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The Quarterly Journal of Mechanics and Applied Mathematics 1991 44(3):369-412; doi:10.1093/qjmam/44.3.369
© 1991 by Oxford University Press
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ASYMPTOTIC ANALYSIS OF AN IMPURITY—DEFECT PAIR-DIFFUSION MODEL

J. R. KING

( Department of Theoretical Mechanics, University of Nottingham Nottingham NG7 2RD )

Asymptotic methods are applied to a simple model describing the diffusion of an impurity through pairing with point defects. Such models arise in the consideration of the diffusion of dopants in silicon. The initial model is a system of reaction-diffusion equations and various asymptotic limits are applied in turn to reduce the complexity of the problem step by step.


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