1998/11/17 by Robert Haslinger, Haslinger, Robert, Robert Joynt +1
Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Magnetic Properties and Applications #Physics of Superconductivity and Magnetism #Superconducting Materials and Applications #Superconductivity (cond-mat.supr-con) #cond-mat.supr-con
paper · pdf · doi:10.48550/arxiv.cond-mat/9811255
13 eps figures. style and order of presentation changed considerably
openalex publication_date 1998/11/17 · arxiv created 1999/07/01 · arxiv updated 2009/11/30 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
Conduction in bulk polycrystalline high-Tc superconductors with relatively high critical currents has been shown to be percolative. This phenomenon is due to weak links at grain boundaries. These weak links are the major limiting factor for technological applications which require high current densities. We formulate a model of these materials which can be reduced to a nonlinear resistor network. The model is solved by analytical approximations and a new numerical technique. The numerical technique is variational, which makes it capable of solving a wide variety of nonlinear problems. The results show that an unambiguous connection can be made between the I-V characteristics at the microscopic level and the macroscopic electrical properties.