MULTIFRACTALITY OF RANDOM-WALKS AND LOCALIZED EXCITATIONS ON LINEAR RANDOM FRACTALS

被引:5
|
作者
ROMAN, HE
机构
[1] I. Institut für Theoretische Physik, Universität Hamburg, W-2000 Hamburg 36
来源
PHYSICA A | 1992年 / 191卷 / 1-4期
关键词
D O I
10.1016/0378-4371(92)90554-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Random walks and localized excitations on topologically one-dimensional random fractals, such as paths generated by simple random walks in d-dimensional lattices, are studied. These simple systems display a reach scenario of multifractal behavior in both the probability distribution of the random walks and the localization properties of the wave-functions.
引用
收藏
页码:379 / 385
页数:7
相关论文
共 50 条
  • [1] RANGE OF MULTIFRACTALITY FOR RANDOM-WALKS ON RANDOM FRACTALS
    EISENBERG, E
    BUNDE, A
    HAVLIN, S
    ROMAN, HE
    PHYSICAL REVIEW E, 1993, 47 (04): : 2333 - 2335
  • [2] VIBRATIONS AND RANDOM-WALKS ON RANDOM FRACTALS - ANOMALOUS BEHAVIOR AND MULTIFRACTALITY
    BUNDE, A
    ROMAN, HE
    PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES, 1992, 65 (02): : 191 - 211
  • [3] RANDOM-WALKS ON FRACTALS
    BALAKRISHNAN, V
    MATERIALS SCIENCE AND ENGINEERING B-SOLID STATE MATERIALS FOR ADVANCED TECHNOLOGY, 1995, 32 (03): : 201 - 210
  • [4] MULTIFRACTAL FEATURES OF RANDOM-WALKS ON RANDOM FRACTALS
    BUNDE, A
    HAVLIN, S
    ROMAN, HE
    PHYSICAL REVIEW A, 1990, 42 (10): : 6274 - 6277
  • [5] SUPERLOCALIZATION, CORRELATIONS AND RANDOM-WALKS ON FRACTALS
    AHARONY, A
    HARRIS, AB
    PHYSICA A, 1990, 163 (01): : 38 - 46
  • [6] RANDOM-WALKS ON FRACTALS - HIGHER MOMENTS
    ARGYRAKIS, P
    ANACKER, LW
    KOPELMAN, R
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (02): : 569 - 573
  • [7] STRUCTURE OF RANDOM FRACTALS AND THE PROBABILITY-DISTRIBUTION OF RANDOM-WALKS
    ROMAN, HE
    PHYSICAL REVIEW E, 1995, 51 (06): : 5422 - 5425
  • [8] SUPERUNIVERSALITY OF ACCELERATION CORRELATIONS FOR RANDOM-WALKS ON FRACTALS
    NAKANISHI, H
    MEIR, Y
    GEFEN, Y
    AHARONY, A
    SCHOFIELD, P
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (03): : L153 - L158
  • [9] ON THE LOCALIZATION OF RANDOM-WALKS AND VIBRATIONAL EXCITATIONS IN LINEAR FRACTAL STRUCTURES
    BUNDE, A
    DRAGER, J
    PHYSICA A, 1994, 202 (3-4): : 371 - 378
  • [10] Multifractal features of random walks and localized vibrational excitations on random fractals: Dependence on the averaging procedure
    Drager, J
    Bunde, A
    PHYSICAL REVIEW E, 1996, 54 (05): : 4596 - 4602