Quantitative phase field modeling of planar ice growth in sucrose solutions

We extend existing phase-field simulation methods to develop an accurate method for simulating ice growth in aqueous solutions. This method is then applied to model ice growth in sucrose-water solutions. Starting with a model for the free energy of the sucrose solution in coexistence with ice, we describe its equilibrium thermodynamics. This results in a phase diagram for solutions of sucrose in water that agrees well with experimental data. We show how this free energy function can be introduce