2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/21259The consequences of the opening of a phason gap in incommensurate systems are studied on a simple model, the discrete frustrated $ϕ^4$-model. Analytical considerations and numerical results show that there is a very weak phase transition that can be characterized as third order.5 pagesStatistical MechanicsThermodynamic Properties of the Discommensuration Point for Incommensurate Structures: A "Third-Order" Phase Transitiontext