title: Training-induced criticality in martensites.
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.
authors.affiliation: Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Università di Padova, Via Trieste 63, 35121 Padova, Italy.
authors.forename: Francisco-José
authors.initials: FJ
authors.lastname: Pérez-Reche
authors.forename: Lev
authors.initials: L
authors.lastname: Truskinovsky
authors.forename: Giovanni
authors.initials: G
authors.lastname: Zanzotto