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Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2005

Mean-field glass transition in a model liquid

Résumé

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.

Dates et versions

hal-00020494 , version 1 (11-03-2006)

Identifiants

Citer

Vik. S. Dotsenko, G. Blatter. Mean-field glass transition in a model liquid. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2005, 72, pp.021502. ⟨hal-00020494⟩
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