NDLI: Fracton Excitations as a Driving Mechanism for the Self-Organized Dynamical Structuring in the Solar Wind

Content Provider	Springer Nature Link
Author	Milovav, A.V. Zelenyi, L.M.
Copyright Year	1998
Abstract	Structural properties of the interplanetary magnetic field (IMF) are discussed. Our main interest is concentrated on the dynamical structuring mechanisms associated with the dominant role of the wave processes in the solar wind. We argue that the IMF possibly reveals the self-organized clustering driven by the low-frequency magnetosonic waves. It is shown that the self-organized geometry of the IMF is a fractal, a specific object having a number of unusual topological features; this fractal geometry is self-consistently generated by the allowed magnetosonic modes. To give an accurate treatment of waves on fractals, we propose an unconventional approach based on the wave equation with the generalized, fractional time derivative. The allowed magnetosonic modes are then defined as the generalized "resonance" solutions to the fractional wave equation and termed "fractons", vibrational excitations of fractal objects. We found that the self-organized fractal geometry of the IMF as maintained by the fractons could be described by the value of the Hausdorff fractal dimension D≈ 4/3. Convection of the IMF fractal structures by a spacecraft observer is shown to result in the power-law behavior of the Fourier energy density spectrum of the in situobserved IMF turbulence, P(f) ∝ f −α, with the characteristic slope α ≈ 5/3.
Starting Page	317
Ending Page	345
Page Count	29
File Format	PDF
ISSN	0004640X
Journal	Astrophysics and Space Science
Volume Number	264
Issue Number	1-4
e-ISSN	1572946X
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	1998-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Astronomy
Content Type	Text
Resource Type	Article
Subject	Astronomy and Astrophysics Space and Planetary Science

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