On Thermodynamically Consistent Schemes for Phase Field Equations

摘要: This paper addresses the issue of thermodynamically consistent derivations field equations governing nonisothermal processes with diffuse interfaces and their implications for interface conditions in associated sharp theories. We operate within framework extended irreversible thermodynamics, allowing gradient terms to be present not only free energy entropy densities but also internal energy, both nonconserved conserved order parameter These various are shown relate splitting surface tension into an energetic entropic part. It is that principle nondecreasing local production does single out uniquely form equations. Instead it leads naturally a one-parameter family alternative theories which do contradict Curie thermodynamics. The principal applications solidification pure material binary alloy. In case substance asymptotic analysis developed vicinity front. The main effect theories, as well tension, on corresponding boundary problem manifested first nonequilibrium contributions undercooling. consider possibility assigning from empirical data some specific values phenomenological parameters involved these models.