Mean-field glass transition in a model liquid

Abstract

We investigate the liquid-glass phase transition in a system of point-like particles interacting via a finite-range attractive potential in D-dimensional space. The phase transition is driven by an `entropy crisis' where the available phase space volume collapses dramatically at the transition. We describe the general strategy underlying the first-principles replica calculation for this type of transition; its application to our model system then allows for an analytic description of the liquid-glass phase transition within a mean-field approximation, provided the parameters are chosen suitably. We find a transition exhibiting all the features associated with an `entropy crisis', including the characteristic finite jump of the order parameter at the transition while the free energy and its first derivative remain continuous.

12 pages, 6 figures

References in corpus (2)

• Self generated randomness, defect wandering and viscous flow in stripe glasses
• Structural glass on a lattice in the limit of infinite dimensions

Cited by in corpus (4)

• Dynamical transition of glasses: from exact to approximate
• Slow Dynamics of the High Density Gaussian Core Model
• Non-ergodic transitions in many-body Langevin systems: a method of dynamical system reduction
• Absence of a structural glass phase in a monoatomic model liquid predicted to undergo an ideal glass transition