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

Megan Frary, Christopher A. Schuh

Research output: Contribution to journalConference articlepeer-review

Abstract

Superconductivity in high-Tc 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.

Original languageEnglish
Pages (from-to)291-296
Number of pages6
JournalMaterials Research Society Symposium Proceedings
Volume819
DOIs
StatePublished - 2004
EventInterfacial Engineering for Optical Properties III - San Francisco, CA, United States
Duration: 13 Apr 200415 Apr 2004

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