Critical Slowing Down Exponents of Mode Coupling Theory

被引：40

作者：

Caltagirone, F. ^{[1
]}

Ferrari, U. ^{[1
,2
]}

Leuzzi, L. ^{[1
,2
]}

Parisi, G. ^{[1
,2
,3
]}

Ricci-Tersenghi, F. ^{[1
,2
,3
]}

Rizzo, T. ^{[1
,2
]}

机构：

[1] Univ Roma La Sapienza, Dip Fis, I-00185 Rome, Italy

[2] Univ Roma La Sapienza, UOS Roma Kerberos, IPCF CNR, I-00185 Rome, Italy

[3] Ist Nazl Fis Nucl, I-00185 Rome, Italy

来源：

PHYSICAL REVIEW LETTERS | 2012年 / 108卷 / 08期

关键词：

STRUCTURAL GLASS-TRANSITION; FINITE-SIZE CORRECTIONS; MEAN-FIELD THEORY; SPIN-GLASS; METASTABLE STATES; ORDER PARAMETERS; DYNAMICS; PHASE; RELAXATION; LIQUIDS;

D O I：

10.1103/PhysRevLett.108.085702

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A method is provided to compute the exponent parameter lambda yielding the dynamic exponents of critical slowing down in mode coupling theory. It is independent from the dynamic approach and based on the formulation of an effective static field theory. Expressions of lambda in terms of third order coefficients of the action expansion or, equivalently, in terms of six point cumulants are provided. Applications are reported to a number of mean-field models: with hard and soft variables and both fully connected and dilute interactions. Comparisons with existing results for the Potts glass model, the random orthogonal model, hard and soft-spin Sherrington-Kirkpatrick, and p-spin models are presented.

引用

页数：5

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