Disorder trapping by rapidly moving phase interface in an undercooled liquid

Abstract

Abstract. Non-equilibrium phenomena such as the disappearance of solute drag, the origin of solute trapping and evolution of disorder trapping occur during fast transformations with originating metastable phases [D.M. Herlach, P.K. Galenko, D. Holland-Moritz, Metastable solids from undrercooled melts (Elsevier, Amsterdam, 2007)]. In the present work, a theoretical investigation of disorder trapping by a rapidly moving phase interface is presented. Using a model of fast phase transformations, a system of governing equations for the diffusion of atoms, and the evolution of both long-range order parameter and phase field variable is formulated. First numerical solutions are carried out for a congruently melting binary alloy system.

Climate related phase transitions with moving boundaries by virtue of mushy zone investigation in Al–Cu: Experiment and phase‐field modeling

“…This function might be regarded as the one modulating the free energy between two phases being modeled. The $$$ g\left(\phi \right) $$$ function is a wall of a simple double‐well potential [31, 39, 42, 66, 67]: $$$$ p\left(\phi \right)={\phi}^2\left(3-2\phi \right);\kern0.60em g\left(\phi \right)={\phi}^2{\left(1-\phi \right)}^2. $$$$ …”

“…This function might be regarded as the one modulating the free energy between two phases being modeled. The g(𝜙) function is a wall of a simple double-well potential [31,39,42,66,67]:…”