S. Kartha et al., DISORDER-DRIVEN PRETRANSITIONAL TWEED PATTERN IN MARTENSITIC TRANSFORMATIONS, Physical review. B, Condensed matter, 52(2), 1995, pp. 803-822
Defying the conventional wisdom regarding first-order transitions, sol
id-solid displacive transformations are often accompanied by pronounce
d pretransitional phenomena. Generally, these phenomena are indicative
of some mesoscopic lattice deformation that ''anticipates'' the upcom
ing phase transition. Among these precursive effects is the observatio
n of the so-called ''tweed'' pattern in transmission electron microsco
py in a wide variety of materials. We have investigated the tweed defo
rmation in a two-dimensional model system, and found that it arises be
cause the compositional disorder intrinsic to any alloy conspires with
the natural geometric constraints of the lattice to produce a frustra
ted, glassy phase. The predicted phase diagram and glassy behavior hav
e been verified by numerical simulations, and diffraction patterns of
simulated systems are found to compare well with experimental data. An
alytically comparing to alternative models of strain-disorder coupling
, we show that the present model best accounts for experimental observ
ations.