Droplet fluctuations in the morphology and kinetics of martensites

Rao, Madan ; Sengupta, Surajit (1997) Droplet fluctuations in the morphology and kinetics of martensites Physical Review Letters, 78 (11). pp. 2168-2171. ISSN 0031-9007

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Official URL: http://prl.aps.org/abstract/PRL/v78/i11/p2168_1

Related URL: http://dx.doi.org/10.1103/PhysRevLett.78.2168

Abstract

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 slow quench from the parent phase produces an equilibrium product, while a 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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