Discrete Pseudo Spin and Continuum Models for Strain Glass

Abstract

Strain glass refers to a frozen disordered state of lattice strain, conjugate to the long-range ordering in ferroelastics. A number of descriptions have been invoked over the last few years to model strain glasses. These include the continuum Landau free energy approach with added disorder, and the discrete pseudo spin model. We review these and focus on the discrete pseudo spin model, which is derived from the continuum Landau model in the sharp interface limit. We also show how the pseudo spin model leads to predictions that can be confirmed experimentally. We conclude by briefly discussing how the continuum model can be coupled with machine learning to provide a basis for rapidly finding material attributes that optimize alloy response.