Invariant field metrics and dynamical scalings on fractals

被引：38

作者：

Mosco, U

机构：

[1] Dipartimento di Matematica, Università di Roma “La Sapienza”, Roma

来源：

PHYSICAL REVIEW LETTERS | 1997年 / 79卷 / 21期

关键词：

D O I：

10.1103/PhysRevLett.79.4067

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The dynamics of self-similar free fractals is described in terms of a local energy and an effective metric, which produce intrinsic field equations and diffusion within the structure. When focused in the Lagrangian metric, basic dynamical laws exhibit natural universal scaling.

引用

页码：4067 / 4070

页数：4

共 19 条

[1] SUPERLOCALIZATION, CORRELATIONS AND RANDOM-WALKS ON FRACTALS [J].

AHARONY, A ;

HARRIS, AB .

PHYSICA A, 1990, 163 (01) :38-46

[2]

ALEXANDER S, 1982, J PHYS LETT-PARIS, V43, pL625, DOI 10.1051/jphyslet:019820043017062500

[3]

BARLOW M, 1989, ANN I H POINCARE PRO, V25, P3

[4] BROWNIAN-MOTION ON THE SIERPINSKI GASKET [J].

BARLOW, MT ;

PERKINS, EA .

PROBABILITY THEORY AND RELATED FIELDS, 1988, 79 (04) :543-623

[5] MULTIFRACTAL FEATURES OF RANDOM-WALKS ON RANDOM FRACTALS [J].

BUNDE, A ;

HAVLIN, S ;

ROMAN, HE .

PHYSICAL REVIEW A, 1990, 42 (10) :6274-6277

[6]

Bunde A., 1991, FRACTALS DISORDERED

[7] ANOMALOUS DIFFUSION ON PERCOLATING CLUSTERS [J].

GEFEN, Y ;

AHARONY, A ;

ALEXANDER, S .

PHYSICAL REVIEW LETTERS, 1983, 50 (01) :77-80

[8] SOLVABLE FRACTAL FAMILY, AND ITS POSSIBLE RELATION TO THE BACKBONE AT PERCOLATION [J].

GEFEN, Y ;

AHARONY, A ;

MANDELBROT, BB ;

KIRKPATRICK, S .

PHYSICAL REVIEW LETTERS, 1981, 47 (25) :1771-1774

[9] DIFFUSIVE MOTION ON A FRACTAL - GNM(T) [J].

GUYER, RA .

PHYSICAL REVIEW A, 1985, 32 (04) :2324-2335

[10] DIFFUSION IN DISORDERED MEDIA [J].

HAVLIN, S ;

BENAVRAHAM, D .

ADVANCES IN PHYSICS, 1987, 36 (06) :695-798

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