  The influence of geometry and morphology of superconducting structure on
critical currents and magnetic flux trapping in percolative type-II
superconductor is considered. The superconductor contains the clusters of a
normal phase, which act as pinning centers. It is found that such clusters have
significant fractal properties. 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 examined thoroughly how the finite
resolution capacity of the cluster geometrical size measurement affects the
estimated value of fractal dimension. The effect of fractal properties of the
normal phase clusters on the electric field arising from magnetic flux motion
is investigated in the case of an exponential distribution of cluster areas.
The voltage-current characteristics of superconductors in the resistive state
for an arbitrary fractal dimension are obtained. 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.
