Supersymmetric complexity in the Sherrington-Kirkpatrick model

被引：26

作者：

Annibale, A

Cavagna, A

Giardina, I

Parisi, G

机构：

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

[2] INFM Roma 1, Ctr Stat Mech & Complex, I-00185 Rome, Italy

来源：

PHYSICAL REVIEW E | 2003年 / 68卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.68.061103

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

By using a supersymmetric approach we compute the complexity of the metastable states in the Sherrington-Kirkpatrick spin-glass model. We prove that the supersymmetric complexity is exactly equal to the Legendre transform of the thermodynamic free energy, thus providing a recipe to find the complexity once the free energy is known. Our results suggest that the supersymmetry may be a useful tool for the calculation of the entropy of metastable states in generic glassy systems.

引用

页数：5

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