Anomalous statistical properties of the critical current distribution in superconductor containing fractal clusters of a normal phase

Abstract

Statistical properties of the critical current distribution in superconductor with fractal clusters of a normal phase are considered. It is found that there is the range of fractal dimensions in which the variance and expectation for this distribution increases infinitely. Simple technique of avoiding such a divergence by the use of truncated distributions is proposed. It is suggested that the most current-carrying capability of a superconductor can be achieved by modifying the cluster area distribution in such a way that the regime of giant variance of critical currents will be realized.

11 pages with 6 figures

References in corpus (4)

• Fractal geometry of normal phase clusters and magnetic flux trapping in high-Tc superconductors
• Dynamics of the magnetic flux trapped in fractal clusters of normal phase in a superconductor
• Electric field induced by magnetic flux motion in superconductor containing fractal clusters of a normal phase
• Resistive state of superconducting structures with fractal clusters of a normal phase

Cited by in corpus (5)

• Peculiarities of the resistive transition in fractal superconducting structures
• Vortex Dynamics in Percolative Superconductors Containing Fractal Clusters of a Normal Phase
• Critical currents and vortex dynamics in percolative superconductors containing fractal clusters of a normal phase
• Depinning at the initial stage of the resistive transition in superconductors with a fractal cluster structure
• Vortex Dynamics at the Initial Stage of Resistive Transition in Superconductors with Fractal Cluster Structure