Finite-size corrections to disordered systems on Erdos-Renyi random graphs

被引：21

作者：

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

Lucibello, C. ^{[3
]}

Morone, F. ^{[3
]}

Parisi, G. ^{[4
]}

Ricci-Tersenghi, F. ^{[4
]}

Rizzo, T. ^{[5
]}

机构：

[1] CNRS, Lab Phys Theor ENS, F-75005 Paris, France

[2] UPMC, F-75005 Paris, France

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

[4] Univ Roma La Sapienza, Dipartimento Fis, CNR IPCF UOS Roma Kerberos, INFN Sez Roma 1, I-00185 Rome, Italy

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

来源：

PHYSICAL REVIEW B | 2013年 / 88卷 / 18期

基金：

欧洲研究理事会;

关键词：

D O I：

10.1103/PhysRevB.88.184201

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study the finite-size corrections to the free-energy density in disordered spin systems on sparse random graphs, using both replica theory and the cavity method. We derive analytical expressions for the O(1/N) corrections in the replica symmetric phase as a linear combination of the free energies of open and closed chains. We perform a numerical check of the formulas on the random-field Ising model at zero temperature by computing finite-size corrections to the ground-state energy density.

引用

页数：9

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