Training-induced criticality in martensites

Details Training-induced criticality in martensites Training-induced criticality in martensites

2008-07-19

arxiv.org/abs/0807.3086v1

Physical Review Letters, 99, 075501 (2007)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.99.075501

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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