REAL-SPACE RENORMALIZATION IN THE PERCOLATION PROBLEM

被引:21
作者
SHAPIRO, B [1 ]
机构
[1] TECHNION ISRAEL INST TECHNOL,INST SOLID STATE,HAIFA,ISRAEL
来源
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS | 1979年 / 12卷 / 16期
关键词
D O I
10.1088/0022-3719/12/16/007
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
The renormalisation-group approach of Reynolds et al. (1977, 1978) is generalised. The generalisation enables one to go beyond the single-cell approximation. A two-cell approximation is considered. Also a new renormalisation-group approach is suggested and illustrated with a few simple examples.
引用
收藏
页码:3185 / 3195
页数:11
相关论文
共 32 条
  • [1] CRITICAL-TEMPERATURE OF HEISENBERG MODEL WITH RANDOM BOND DILUTION
    BROWN, E
    ESSAM, JW
    PLACE, CM
    [J]. JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1975, 8 (03): : 321 - 355
  • [2] RE-NORMALIZATION-GROUP RESULTS FOR BOND AND SITE PERCOLATION IN 2 AND 3 DIMENSIONS
    BURKHARDT, TW
    SOUTHERN, BW
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1978, 11 (10): : L253 - L257
  • [3] RENORMALIZATION-GROUP CALCULATION OF CRITICAL EXPONENTS FOR PERCOLATION
    DASGUPTA, C
    [J]. PHYSICAL REVIEW B, 1976, 14 (03) : 1221 - 1224
  • [4] DEGENNES PG, 1976, J PHYS LETT-PARIS, V37, pL1, DOI 10.1051/jphyslet:019760037010100
  • [5] SCALING THEORY FOR PAIR-CONNECTEDNESS IN PERCOLATION MODELS
    DUNN, AG
    ESSAM, JW
    LOVELUCK, JM
    [J]. JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1975, 8 (06): : 743 - 750
  • [6] SPIN MODELS AND CLUSTER DISTRIBUTIONS FOR BOND AND SITE PERCOLATION MODELS
    GIRI, MR
    STEPHEN, MJ
    GREST, GS
    [J]. PHYSICAL REVIEW B, 1977, 16 (11): : 4971 - 4977
  • [7] RENORMALIZATION-GROUP APPROACH TO PERCOLATION PROBLEMS
    HARRIS, AB
    LUBENSKY, TC
    HOLCOMB, WK
    DASGUPTA, C
    [J]. PHYSICAL REVIEW LETTERS, 1975, 35 (06) : 327 - 330
  • [8] Hemmer P.C., 1976, PHASE TRANSITIONS CR
  • [9] PERCOLATION THRESHOLDS IN ISING MAGNETS AND CONDUCTING MIXTURES
    KIRKPATRICK, S
    [J]. PHYSICAL REVIEW B, 1977, 15 (03): : 1533 - 1538
  • [10] Ma S-K, 1976, MODERN THEORY CRITIC