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We use protein folding energy landscape concepts such as golf-course andfunnel to study re-equilibration in athermal martensite parameter regime oftriangle-to-centered rectangle, square-to-oblique, and triangle-to-obliquetransitions under systematic temperature-quench Monte Carlo simulations. Onquenching below a transition temperature, the seeded high-symmetry parent-phaseaustenite that converts to the low-symmetry product-phase martensite, throughautocatalytic twinning or elastic photocopying, has both rapid conversions andincubation-delays in the temperature-time-transformation phase diagram. We findthe rapid (incubation-delays) conversions at low (high) temperatures arisesfrom the presence of large (small) size of golf-course edge that has funnelinside for negative energy states. In the incubating state, the strainstructure factor enters into the Brillouin zone golf-course through searchesfor finite transitional pathways which closes off at the transition temperaturewith Vogel-Fulcher divergences that are insensitive to Hamiltonian energyscales and log-normal distributions, as signatures of dominant entropybarriers. The crossing of the entropy barrier is identified through energyoccupancy distributions, Monte Carlo acceptance fractions, heat emission andinternal work. The above ideas had previously been presented for the scalarorder parameter case. Here we show similar results are also obtained for vectororder parameters.

Golf-course and funnel energy landscapes: Protein folding concepts in martensites