NUMERICAL VERIFICATION OF SCALING FOR SCATTERING FROM FRACTONS

被引：45

作者：

STOLL, E ^{[1
]}

KOLB, M ^{[1
]}

COURTENS, E ^{[1
]}

机构：

[1] ECOLE NORM SUPER,CHIM THEOR LAB,F-69364 LYONS 07,FRANCE

来源：

PHYSICAL REVIEW LETTERS | 1992年 / 68卷 / 16期

关键词：

D O I：

10.1103/PhysRevLett.68.2472

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The single-length-scale postulate for fractons and the scaling hypothesis for the dynamic structure factor are confirmed for scalar elasticity on bond-percolation clusters. The strain exponent-sigma is determined in two and three dimensions. Because of granularity and finite-size effects, these results cannot be obtained from site-percolation models for which the short-range structure fails to scale. Dipole-induced-dipole scattering is particularly sensitive to granularity.

引用

页码：2472 / 2475

页数：4

共 18 条

[1]

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

[2] VIBRATIONS OF FRACTALS AND SCATTERING OF LIGHT FROM AEROGELS [J].

ALEXANDER, S .

PHYSICAL REVIEW B, 1989, 40 (11) :7953-7965

[3]

ALEXANDER SA, IN PRESS

[4] FRACTONS OBSERVED [J].

COURTENS, E ;

VACHER, R ;

STOLL, E .

PHYSICA D-NONLINEAR PHENOMENA, 1989, 38 (1-3) :41-55

[5]

COURTENS E, IN PRESS PHILOS MA B

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

GEFEN, Y ;

AHARONY, A ;

ALEXANDER, S .

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

[7] VIBRATION PROPERTIES OF A PERCOLATING CLUSTER [J].

GREST, GS ;

WEBMAN, I .

JOURNAL DE PHYSIQUE LETTRES, 1984, 45 (24) :1155-1160

[8] NUMERICAL STUDY OF RAMAN-SCATTERING FROM FRACTALS [J].

MONTAGNA, M ;

PILLA, O ;

VILIANI, G ;

MAZZACURATI, V ;

RUOCCO, G ;

SIGNORELLI, G .

PHYSICAL REVIEW LETTERS, 1990, 65 (09) :1136-1139

[9]

RAMMAL R, 1983, J PHYS LETT-PARIS, V44, pL13, DOI 10.1051/jphyslet:0198300440101300

[10] DYNAMIC STRUCTURE FACTOR OF A DETERMINISTIC FRACTAL [J].

SIVAN, U ;

BLUMENFELD, R ;

MEIR, Y ;

ENTINWOHLMAN, O .

EUROPHYSICS LETTERS, 1988, 7 (03) :249-253

← 1 2 →