Droplet Fluctuations in the Morphology and Kinetics of Martensites

Details Droplet Fluctuations in the Morphology and Kinetics of Martensites Droplet Fluctuations in the Morphology and Kinetics of Martensites

1996-07-05

arxiv.org/abs/cond-mat/9607038v1

Physics

Condensed Matter

4 pages, REVTEX, and 3 .eps figures, compressed and uuencoded, Submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.78.2168

We derive a coarse grained, free-energy functional which describes droplet configurations arising on nucleation of a product crystal within a parent. This involves a new `slow' vacancy mode that lives at the parent-product interface. A mode-coupling theory suggests that a {\it slow} quench from the parent phase produces an equilibrium product, while a {\it fast} quench produces a metastable martensite. In two dimensions, the martensite nuclei grow as `lens-shaped' strips having alternating twin domains, with well-defined front velocities. Several empirically known structural and kinetic relations drop out naturally from our theory.

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