STATISTICAL-MECHANICS OF LAPLACIAN FRACTALS

被引：7
|
作者：
ELEZGARAY, J
MUZY, JF
ARGOUL, F
ARNEODO, A
机构：
[1] Centre de Recherche Paul Pascal, 33600 Pessac, avenue Schweitzer
来源：
PHYSICAL REVIEW LETTERS | 1993年 / 71卷 / 15期
关键词：
D O I：
10.1103/PhysRevLett.71.2425
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We report on numerical evidence for a statistical mechanics description of the probability distribution of clusters grown on a square lattice with the eta model. The morphology selection mechanism in Laplacian growth phenomena is formulated in terms of two functions alpha(eta) and beta(eta), which play the role of a free energy and an inverse temperature, respectively. Invariants of the growth process such as the fractal dimension of a typical cluster and the singularity spectrum of its harmonic measure are computed from these thermodynamic quantities.
引用
收藏
页码：2425 / 2428
页数：4
相关论文
共 50 条
  • [41] APPROACHES TO NONEQUILIBRIUM STATISTICAL-MECHANICS
    DOUGHERTY, JP
    MAXIMUM ENTROPY AND BAYESIAN METHODS /, 1989, 36 : 131 - 136
  • [42] STATISTICAL-MECHANICS OF NEURAL COMPUTATION
    HERTZ, JA
    INTERNATIONAL JOURNAL OF SUPERCOMPUTER APPLICATIONS AND HIGH PERFORMANCE COMPUTING, 1988, 2 (04): : 54 - 62
  • [43] STATISTICAL-MECHANICS OF REPETITIVE DNA
    TRUBATCH, SL
    BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1974, 19 (04): : 481 - 481
  • [44] STATISTICAL-MECHANICS OF COSMIC STRINGS
    MITCHELL, D
    TUROK, N
    PHYSICAL REVIEW LETTERS, 1987, 58 (15) : 1577 - 1580
  • [45] STATISTICAL-MECHANICS OF SOLITON SYSTEMS
    TSUZUKI, T
    SASAKI, K
    PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT, 1988, (94): : 73 - 114
  • [46] THE STATISTICAL-MECHANICS OF THE ISING PERCEPTRON
    FONTANARI, JF
    MEIR, R
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (05): : 1077 - 1089
  • [47] THE STATISTICAL-MECHANICS OF LEARNING A RULE
    WATKIN, TLH
    RAU, A
    BIEHL, M
    REVIEWS OF MODERN PHYSICS, 1993, 65 (02) : 499 - 556
  • [48] CLUSTER EXPANSION IN STATISTICAL-MECHANICS
    BRYDGES, D
    FEDERBUSH, P
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1976, 49 (03) : 233 - 246
  • [49] STATISTICAL-MECHANICS OF LINE LIQUIDS
    BHATTACHARYA, I
    MOHANTY, U
    JOURNAL OF CHEMICAL PHYSICS, 1993, 99 (09): : 6461 - 6464
  • [50] RELATION OF DYNAMICS TO STATISTICAL-MECHANICS
    PRIGOGINE, I
    GRECOS, A
    GEORGE, C
    CELESTIAL MECHANICS, 1977, 16 (04): : 489 - 507
12345