MULTIFRACTALITY OF THE CURRENT DISTRIBUTION IN DIRECTED PERCOLATION

被引：4
|
作者：
SCHMITTBUHL, J
OLIVIER, G
ROUX, S
机构：
[1] ECOLE NORMALE 3, ANTANANARIVO, MADAGASCAR
[2] ECOLE SUPER PHYS & CHIM IND, PHYS & MECAN MATERIAUX HETEROGENES LAB, CNRS, URA 857, F-75231 PARIS 05, FRANCE
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1992年 / 25卷 / 08期
关键词：
D O I：
10.1088/0305-4470/25/8/025
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We investigate numerically the distribution of currents in a two-dimensional diode network at the directed percolation threshold. We obtain the multifractal spectrum of this distribution as well as other scaling properties such as the fractal dimension of the backbone, and the scaling of the conductivity. The analysis of the multifractal spectrum provides information about the singly connected bonds in the lattice.
引用
收藏
页码：2119 / 2125
页数：7
相关论文
共 50 条
  • [1] Multifractality in directed percolation
    Stenull, O
    Janssen, HK
    EUROPHYSICS LETTERS, 2001, 55 (05): : 691 - 697
  • [2] HALL-EFFECT ON MULTIFRACTALITY OF CURRENT DISTRIBUTION AT PERCOLATION-THRESHOLD
    NAGATANI, T
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (23): : L1331 - L1334
  • [3] MULTIFRACTALITY IN ELASTIC PERCOLATION
    HANSEN, A
    ROUX, S
    JOURNAL OF STATISTICAL PHYSICS, 1988, 53 (3-4) : 759 - 771
  • [4] Multifractality in rotational percolation models
    Sinha, Santanu
    Santra, S. B.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 376 : 351 - 360
  • [5] MULTIFRACTALITY OF CONDUCTANCE JUMPS IN PERCOLATION
    ROUX, S
    HANSEN, A
    HINRICHSEN, EL
    PHYSICAL REVIEW B, 1991, 43 (04): : 3601 - 3612
  • [6] OFF-THRESHOLD MULTIFRACTALITY IN PERCOLATION
    ROUX, S
    HANSEN, A
    EUROPHYSICS LETTERS, 1989, 8 (08): : 729 - 734
  • [7] Master operators govern multifractality in percolation
    Stenull, O
    Janssen, HK
    EUROPHYSICS LETTERS, 2000, 51 (05): : 539 - 545
  • [8] Multifractality and percolation in the coupling space of perceptrons
    Weigt, M
    Engel, A
    PHYSICAL REVIEW E, 1997, 55 (04): : 4552 - 4561
  • [9] VIBRATIONAL EXCITATIONS IN PERCOLATION - LOCALIZATION AND MULTIFRACTALITY
    BUNDE, A
    ROMAN, HE
    RUSS, S
    AHARONY, A
    HARRIS, AB
    PHYSICAL REVIEW LETTERS, 1992, 69 (22) : 3189 - 3192
  • [10] Two Time Distribution in Brownian Directed Percolation
    Kurt Johansson
    Communications in Mathematical Physics, 2017, 351 : 441 - 492
12345