The universal thermodynamic driving force for coherent plane interface reorientation (IR) during first-order phase transformations (PT) in solids is derived. The relation between the rates of IR and interface propagation (IP) and the corresponding driving forces are derived for combined athermal and drag interface friction. The coupled evolution of IR and IP during cubic-tetragonal and tetragon...

In this paper, we consider the generalized phase retrieval from affine measurements. This problem aims to recover signals x ∈ F d magnitude of transformations y j = ‖ M ⁎ + b 2 , 1 … m where × r { R C } and call it . We first develop a framework for with presenting several necessary sufficient conditions ( ) having property. Next, focus on minimal measurement number establish some results it. P...

Phase transformations can be difficult to characterize at the microscopic level due to the inability to directly observe individual atomic motions. Model colloidal systems, by contrast, permit the direct observation of individual particle dynamics and of collective rearrangements, which allows for real-space characterization of phase transitions. Here, we study a quasi-two-dimensional, binary c...

This chapter introduces calculational methods that can be used for abinitio structure prediction in multicomponent alloy systems, with an emphasis on concepts relevant to high entropy alloys. Specifically we will address density functional-based calculation of T=0K total energies. Extension to finite temperature will use cluster expansions for the energies to obtain the chemical substitution en...