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

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

Jul 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998ap%26ss.264..317m&link_type=abstract

Astrophysics and Space Science, Volume 264, Issue 1-4, pp. 317-345

Astronomy and Astrophysics

Astrophysics

9

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Fracton Excitations as a Driving Mechanism for the Self-Organized Dynamical Structuring in the Solar Wind 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 Fracton Excitations as a Driving Mechanism for the Self-Organized Dynamical Structuring in the Solar Wind, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fracton Excitations as a Driving Mechanism for the Self-Organized Dynamical Structuring in the Solar Wind will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1342545