Abstract
There are two basic approaches for description of intercrystalline structures, namely (i) the structural unit approach, focuses on the atomic arrangement at the intergranular boundary and (ii) the intergranular boundary dislocation (IBD) approach, based on the periodic strain field that is observed at many intergranular boundaries. Both models use a coincidence site lattice (CSL) description of the intergranular boundary geometry. While these models are equivalent, each one has its own advantages in description of the intercrystalline structure. Nevertheless, today studies of intergranular boundaries in HTSCs focus primarily on the IBD description.
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Notes
- 1.
Why actual boundaries should behave in this way is explained in [1021].
- 2.
We take a mesh constant of unity to avoid distinguishing between currents and current densities.
- 3.
Because, it is considered only the critical current, the exact I–V characteristic of these resistors is unimportant.
- 4.
A similar approach is usually used in lattice analysis, approximating non-linear transport properties [777, 1358].
- 5.
Similar modeling can be fulfilled at other regular lattices having the following values of the percolation threshold, p c , and the shape of unit cell [1697]: 0.6970 (hexagon), 0.5 (triangle), 0.4299 (diamond), 0.3116 (cube), 0.2464 (b.c.c.), and 0.1980 (f.c.c.).
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© 2012 Springer-Verlag Berlin Heidelberg
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Parinov, I.A. (2012). Modeling of Electromagnetic and Superconducting Properties of HTSC. In: Microstructure and Properties of High-Temperature Superconductors. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34441-1_12
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DOI: https://doi.org/10.1007/978-3-642-34441-1_12
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Online ISBN: 978-3-642-34441-1
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