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An Improved Model for Diffusion Induced Segregation with Elasticity
Author(s) -
Blesgen T.
Publication year - 2002
Publication title -
crystal research and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.377
H-Index - 64
eISSN - 1521-4079
pISSN - 0232-1300
DOI - 10.1002/1521-4079(200211)37:11<1200::aid-crat1200>3.0.co;2-q
Subject(s) - elasticity (physics) , sphalerite , chalcopyrite , diffusion , finite element method , linear elasticity , diffusion process , statistical physics , materials science , mathematics , thermodynamics , physics , computer science , metallurgy , innovation diffusion , knowledge management , pyrite , copper
An advanced mathematical model for describing diffusion induced segregation (DIS) in the case of a (Zn,Fe)S single crystal is presented. Generalising an existing model, by the use of linear elasticity the Ginzburg‐Landau potential now depends explicitly on the local strain. As a consequence, the diffusion process can be resolved with higher precision and the shape of the transition layer between sphalerite and chalcopyrite is now captured correctly. Finite element calculations in 2‐d are presented and the new simulations are compared with results of the old model.