FRACTON DIMENSIONALITIES FOR FIELD-BIASED DIFFUSION-LIMITED AGGREGATION CLUSTERS

被引:2
作者
PENG, GW [1 ]
TIAN, DC [1 ]
机构
[1] ACAD SINICA, INT CTR MAT PHYS, SHENYANG 110015, PEOPLES R CHINA
关键词
D O I
10.1103/PhysRevB.43.8572
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The vibrational densities of states for a series of field-biased diffusion-limited aggregation clusters with varying fractal dimensions in two Euclidean dimensions are computed numerically by the continued-fraction recursion method. It is confirmed that the density of states is characterized by a power-law behavior in the fracton-frequency regime. The fraction dimensionalities are found to favor the Aharony-Stauffer conjecture in the present case. Numerical results also show that the fraction mode is strongly localized in the diffusion-limited aggregation systems.
引用
收藏
页码:8572 / 8575
页数:4
相关论文
共 50 条
  • [31] FRACTALS, AND DIFFUSION-LIMITED AGGREGATION
    BARLOW, MT
    [J]. BULLETIN DES SCIENCES MATHEMATIQUES, 1993, 117 (01): : 161 - 169
  • [32] ELECTRODEPOSITION AND DIFFUSION-LIMITED AGGREGATION
    HALSEY, TC
    LEIBIG, M
    [J]. JOURNAL OF CHEMICAL PHYSICS, 1990, 92 (06) : 3756 - 3767
  • [33] MAGNETIC DIFFUSION-LIMITED AGGREGATION
    VANDEWALLE, N
    AUSLOOS, M
    [J]. PHYSICAL REVIEW E, 1995, 51 (01): : 597 - 603
  • [34] CROSSOVER IN DIFFUSION-LIMITED AGGREGATION
    NAUENBERG, M
    RICHTER, R
    SANDER, LM
    [J]. PHYSICAL REVIEW B, 1983, 28 (03): : 1649 - 1651
  • [35] ANISOTROPIC GROWTH OF THE GENERALIZED DIFFUSION-LIMITED AGGREGATION CLUSTERS ON A SQUARE LATTICE
    OHTSUKI, H
    MATSUSHITA, M
    HAYAKAWA, Y
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1988, 57 (12) : 4086 - 4089
  • [36] Fractal dimension of diffusion-limited aggregation clusters grown on spherical surfaces
    Tenti, J. M.
    Hernandez Guiance, S. N.
    Irurzun, I. M.
    [J]. PHYSICAL REVIEW E, 2021, 103 (01)
  • [37] ACTIVE ZONE OF GROWING CLUSTERS - DIFFUSION-LIMITED AGGREGATION AND THE EDEN MODEL
    PLISCHKE, M
    RACZ, Z
    [J]. PHYSICAL REVIEW LETTERS, 1984, 53 (05) : 415 - 418
  • [38] Diffusion-limited aggregation: A revised mean-field approach
    Bogoyavlenskiy, Vladislav A.
    Chernova, Natasha A.
    [J]. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2000, 61 (05): : 5422 - 5428
  • [39] MEAN-FIELD DIFFUSION-LIMITED AGGREGATION IN RADIAL GEOMETRIES
    LEVINE, H
    TU, YH
    [J]. PHYSICAL REVIEW A, 1992, 45 (02): : 1053 - 1057
  • [40] Diffusion-limited aggregation: A revised mean-field approach
    Bogoyavlenskiy, VA
    Chernova, NA
    [J]. PHYSICAL REVIEW E, 2000, 61 (05): : 5422 - 5428