DYNAMICAL PROPERTIES OF FRACTAL NETWORKS - SCALING, NUMERICAL SIMULATIONS, AND PHYSICAL REALIZATIONS

被引:429
作者
NAKAYAMA, T [1 ]
YAKUBO, K [1 ]
ORBACH, RL [1 ]
机构
[1] UNIV CALIF RIVERSIDE, DEPT PHYS, RIVERSIDE, CA 92521 USA
关键词
D O I
10.1103/RevModPhys.66.381
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This article describes the advances that have been made over the past ten years on the problem of fracton excitations in fractal structures. The relevant systems to this subject are so numerous that focus is limited to a specific structure, the percolating network. Recent progress has followed three directions: scaling, numerical simulations, and experiment. In a happy coincidence, large-scale computations, especially those involving array processors, have become possible in recent years. Experimental techniques such as light- and neutron-scattering experiments have also been developed. Together, they form the basis for a review article useful as a guide to understanding these developments and for charting future research directions. In addition, new numerical simulation results for the dynamical properties of diluted antiferromagnets are presented and interpreted in terms of scaling arguments. The authors hope this article will bring the major advances and future issues facing this field into clearer focus, and will stimulate further research on the dynamical properties of random systems.
引用
收藏
页码:381 / 443
页数:63
相关论文
共 545 条
  • [61] BORJESSON L, 1989, SPRINGER P PHYSICS, V37, P316
  • [62] Born M., 1954, DYNAMICAL THEORY CRY
  • [63] VIBRATIONAL PROPERTIES OF BOND-DILUTED TRIANGULAR LATTICES
    BOTTGER, H
    FREYBERG, A
    WEGENER, D
    [J]. ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1990, 79 (03): : 415 - 422
  • [64] ANOMALOUS DIFFUSION IN DISORDERED MEDIA - STATISTICAL MECHANISMS, MODELS AND PHYSICAL APPLICATIONS
    BOUCHAUD, JP
    GEORGES, A
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1990, 195 (4-5): : 127 - 293
  • [65] LOW-FREQUENCY RAMAN-SCATTERING FROM FRACTAL VIBRATIONAL-MODES IN A SILICA-GEL
    BOUKENTER, A
    CHAMPAGNON, B
    DUVAL, E
    DUMAS, J
    QUINSON, JF
    SERUGHETTI, J
    [J]. PHYSICAL REVIEW LETTERS, 1986, 57 (19) : 2391 - 2394
  • [66] RAMAN OBSERVATION OF FRACTONS IN SILICA-AEROGELS
    BOUKENTER, A
    CHAMPAGNON, B
    DUMAS, J
    DUVAL, E
    QUINSON, JF
    SERUGHETTI, J
    [J]. JOURNAL OF NON-CRYSTALLINE SOLIDS, 1987, 95-6 : 1189 - 1196
  • [67] RAMAN-SCATTERING IN AMORPHOUS AND CRYSTALLINE MATERIALS - A STUDY OF EPOXY-RESIN AND DGEBA
    BOUKENTER, A
    DUVAL, E
    ROSENBERG, HM
    [J]. JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1988, 21 (15): : L541 - L547
  • [68] VIBRATIONS IN REGULAR AND DISORDERED FRACTALS - FROM CHANNELING WAVES TO FRACTONS
    BOURBONNAIS, R
    MAYNARD, R
    BENOIT, A
    [J]. JOURNAL DE PHYSIQUE, 1989, 50 (22): : 3331 - 3345
  • [69] LOW-DENSITY SILICA AEROGELS OBSERVED BY HIGH-RESOLUTION ELECTRON-MICROSCOPY
    BOURRET, A
    [J]. EUROPHYSICS LETTERS, 1988, 6 (08): : 731 - 737
  • [70] ORDERING IN 2-DIMENSIONAL AND 3-DIMENSIONAL DILUTED HEISENBERG ANTIFERROMAGNETS
    BREED, DJ
    GILIJAMSE, K
    STERKENBURG, JW
    MIEDEMA, AR
    [J]. JOURNAL OF APPLIED PHYSICS, 1970, 41 (03) : 1267 - +