1996/02/01 by Marc Mézard, Marc Mezard, Giorgio Parisi · 5 citations
Economics, Econometrics and Finance · Materials Science · Physics and Astronomy · #Complex Systems and Time Series Analysis #Material Dynamics and Properties #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.1088/0305-4470/29/20/009
9 pages, four postcript figures attached
arxiv created 1996/02/01 · openalex publication_date 1996/10/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
In this paper we propose a method aiming at a quantitative study of the glass transition in a system of interacting particles. In spite of the absence of any quenched disorder, we introduce a replicated version of the hypernetted chain equations. The solution of these equations, for hard or soft spheres, signals a transition to the glass phase at reasonable values of the density, and finds a nice form for the correlations in the glass phase. However, the predicted value of the energy and specific heat in the glass phase are wrong, calling for an improvement of this method.