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.

引用

页数：37

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