Explicit generation of the branching tree of states in spin glasses

被引：4

作者：

Parisi, G. ^{[1
]}

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

Yllanes, D. ^{[2
,3
]}

机构：

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

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

[3] Inst Biocomputac & Fis Sistemas Complejos BIFI, Zaragoza 50009, Spain

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2015年

基金：

欧洲研究理事会;

关键词：

cavity and replica method; spin glasses (theory); BEHAVIOR; MODEL; JANUS;

D O I：

10.1088/1742-5468/2015/05/P05002

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We present a numerical method to generate explicit realizations of the tree of states in mean-field spin glasses. The resulting study illuminates the physical meaning of the full replica symmetry breaking solution and provides detailed information on the structure of the spin-glass phase. A cavity approach ensures that the method is self-consistent and permits the evaluation of sophisticated observables, such as correlation functions. We include an example application to the study of finite-size effects in single-sample overlap probability distributions, a topic that has attracted considerable interest recently.

引用

页数：30

共 43 条

[1] Extended variational principle for the Sherrington-Kirkpatrick spin-glass model [J].

Aizenman, M ;

Sims, R ;

Starr, SL .

PHYSICAL REVIEW B, 2003, 68 (21)

[2]

Aizenman M, 2007, CONTEMP MATH, V437, P1

[3] Static versus Dynamic Heterogeneities in the D=3 Edwards-Anderson-Ising Spin Glass [J].

Alvarez Banos, R. ;

Cruz, A. ;

Fernandez, L. A. ;

Gil-Narvion, J. M. ;

Gordillo-Guerrero, A. ;

Guidetti, M. ;

Maiorano, A. ;

Mantovani, F. ;

Marinari, E. ;

Martin-Mayor, V. ;

Monforte-Garcia, J. ;

Munoz Sudupe, A. ;

Navarro, D. ;

Parisi, G. ;

Perez-Gaviro, S. ;

Ruiz-Lorenzo, J. J. ;

Schifano, S. F. ;

Seoane, B. ;

Tarancon, A. ;

Tripiccione, R. ;

Yllanes, D. .

PHYSICAL REVIEW LETTERS, 2010, 105 (17)

[4] Finite-size corrections in the Sherrington-Kirkpatrick model [J].

Aspelmeier, T. ;

Billoire, A. ;

Marinari, E. ;

Moore, M. A. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (32)

[5] Critical parameters of the three-dimensional Ising spin glass [J].

Baity-Jesi, M. ;

Banos, R. A. ;

Cruz, A. ;

Fernandez, L. A. ;

Gil-Narvion, J. M. ;

Gordillo-Guerrero, A. ;

Iniguez, D. ;

Maiorano, A. ;

Mantovani, F. ;

Marinari, E. ;

Martin-Mayor, V. ;

Monforte-Garcia, J. ;

Munoz Sudupe, A. ;

Navarro, D. ;

Parisi, G. ;

Perez-Gaviro, S. ;

Pivanti, M. ;

Ricci-Tersenghi, F. ;

Ruiz-Lorenzo, J. J. ;

Schifano, S. F. ;

Seoane, B. ;

Tarancon, A. ;

Tripiccione, R. ;

Yllanes, D. .

PHYSICAL REVIEW B, 2013, 88 (22)

[6] Reconfigurable computing for Monte Carlo simulations: Results and prospects of the Janus project [J].

Baity-Jesi, M. ;

Banos, R. A. ;

Cruz, A. ;

Fernandez, L. A. ;

Gil-Narvion, J. M. ;

Gordillo-Guerrero, A. ;

Guidetti, M. ;

Iniguez, D. ;

Maiorano, A. ;

Mantovani, F. ;

Marinari, E. ;

Martin-Mayor, V. ;

Monforte-Garcia, J. ;

Munoz Sudupe, A. ;

Navarro, D. ;

Parisi, G. ;

Pivanti, M. ;

Perez-Gaviro, S. ;

Ricci-Tersenghi, F. ;

Ruiz-Lorenzo, J. J. ;

Schifano, S. F. ;

Seoane, B. ;

Tarancon, A. ;

Tellez, P. ;

Tripiccione, R. ;

Yllanes, D. .

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2012, 210 (01) :33-51

[7] Critical behavior of the three-dimensional Ising spin glass [J].

Ballesteros, HG ;

Cruz, A ;

Fernández, LA ;

Martín-Mayor, V ;

Pech, J ;

Ruiz-Lorenzo, JJ ;

Tarancón, A ;

Téllez, P ;

Ullod, CL ;

Ungil, C .

PHYSICAL REVIEW B, 2000, 62 (21) :14237-14245

[8] Sample-to-sample fluctuations of the overlap distributions in the three-dimensional Edwards-Anderson spin glass [J].

Banos, R. A. ;

Cruz, A. ;

Fernandez, L. A. ;

Gil-Narvion, J. M. ;

Gordillo-Guerrero, A. ;

Guidetti, M. ;

Iniguez, D. ;

Maiorano, A. ;

Mantovani, F. ;

Marinari, E. ;

Martin-Mayor, V. ;

Monforte-Garcia, J. ;

Munoz Sudupe, A. ;

Navarro, D. ;

Parisi, G. ;

Perez-Gaviro, S. ;

Ricci-Tersenghi, F. ;

Ruiz-Lorenzo, J. J. ;

Schifano, S. F. ;

Seoane, B. ;

Tarancon, A. ;

Tripiccione, R. ;

Yllanes, D. .

PHYSICAL REVIEW B, 2011, 84 (17)

[9] Nature of the spin-glass phase at experimental length scales [J].

Banos, R. Alvarez ;

Cruz, A. ;

Fernandez, L. A. ;

Gil-Narvion, J. M. ;

Gordillo-Guerrero, A. ;

Guidetti, M. ;

Maiorano, A. ;

Mantovani, F. ;

Marinari, E. ;

Martin-Mayor, V. ;

Monforte-Garcia, J. ;

Sudupe, A. Munoz ;

Navarro, D. ;

Parisi, G. ;

Perez-Gaviro, S. ;

Ruiz-Lorenzo, J. J. ;

Schifano, S. F. ;

Seoane, B. ;

Tarancon, A. ;

Tripiccione, R. ;

Yllanes, D. .

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2010,

[10] Nonequilibrium Spin-Glass Dynamics from Picoseconds to a Tenth of a Second [J].

Belletti, F. ;

Cotallo, M. ;

Cruz, A. ;

Fernandez, L. A. ;

Gordillo-Guerrero, A. ;

Guidetti, M. ;

Maiorano, A. ;

Mantovani, F. ;

Marinari, E. ;

Martin-Mayor, V. ;

Sudupe, A. Munoz ;

Navarro, D. ;

Parisi, G. ;

Perez-Gaviro, S. ;

Ruiz-Lorenzo, J. J. ;

Schifano, S. F. ;

Sciretti, D. ;

Tarancon, A. ;

Tripiccione, R. ;

Velasco, J. L. ;

Yllanes, D. .

PHYSICAL REVIEW LETTERS, 2008, 101 (15)

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