Steady-State Interface Motion: Formulation Extended to the Isothermal Case

Abstract

Formulation describing the nonequilibrium steady-state(solid/liquid) interface motion in the language of continuummatter [A. Mori: J. Chem. Phys. 110, No. 16, in press] is extendedto the isothermal case.Equations derived from the mass- and the momentum-conservationare identical with those for the case without thermostating.However, equation derived from the energy-conservation iscombined with that derived from the second law of thermodynamics;as a result we express the chemical potential difference of thecoexisting two phases in terms of the specific volumes, net flow of mass in the liquid phase, and the viscosity term.