Fractal to nonfractal phase transition in the dielectric breakdown model

被引：22
|
作者：
Hastings, MB [1 ]
机构：
[1] Los Alamos Natl Lab, CNLS, Los Alamos, NM 87545 USA
来源：
PHYSICAL REVIEW LETTERS | 2001年 / 87卷 / 17期
关键词：
D O I：
10.1103/PhysRevLett.87.175502
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A fast method is presented for simulating the dielectric-breakdown model using iterated conformal mappings. Numerical results for the dimension and for corrections to scaling are in good agreement with the recent renormalization group prediction of an upper critical eta (c) = 4, at which a transition occurs between branching fractal clusters and one-dimensional nonfractal clusters.
引用
收藏
页码：175502 / 175502
页数：4
相关论文
共 50 条
  • [41] SCALING PROPERTIES FOR THE SURFACES OF FRACTAL AND NONFRACTAL OBJECTS - AN INFINITE HIERARCHY OF CRITICAL EXPONENTS
    MEAKIN, P
    CONIGLIO, A
    STANLEY, HE
    WITTEN, TA
    [J]. PHYSICAL REVIEW A, 1986, 34 (04): : 3325 - 3340
  • [42] PHASE-TRANSITION ON THE VICSEK FRACTAL
    HU, Y
    TIAN, DC
    [J]. PHYSICS LETTERS A, 1994, 195 (02) : 171 - 175
  • [43] Fractal networks and phase transition in percolation
    Watanabe, MS
    [J]. 3RD INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS, 1998, : 867 - 872
  • [44] Energy storage optimization of ferroelectric ceramics during phase-transition process of amorphous/nanocrystalline and polycrystalline by using a phase-field model for dielectric breakdown
    Huang, Suilong
    Chen, Jianwen
    Su, Zhen
    Wang, Xiucai
    Zhu, Wenbo
    Chen, Wenjun
    Yu, Xinmei
    Xiao, Peng
    [J]. JOURNAL OF ADVANCED DIELECTRICS, 2024, 14 (01)
  • [45] PHASE-TRANSITION OF ISING-MODEL ON A KIND OF PERIODIC FRACTAL LATTICES
    WANG, ZD
    SHI, MY
    GONG, CD
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 1989, 12 (01) : 11 - 16
  • [46] A FRACTAL MODEL FOR PERIODONTAL BREAKDOWN IN PERIODONTAL-DISEASE
    LANDINI, G
    [J]. JOURNAL OF PERIODONTAL RESEARCH, 1991, 26 (03) : 176 - 179
  • [47] Tip splittings and phase transitions in the dielectric breakdown model: Mapping to the diffusion-limited aggregation model
    Mathiesen, J
    Jensen, MH
    [J]. PHYSICAL REVIEW LETTERS, 2002, 88 (23) : 4 - 235505
  • [48] SEMIMETAL - DIELECTRIC PHASE TRANSITION
    KOPAEV, YV
    [J]. SOVIET PHYSICS SOLID STATE,USSR, 1966, 8 (01): : 175 - +
  • [49] A SIMPLE APPARATUS FOR THE STUDY OF EXPERIMENTAL FRACTAL STRUCTURES IN GASEOUS DIELECTRIC-BREAKDOWN
    LOGAN, J
    TREURNIET, J
    BAWAGAN, ADO
    RIZZETTO, S
    BRAUN, JM
    AGUDA, BD
    [J]. CANADIAN JOURNAL OF CHEMISTRY-REVUE CANADIENNE DE CHIMIE, 1993, 71 (12): : 2079 - 2083
  • [50] Stochastic model of breakdown initiation in dielectric liquids
    Kupershtokh, AL
    Palchikov, EI
    Karpov, DI
    Vitellas, I
    Agoris, DP
    Charalambakos, VP
    [J]. JOURNAL OF PHYSICS D-APPLIED PHYSICS, 2002, 35 (23) : 3106 - 3121
12345