DYNAMIC STRUCTURE FACTOR AND SINGLE-LENGTH SCALING FOR RANDOM FRACTALS

被引：11

作者：

NAKAYAMA, T

YAKUBO, K

机构：

[1] Department of Applied Physics, Hokkaido University

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1992年 / 61卷 / 08期

关键词：

PERCOLATION; FRACTAL; FRACTON; DYNAMIC SCALING; DYNAMIC STRUCTURE FACTOR;

D O I：

10.1143/JPSJ.61.2601

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We compute the dynamic structure factors S(q, omega) for large-scale percolating networks with site numbers of the order of 10(5), by applying a novel numerical method suitable for an array-processing supercomputer. It is confirmed that the dynamic structure factors are scaled by a single characteristic length LAMBDA(omega). The scaling function h(x), where x = q-LAMBDA-(omega), behaves as x3.2 for x >> 1, and x-2.4 for x << 1. These results are argued in terms of a scaling theory for S(q, omega).

引用

收藏

页码：2601 / 2605

页数：5

相关论文

共 22 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 S, IN PRESS PHYS REV B

[4] LOW-FREQUENCY RAMAN-SCATTERING FROM FRACTAL VIBRATIONAL-MODES IN A SILICA-GEL [J].

BOUKENTER, A ;

CHAMPAGNON, B ;

DUVAL, E ;

DUMAS, J ;

QUINSON, JF ;

SERUGHETTI, J .

PHYSICAL REVIEW LETTERS, 1986, 57 (19) :2391-2394

[5] EXPERIMENTS ON THE STRUCTURE AND VIBRATIONS OF FRACTAL SOLIDS [J].

COURTENS, E ;

VACHER, R .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1989, 423 (1864) :55-69

[6] LOW-FREQUENCY SURFACE-ENHANCED RAMAN-SCATTERING FROM FRACTAL VIBRATIONAL-MODES LOCALIZED AT THE NACL-NA COLLOID INTERFACE [J].

DUVAL, E ;

MARIOTTO, G ;

MONTAGNA, M ;

PILLA, O ;

VILIANI, G ;

BARLAND, M .

EUROPHYSICS LETTERS, 1987, 3 (03) :333-339

[7] RAMAN-SPECTROSCOPY STUDY OF SUPERIONIC (AGI)X(AG2O.B2O3)1-X GLASSES EVIDENCE OF FRACTAL BEHAVIOR [J].

FONTANA, A ;

ROCCA, F ;

FONTANA, MP .

PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES, 1987, 56 (02) :251-255

[8] DIRECT EXPERIMENTAL-DETERMINATION OF THE CROSSOVER FREQUENCY BETWEEN PHONON AND FRACTON REGIMES AND ITS SCALING BEHAVIOR IN SUPERIONIC SILVER BORATE GLASSES [J].

FONTANA, A ;

ROCCA, F ;

FONTANA, MP .

PHYSICAL REVIEW LETTERS, 1987, 58 (05) :503-506

[9] DENSITY OF STATES IN FRACTAL SILICA SMOKE-PARTICLE AGGREGATES [J].

FRELTOFT, T ;

KJEMS, J ;

RICHTER, D .

PHYSICAL REVIEW LETTERS, 1987, 59 (11) :1212-1215

[10]

HASSAN HA, 1988, SOLID STATE COMMUN, V68, P733