Morphological instability at the solid-liquid interface by the maximum entropy production rate principle

We examine the morphological instability from planar to non-planar cellular morphology with the maximum entropy production rate (MEPR) principle. An expression that quantifies the MEPR density at the solid-liquid interface (SLI) during direction solidification is presented, which leads to an instability criterion for dilute binary alloys. The instability criterion also affords to theoretically calculate the instability solidification growth velocity. The model considers steady state solidification at close-To and far-from equilibrium conditions.