Taming Griffiths' Singularities in Long Range Random Ising Models

被引：0
作者：
Abel Klein
Sharareh Masooman
机构：
[1] Department of Mathematics,
[2] University of California,undefined
[3] Irvine,undefined
[4] Irvine,undefined
[5] CA 92697-3875,undefined
[6] USA.\\ E-mail: aklein@math.uci.edu,undefined
[7] masooman@math.uci.edu,undefined
来源：
Communications in Mathematical Physics | 1997年 / 189卷
关键词：
Magnetic Field; Correlation Function; Long Range; Ising Model; Tame;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study long range random Ising models and develop modified high temperature and strong magnetic field expansions that give decay of truncated correlation functions and uniqueness of Gibbs states, in spite of the presence of Griffiths' singularities.
引用
收藏
页码：497 / 512
页数：15
相关论文
共 50 条
  • [31] Glauber dynamics for Ising models on random regular graphs: cut-off and metastability
    Van Hao Can
    van der Hofstad, Remco
    Kumagai, Takashi
    [J]. ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, 2021, 18 (02): : 1441 - 1482
  • [32] Some exact formulae on long-range correlation functions of the rectangular Ising lattice
    Chang, SC
    Suzuki, M
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2004, 18 (02): : 275 - 287
  • [33] A renormalization group study of the Ising model on a triangular lattice with long-range interactions
    Feng, SH
    Qiu, XJ
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 1998, 30 (01) : 129 - 132
  • [34] Long-range Ising model for regional-scale seismic risk analysis
    Oh, Sebin
    Yi, Sangri
    Wang, Ziqi
    [J]. EARTHQUAKE ENGINEERING & STRUCTURAL DYNAMICS, 2024, 53 (12) : 3904 - 3923
  • [35] Correlation bound for a one-dimensional continuous long-range Ising model
    Hasler, David
    Hinrichs, Benjamin
    Siebert, Oliver
    [J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2022, 146 : 60 - 79
  • [36] Critical Study of Hierarchical Lattice Renormalization Group in Magnetic Ordered and Quenched Disordered Systems: Ising and Blume-Emery-Griffiths Models
    Antenucci, F.
    Crisanti, A.
    Leuzzi, L.
    [J]. JOURNAL OF STATISTICAL PHYSICS, 2014, 155 (05) : 909 - 931
  • [37] A link between short-range and long-range properties of random sphere packings
    Balzan, R.
    Sellerio, A. L.
    Mari, D.
    Comment, A.
    Gremaud, G.
    [J]. GRANULAR MATTER, 2013, 15 (06) : 873 - 879
  • [38] A link between short-range and long-range properties of random sphere packings
    R. Balzan
    A. L. Sellerio
    D. Mari
    A. Comment
    G. Gremaud
    [J]. Granular Matter, 2013, 15 : 873 - 879
  • [39] The coherent anomaly method in the studying of the S=1 Ising chains with long-range interaction
    Ramazani, A.
    [J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2005, 29 (A2): : 319 - 323
  • [40] Critical temperature of one-dimensional Ising model with long-range interaction revisited
    Martinez-Herrera, J. G.
    Rodriguez-Lopez, O. A.
    Solis, M. A.
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2022, 596
12345