the cusp
PSD - different scaling in parallel and
perpendicular directions ESS analysis parallel
fluctuations are characterized by monofractal
nature perpendicular - by a strong intermittent
(multifractal) character PDF more intermittent
character of the fluctuations in perpendicular
direction then in parallel
Acknowledgements E. Yordanova acknowledges the
financial support provided through the European
Community's Human Potential Programme under
contract HPRN-CT-2001-00314, Turbulent Boundary
Layers
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Uppsala, June, 2005