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 quasistatic 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.
Original language | English |
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Article number | 075501 |
Number of pages | 4 |
Journal | Physical Review Letters |
Volume | 99 |
Issue number | 7 |
DOIs | |
Publication status | Published - 17 Aug 2007 |