EXACT 2-CELL CORRELATIONS IN RANDOM CELLULAR STRUCTURES GENERATED FROM A 2D ISING FERROMAGNET

被引:4
|
作者
DELANNAY, R
ITO, N
KHATUN, M
LECAER, G
机构
[1] JAPAN ATOM ENERGY RES INST, CTR COMP & INFORMAT SYST, TOKAI, IBARAKI 31911, JAPAN
[2] BALL STATE UNIV, DEPT PHYS & ASTRON, MUNCIE, IN 47306 USA
[3] ECOLE MINES, SCI & GENIE MAT MET LAB, CNRS, UA 159, F-54042 NANCY, FRANCE
[4] ECOLE MINES, LEMTA, CNRS, UA 875, F-54042 NANCY, FRANCE
[5] UNIV TOKYO, FAC ENGN, DEPT APPL PHYS, BUNKYO KU, TOKYO 113, JAPAN
关键词
D O I
10.1016/0378-4371(94)90133-3
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Random 2D cellular structures are generated from distributions of spins given by a ferromagnetic Ising model with nearest-neighbour couplings on a square lattice. Topological correlations between pairs of neighbouring cells, are expressed as rational functions of even-number spin correlations, involving two, four and six spins, which are exactly known for the square Ising model, The latter correlations have been calculated numerically in the vicinity of the Curie point, They agree with computer simulation results.
引用
收藏
页码:1 / 11
页数:11
相关论文
共 50 条
  • [41] Topological Order Generated by a Random Field in a 2D Exchange Model
    Chudnovsky, E. M.
    Garanin, D. A.
    PHYSICAL REVIEW LETTERS, 2018, 121 (01)
  • [42] Probing the Quench Dynamics of Antiferromagnetic Correlations in a 2D Quantum Ising Spin System
    Guardado-Sanchez, Elmer
    Brown, Peter T.
    Mitra, Debayan
    Devakul, Trithep
    Huse, David A.
    Schauss, Peter
    Bakr, Waseem S.
    PHYSICAL REVIEW X, 2018, 8 (02):
  • [43] A new look at the 2D Ising model from exact partition function zeros for large lattice sizes
    Alves, NA
    De Felicio, JRD
    Hansmann, UHE
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 1997, 8 (05): : 1063 - 1071
  • [44] Coupling Quantum Emitters to Random 2D Nanoplasmonic Structures
    Purcell, Thomas A. R.
    Galanty, Matan
    Yochelis, Shira
    Paltiel, Yossi
    Seideman, Tamar
    JOURNAL OF PHYSICAL CHEMISTRY C, 2016, 120 (38): : 21837 - 21842
  • [45] In-Cell Protein Structures from 2D NMR Experiments
    Muntener, Thomas
    Haussinger, Daniel
    Selenko, Philipp
    Theillet, Francois-Xavier
    JOURNAL OF PHYSICAL CHEMISTRY LETTERS, 2016, 7 (14): : 2821 - 2825
  • [46] TOWARDS STATISTICAL-MECHANICS OF A 2D RANDOM CELLULAR STRUCTURE
    DEALMEIDA, RMC
    IGLESIAS, JR
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (16): : 3365 - 3377
  • [47] The 2D non self-dual Ising lattices: An exact renormalization group treatment
    Kaya, Tuncer
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2021, 35 (13):
  • [48] SOME EXACT RESULTS FOR THE 2D ISING-MODEL WITH REGULAR DISPOSITION OF THE FRUSTRATED SQUARES
    BRYKSIN, VV
    GOLTSEV, AY
    KUDINOV, EE
    JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1980, 13 (32): : 5999 - 6007
  • [49] NEW PERCOLATING STRUCTURES IN RANDOM FRACTALS IN 2D AND 3D
    PERREAU, M
    LEVY, JCS
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1989, 157 (01) : 31 - 36
  • [50] Spin-spin correlations in site disordered ±J 2D Ising spin glasses
    Kawecka-Magiera, B
    Maksymowicz, AZ
    Kowal, M
    Kulakowski, K
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 1998, 9 (05): : 685 - 691