A note on weakly discontinuous dynamical transitions

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

1 LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques
2 Dipartimento di Fisica and INFM

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.

Domaines: Mécanique statistique [cond-mat.stat-mech]

Silvio Franz, Giorgio Parisi, Federico Ricci-Tersenghi, Tommaso Rizzo, Pierfrancesco Urbani. A note on weakly discontinuous dynamical transitions. Journal of Chemical Physics, 2013, 138, pp.064504. ⟨10.1063/1.4790517⟩. ⟨hal-00805986⟩