A Model for Strain Glass

We demonstrate that a strain discrete ``pseudo-spin'' model for martensitic alloys predicts a glass phase in the presence of disorder, consistent with recent experiments on binary and ternary alloys that have established the existence of such a phase above a critical composition. We find that the glass phase, as characterized by the Edwards-Andersen order parameter, exists even in the absence of elastic long-range interactions which compete with the disorder to shift the glass transition to higher values of the disorder. This approach, using mean-field analysis and Monte Carlo simulations, may be generalized to the study of glassy behavior in more complex structural transformations in two and three dimensions.