A note on weakly discontinuous dynamical transitions

Silvio Franz ¹, Giorgio Parisi ², Federico Ricci-Tersenghi ², Tommaso Rizzo ², Pierfrancesco Urbani ¹

Journal of Chemical Physics 138 (2013) 064504

We analyze Mode Coupling discontinuous transition in the limit of vanishing discontinuity, approaching the so called « $A_3$ » point. In these conditions structural relaxation and fluctuations appear to have universal form independent from the details of the system. The analysis of this limiting case suggests new ways for looking at the Mode Coupling equations in the general case.

• 1 : Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS)
  CNRS : UMR8626 – Université Paris XI – Paris Sud
• 2 : Dipartimento di Fisica and INFM
  Università degli studi di Roma I – La Sapienza