Free-energy barriers in the Sherrington-Kirkpatrick model

被引:0
作者
Aspelmeier, T. [1 ]
Moore, M. A. [2 ]
机构
[1] Georg August Univ Gottingen, Inst Theoret Phys, D-37077 Gottingen, Germany
[2] Univ Manchester, Dept Phys & Astron, Manchester M13 9PL, Lancs, England
关键词
METASTABLE STATES; SOLVABLE MODEL; MASSLESS MODES; SPIN; DYNAMICS; STABILITY; BREAKING; NUMBER; FIELD;
D O I
10.1103/PhysRevE.105.034138
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
The Sherrington-Kirkpatrick spin-glass model is investigated by means of Monte Carlo simulations by employing a combination of the multi-overlap algorithm with parallel tempering methods. We investigate the finite-size scaling behaviour of the free-energy barriers which are visible in the probability density of the Parisi overlap parameter. Assuming that the mean barrier height diverges with the number of spins N as N-alpha, our data show good agreement with the theoretical value alpha = 1/3.
引用
收藏
页数:14
相关论文
共 41 条
  • [1] Free-energy landscapes, dynamics, and the edge of chaos in mean-field models of spin glasses
    Aspelmeier, T.
    Blythe, R. A.
    Bray, A. J.
    Moore, M. A.
    [J]. PHYSICAL REVIEW B, 2006, 74 (18)
  • [2] Realizable solutions of the Thouless-Anderson-Palmer equations
    Aspelmeier, T.
    Moore, M. A.
    [J]. PHYSICAL REVIEW E, 2019, 100 (03)
  • [3] Complexity of Ising spin glasses
    Aspelmeier, T
    Bray, AJ
    Moore, MA
    [J]. PHYSICAL REVIEW LETTERS, 2004, 92 (08)
  • [4] Finite-size corrections in the Sherrington-Kirkpatrick model
    Aspelmeier, T.
    Billoire, A.
    Marinari, E.
    Moore, M. A.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (32)
  • [5] Edwards statistical mechanics for jammed granular matter
    Baule, Adrian
    Morone, Flaviano
    Herrmann, Hans J.
    Makse, Hernan A.
    [J]. REVIEWS OF MODERN PHYSICS, 2018, 90 (01)
  • [6] Strong ergodicity breaking in aging of mean-field spin glasses
    Bernaschi, Massimo
    Billoire, Alain
    Maiorano, Andrea
    Parisi, Giorgio
    Ricci-Tersenghi, Federico
    [J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2020, 117 (30) : 17522 - 17527
  • [7] Correlation timescales in the Sherrington-Kirkpatrick model
    Billoire, A
    Marinari, E
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (50): : L727 - L734
  • [8] Distribution of timescales in the Sherrington-Kirkpatrick model
    Billoire, Alain
    [J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2010,
  • [9] Free-energy barriers in the Sherrington-Kirkpatrick model
    Bittner, E
    Janke, W
    [J]. EUROPHYSICS LETTERS, 2006, 74 (02): : 195 - 201
  • [10] EVIDENCE FOR MASSLESS MODES IN THE SOLVABLE MODEL OF A SPIN GLASS
    BRAY, AJ
    MOORE, MA
    [J]. JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1979, 12 (11): : L441 - L448