James Greenberg, Department of Mathematical Sciences, Carnegie Mellon University
"Phase Transitions with Semi-Diffuse Interfaces"
In this paper we examine new ``phase-field" models with semi-diffuse interfaces. These models have the property that the planar phase transitions take place over a finite interval. The models also support multiple interface solutions with interfaces centered at arbitrary points . The classical models have no such exact solutions. These stationary solutions are minima of the entropy functional which characterizes the system and are dynamically stable.
TUESDAY, October 30, 2001