1995/06/13 by Leticia F. Cugliandolo, Jorge Kurchan, J. Kurchan +3
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Computer science #Condensed matter physics #Diagrammatic reasoning #Hard spheres #Invariant (physics) #Material Dynamics and Properties #Materials science #Mathematical physics #Mathematics #Matrix (chemical analysis) #Mean field theory #Phase Equilibria and Thermodynamics #Physics #SPHERES #Statistical physics #Theoretical and Computational Physics #Thermodynamics #cond-mat #hep-th
paper · pdf · doi:10.1088/0305-4470/29/7/007
published as J. Phys. A {\bf 29}, 1347 (1996) · 19 pages, 5 figures included, Z-compressed postscript
arxiv created 1995/06/13 · openalex publication_date 1996/04/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a model of spheres moving in a high-dimensional compact space. We relate it to a mixed matrix model with a O(N) invariant model plus a P(N) invariant perturbation. We then study the low pressure regime by performing a diagrammatic expansion of this matrix model. Finally, we show the results from numerical simulations and we present evidence for a glassy regime at high pressures.