On the solution of a 'solvable' model of an ideal glass of hard spheres displaying a jamming transition

被引：14
|
作者：
Mezard, Marc [1 ,2 ]
Parisi, Giorgio [3 ,4 ]
Tarzia, Marco [5 ]
Zamponi, Francesco [6 ]
机构：
[1] Univ Paris 11, Lab Phys Theor & Modeles Stat, F-91405 Orsay, France
[2] CNRS, F-91405 Orsay, France
[3] Univ Roma La Sapienza, Dipartimento Fis, INFN, Sez Roma 1, I-00185 Rome, Italy
[4] IPFC CNR, I-00185 Rome, Italy
[5] Univ Paris 06, Lab Phys Theor Mat Condensee, CNRS, UMR 7600, F-75252 Paris 05, France
[6] Ecole Normale Super, Lab Phys Theor, CNRS, UMR 8549, F-75231 Paris 05, France
来源：
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2011年
关键词：
classical phase transitions (theory); phase diagrams (theory); cavity and replica method; structural glasses (theory); AMORPHOUS SOLIDS; PACKINGS;
D O I：
10.1088/1742-5468/2011/03/P03002
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
We discuss the analytical solution through the cavity method of a mean-field model that displays at the same time an ideal glass transition and a set of jamming points. We establish the equations describing this system, and we discuss some approximate analytical solutions and a numerical strategy to solve them exactly. We compare these methods and we get insight into the reliability of the theory for the description of finite dimensional hard spheres.
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收藏
页数：37
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