Energy landscape diversity and supercooled liquid properties

Families of model 'rugged landscape' potential energy functions were studied to establish the relationship between thermodynamic and kinetic behaviors of glassforming substances. The family of 'rugged' one-dimensional potential energy functions were composed piecewise out of single basin units. Pairs of functions producing identical thermodynamic properties and having different dynamics-controlling topographies were identified, implying a logical disconnection between the two aspects. A need for a principle, not purely mathematical in nature, to explain the empirical connection between thermodynamic and kinetic properties of supercooled liquids was also discussed.