Finite size mean-field models

被引：15
|
作者：
Fannes, M. [1 ]
Vandenplas, C. [1 ]
机构：
[1] Katholieke Univ Leuven, Inst Theoret Phys, B-3001 Heverlee, Belgium
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2006年 / 39卷 / 45期
关键词：
D O I：
10.1088/0305-4470/39/45/001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We characterize the two-site marginals of exchangeable states of a system of quantum spins in terms of a simple positivity condition. This result is used in two applications. We first show that the distance between two-site marginals of permutation invariant states on N spins and exchangeable states is of order 1/N. The second application relates the mean ground state energy of a mean-field model of composite spins interacting through a product pair interaction with the mean ground state energies of the components.
引用
收藏
页码：13843 / 13860
页数：18
相关论文
共 50 条
  • [1] Potential energy landscape of finite-size mean-field models for glasses
    Crisanti, A
    Ritort, F
    EUROPHYSICS LETTERS, 2000, 51 (02): : 147 - 153
  • [2] Activated processes and Inherent Structure dynamics of finite-size mean-field models for glasses
    Crisanti, A
    Ritort, F
    EUROPHYSICS LETTERS, 2000, 52 (06): : 640 - 646
  • [3] DERIVATION OF FINITE-SIZE SCALING FOR MEAN-FIELD MODELS FROM THE BURGERS-EQUATION
    BRANKOV, JG
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (23): : 5647 - 5654
  • [4] FINITE-SIZE SEALING ANALYSIS OF GENERALIZED MEAN-FIELD THEORIES
    FRISCHAT, SD
    KUHN, R
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (10): : 2771 - 2783
  • [5] Chains of mean-field models
    Hassani, S. Hamed
    Macris, Nicolas
    Urbanke, Ruediger
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2012,
  • [6] Free energy equivalence between mean-field models and nonsparsely diluted mean-field models
    Okuyama, Manaka
    Ohzeki, Masayuki
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2025, 58 (04)
  • [7] First-order microcanonical transitions in finite mean-field models
    Antoni, M
    Ruffo, S
    Torcini, A
    EUROPHYSICS LETTERS, 2004, 66 (05): : 645 - 651
  • [8] Avalanche-size distributions in mean-field plastic yielding models
    Jagla, E. A.
    PHYSICAL REVIEW E, 2015, 92 (04):
  • [9] Mean-field models of size selection in polymer vesicles with and without interdigitation
    Greenall, M. J.
    Macpherson, H. J.
    PHYSICS AND CHEMISTRY OF LIQUIDS, 2023, 61 (02) : 91 - 100
  • [10] Finite-size and correlation-induced effects in mean-field dynamics
    Touboul, Jonathan D.
    Ermentrout, G. Bard
    JOURNAL OF COMPUTATIONAL NEUROSCIENCE, 2011, 31 (03) : 453 - 484
12345