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arXiv · 0807.3086

Training-induced criticality in martensites

Francisco-Jose Perez-Reche·Lev Truskinovsky·Giovanni Zanzotto
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Abstract

We propose an explanation for the self-organization towards criticality observed in martensites during the cyclic process known as `training'. The scale-free behavior originates from the interplay between the reversible phase transformation and the concurrent activity of lattice defects. The basis of the model is a continuous dynamical system on a rugged energy landscape, which in the quasi-static limit reduces to a sandpile automaton. We reproduce all the principal observations in thermally driven martensites, including power-law statistics, hysteresis shakedown, asymmetric signal shapes, and correlated disorder.

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Francisco-Jose Perez-Reche, Lev Truskinovsky, Giovanni Zanzotto. 2008-07-19. Training-induced criticality in martensites. https://doi.org/10.1103/physrevlett.99.075501

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