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

被引:20
|
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
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
收藏
页数:9
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