Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of the Magnetic Flux Trapped in Fractal Clusters of a Normal
  Phase in Percolative Superconductors   The effect of the fractal clusters of a normal phase, which act as pinning
centers, on the dynamics of magnetic flux in percolative type-II superconductor
is considered. The main features of these clusters are studied in detail: the
cluster statistics is analyzed; the fractal dimension of their boundary is
estimated; the distribution of critical currents is obtained, and its
peculiarities are explored. It is found that there is the range of fractal
dimension where this distribution has anomalous statistical properties,
specifically, its dispersion becomes infinite. It is examined how the finite
resolution capacity of the cluster geometric size measurement affects the
estimated value of fractal dimension. The effect of fractal properties of the
normal phase clusters on the electric field arisen from magnetic flux motion is
investigated for the cluster area distribution of different kinds. The
voltage-current characteristics of fractal superconducting structures in the
resistive state are obtained for an arbitrary fractal dimension. It is revealed
that the fractality of the boundaries of the normal phase clusters intensifies
the magnetic flux trapping and thereby raises the critical current of a
superconductor.

34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con