Interpreting force response patterns of a mechanically driven crystallographic phase transition

Abstract

Mechanically induced crystallographic phase transformation that reflects dynamic stress responses of intrinsically stochastic nature is a pertinent yet much less well understood phenomenon. We focus on understanding the physical significance of stochasticity and how it can enable an inference of principles underlying a crystallographic phase transformation. For interpreting the mechanical responses, a statistical approach of mapping the transformation dynamics to a probabilistic escape of crystallographic states defined on a free-energy landscape is shown to reliably explain the patterns of response. We demonstrate that stochastic responses associated with a structural phase transformation can offer a reliable quantitative tool for unraveling the free-energy profile, intrinsic kinetics, and microscopic details of solid-to-solid crystallographic transitions.