Disorder-Driven Pretransitional Tweed in Martensitic Transformations
Sivan Kartha, James Krumhansl, James Sethna, and Lisa Wickham

TL;DR
This paper investigates the origin of tweed patterns in martensitic transformations, revealing that compositional disorder and lattice constraints induce a frustrated, glassy phase, supported by simulations and experimental comparisons.
Contribution
The study introduces a two-dimensional model explaining tweed formation as a disorder-induced glassy phase, aligning well with experimental diffraction data.
Findings
Tweed patterns result from compositional disorder and lattice frustration.
Numerical simulations reproduce experimental diffraction patterns.
The model outperforms alternative strain-disorder coupling models.
Abstract
Defying the conventional wisdom regarding first--order transitions, {\it solid--solid displacive transformations} are often accompanied by pronounced pretransitional phenomena. Generally, these phenomena are indicative of some mesoscopic lattice deformation that ``anticipates'' the upcoming phase transition. Among these precursive effects is the observation of the so-called ``tweed'' pattern in transmission electron microscopy in a wide variety of materials. We have investigated the tweed deformation in a two dimensional model system, and found that it arises because the compositional disorder intrinsic to any alloy conspires with the natural geometric constraints of the lattice to produce a frustrated, glassy phase. The predicted phase diagram and glassy behavior have been verified by numerical simulations, and diffraction patterns of simulated systems are found to compare well with…
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