Finite-size corrections to disordered Ising models on random regular graphs

被引：21

作者：

Lucibello, C. ^{[1
]}

Morone, F. ^{[2
,3
]}

Parisi, G. ^{[4
,5
]}

Ricci-Tersenghi, F. ^{[4
,5
]}

Rizzo, Tommaso ^{[6
]}

机构：

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

[2] CUNY City Coll, Levich Inst, New York, NY 10031 USA

[3] CUNY City Coll, Dept Phys, New York, NY 10031 USA

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

[5] Univ Roma La Sapienza, Ist Nazl Fis Nucl, Sez Roma 1, I-00185 Rome, Italy

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

来源：

PHYSICAL REVIEW E | 2014年 / 90卷 / 01期

基金：

欧洲研究理事会;

关键词：

MEAN-FIELD THEORY; SPIN-GLASSES; FRUSTRATED SYSTEMS; CONNECTIVITY; SYMMETRY;

D O I：

10.1103/PhysRevE.90.012146

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：

We derive the analytical expression for the first finite-size correction to the average free energy of disordered Ising models on random regular graphs. The formula can be physically interpreted as a weighted sum over all non-self-intersecting loops in the graph, the weight being the free-energy shift due to the addition of the loop to an infinite tree.

引用

页数：10

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