STUDY OF THE 3-DIMENSIONAL ISING-MODEL ON FILM GEOMETRY WITH THE CLUSTER MONTE-CARLO METHOD

被引:35
作者
RUGE, C
DUNKELMANN, S
WAGNER, F
WULF, J
机构
[1] Institut für Theoretische Physik und Sternwarte, Universität Kiel, Kiel
关键词
D = 3 ISING MODEL; CLUSTER ALGORITHM; CRITICAL TEMPERATURE; FINITE-SIZE SCALING; SURFACE-RELATED CRITICAL EXPONENTS;
D O I
10.1007/BF01052762
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Topological properties of clusters are used to extract critical parameters. This method is tested for the bulk properties of d = 2 percolation and the d = 2, 3 Ising model. For the latter we obtain an accurate value of the critical temperature J/k(B) T(c) = 0.221617(18). In the case of the d = 3 Ising model with film geometry the critical value of the surface coupling at the special transitions is determined as J(1c)/J = 1.5004(20) together with the critical exponents beta1m=0.237(5) and phi=0.461(15).
引用
收藏
页码:293 / 317
页数:25
相关论文
共 29 条
  • [1] MONTE-CARLO RENORMALIZATION-GROUP STUDY OF THE 3-DIMENSIONAL ISING-MODEL
    BAILLIE, CF
    GUPTA, R
    HAWICK, KA
    PAWLEY, GS
    [J]. PHYSICAL REVIEW B, 1992, 45 (18): : 10438 - 10453
  • [2] PHASE-TRANSITIONS AND STATIC SPIN CORRELATIONS IN ISING MODELS WITH FREE SURFACES
    BINDER, K
    HOHENBERG, PC
    [J]. PHYSICAL REVIEW B-SOLID STATE, 1972, 6 (09): : 3461 - +
  • [3] SURFACE EFFECTS ON MAGNETIC PHASE-TRANSITIONS
    BINDER, K
    HOHENBERG, PC
    [J]. PHYSICAL REVIEW B, 1974, 9 (05) : 2194 - 2214
  • [4] FINITE SIZE SCALING ANALYSIS OF ISING-MODEL BLOCK DISTRIBUTION-FUNCTIONS
    BINDER, K
    [J]. ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1981, 43 (02): : 119 - 140
  • [5] BINDER K, 1976, PHASE TRANSITIONS CR, V3, P1
  • [6] MULTIPLICITY OF INFINITE CLUSTERS IN PERCOLATION ABOVE 6 DIMENSIONS
    DE ARCANGELIS, L
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (10): : 3057 - 3061
  • [7] MONTE-CARLO STUDY OF THE ISING-MODEL PHASE-TRANSITION IN TERMS OF THE PERCOLATION TRANSITION OF PHYSICAL CLUSTERS
    DEMEO, MD
    HEERMANN, DW
    BINDER, K
    [J]. JOURNAL OF STATISTICAL PHYSICS, 1990, 60 (5-6) : 585 - 618
  • [8] DIEHL HW, 1986, PHASE TRANSITIONS AN, V10
  • [9] Domb C., 1974, Phase transitions and critical phenomena. vol.3. Series expansions for lattice models, P357
  • [10] CRITICAL-BEHAVIOR OF THE 3-DIMENSIONAL ISING-MODEL - A HIGH-RESOLUTION MONTE-CARLO STUDY
    FERRENBERG, AM
    LANDAU, DP
    [J]. PHYSICAL REVIEW B, 1991, 44 (10): : 5081 - 5091