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We consider the formation of solid drops
(“islands”) occurring in the growth of strained solid
films. Beginning from a detailed model for the growth of an alloy film
that incorporates the coupling between composition, elastic stress and
the morphology of the free boundary, we develop an asymptotic
description of the shape and compositional nonuniformity of small
alloy islands grown at small deposition rates. A key feature of the
analysis is a “thin domain” scaling in the island which enables
recasting...
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