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Author name code: balke
ADS astronomy entries on 2022-09-14
author:"Balke, A. Christiaan"
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Title: Percolation theory and the geometry of photospheric magnetic
flux concentrations
Authors: Balke, A. C.; Schrijver, C. J.; Zwaan, C.; Tarbell, T. D.
1993SoPh..143..215B Altcode:
The magnetic field in solar active regions forms a highly structured
pattern without an apparent length scale. We study this pattern in
detail for a plage and its surroundings observed with the Swedish Solar
Observatory on La Palma. The magnetogram has a resolution of about
1/3″, after image optimisation. We analysed the geometric properties
of isolated patches of magnetic flux. Patches with a linear size up to
3″ appear to be statistically self-similar, with a fractal dimension
ofD<SUB>f</SUB> = 1.54 ± 0.05 for the relation between area and linear
size. This value agrees very well with the dimensionD<SUB>f</SUB>
= 1.56 which is found in percolation theory for clusters of tracers
placed randomly on a lattice with a tracer density below a critical
threshold. The distribution of observed cluster areas also agrees
with that of clusters on such a random lattice. The correspondence
between properties of observations and of clusters on randomly filled
lattices suggests that- well after emergence - the magnetic flux on
the Sun is randomly distributed at least up to sizes of about 3″
and possibly larger.
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Title: Patterns in the photospheric magnetic field and percolation
theory
Authors: Schrijver, C. J.; Zwaan, C.; Balke, A. C.; Tarbell, T. D.;
Lawrence, J. K.
1992A&A...253L...1S Altcode:
The magnetic field in solar plages forms a highly structured pattern
with no apparent characteristic length scale. This pattern appears
to be a fractal with a dimension between 1.45 and 1.60. Small-scale
displacements of concentrations of magnetic flux in the network
are consistent with a random walk on a fractal with a similar
dimension. Percolation theory offers an effective explanation for
observed geometric properties of small-scale flux concentrations
in the solar photosphere, by demonstrating the close correspondence
with clusters formed by randomly placed tracers on a 2D (irregular)
lattice. Percolation theory also offers a model for the subdiffusive
behavior of tracers performing a random walk on clusters formed
by bonded sites. The geometry of flux concentrations and of the
displacement of magnetic flux as a function of time are equivalent
to situations in percolation theory below a critical value, called
'the percolation threshold'.
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Title: Fractals in Magnetograms
Authors: Schrijver, C. J.; Zwaan, C.; Balke, A. C.; Tarbell, T. D.;
Lawrence, J. K.
1992ASPC...27...67S Altcode: 1992socy.work...67S
No abstract at ADS
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Title: Short Term Evolution of Fine Scale Magnetic Structures
Authors: Topka, K.; Frank, Z.; Shine, R.; Tarbell, T.; Title, A.;
Scharmer, G.; Balke, A.
1989BAAS...21..842T Altcode:
No abstract at ADS