We examine the Stillinger-Weber analysis of the potential energy landscape for its stability and conclude that it does not provide a stable description of the system as the free energy slope and curvature vanish simultaneously. An alternative analysis developed recently by us involving complexity provides a stable description with complexity a monotonic increasing function of temperature.
Landscapes and Fragilities
The relationship between fragility, configurational entropy and the potential energy landscape of glass forming liquids
Phase Transitions from Saddles of the Potential Energy Landscape
