2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/25589We 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.4 pages; no figureStatistical MechanicsDisordered Systems and Neural NetworksLack of Stability in the Stillinger-Weber Analysis, and a Stable Analysis of the Potential Energy Landscapetext