  Acoustic emission signals are known to exhibit a high degree of
reproducibility in time and show correlations with the growth and shrinkage of
martensite domains when athermal martensites are subjected to repeated thermal
cycling in a restricted temperature range. We show that a recently introduced
two dimensional model for the martensitic transformation mimics these features.
We also show that these features are related to the shape-memory effect where
near full reversal of morphological features are seen under these thermal
cycling conditions.
