Modeling and simulation of the percolation problem in high-T-c superconductors: Role of crystallographic constraints on grain boundary connectivity

TitleModeling and simulation of the percolation problem in high-T-c superconductors: Role of crystallographic constraints on grain boundary connectivity
Publication TypeBook Chapter
Year of Publication2004
AuthorsFrary, M, Schuh, CA
EditorSchuh, CA, Kumar, M, Carter, CBarry, Randle, V
Book TitleInterfacial Engineering for Optimized Properties Iii
Volume819
Pagination291 - 296
Abstract

Superconductivity in high-T-c materials is often modeled as a percolation problem in which grain boundaries are classified as strong or weak-links for current transmission based on their disorientation angle. Using Monte Carlo simulations, we have explored the topology and percolation thresholds for grain boundary networks in orthorhombic and tetragonal polycrystals where the grain boundary disorientations are assigned in a crystallographically consistent manner. We find that the networks are highly nonrandom, and that the percolation thresholds differ from those found with standard percolation theory. For biaxially textured materials, we have also developed an analytical model that illustrates the role of local crystallographic constraint on the observed nonrandom behavior.