MULTIFRACTAL SCALING ANALYSIS OF DIFFUSION-LIMITED REACTIONS WITH DEVILS STAIRCASE AND CANTOR SET CATALYTIC STRUCTURES

被引：26

作者：

GUTFRAIND, R

SHEINTUCH, M

AVNIR, D

机构：

[1] HEBREW UNIV JERUSALEM,DEPT ORGAN CHEM,IL-91904 JERUSALEM,ISRAEL

[2] HEBREW UNIV JERUSALEM,FRITZ HABER RES CTR MOLEC DYNAM,IL-91904 JERUSALEM,ISRAEL

来源：

CHEMICAL PHYSICS LETTERS | 1990年 / 174卷 / 01期

关键词：

D O I：

10.1016/0009-2614(90)85318-7

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

We perform multifractal analysis of the reaction probability distribution of two related structures, a Cantor set and a related devil's staircase, with an Eley-Rideal diffusion limited catalytic reaction mechanism. We find that the f(α) profiles are significantly different even though these two objects are rather similar. Analysis of object size-effect indicates multifractal scaling of the distribution of reaction probability in these structures which are commonly found in metal catalysts. © 1990.

引用

页码：8 / 12

页数：5

共 17 条

[1]

ADAMSON AW, 1982, PHYSICAL CHEM SURFAC, pCH17

[2]

[Anonymous], 1981, CHEM 2 DIMENSIONS SU

[3] BREAKDOWN OF MULTIFRACTAL BEHAVIOR IN DIFFUSION-LIMITED AGGREGATES [J].

BLUMENFELD, R ;

AHARONY, A .

PHYSICAL REVIEW LETTERS, 1989, 62 (25) :2977-2980

[4]

Bond G.C., 1962, CATALYSIS METALS

[5]

Boudart M., 2014, KINETICS HETEROGENEO

[6] FRACTAL STRUCTURE OF THE EQUILIBRIUM CRYSTAL SHAPE [J].

BURKOV, SE .

JOURNAL DE PHYSIQUE, 1985, 46 (03) :317-327

[7] MULTIFRACTAL STRUCTURE OF CLUSTERS AND GROWING AGGREGATES [J].

CONIGLIO, A .

PHYSICA A, 1986, 140 (1-2) :51-61

[8] FRACTAL MEASURES AND THEIR SINGULARITIES - THE CHARACTERIZATION OF STRANGE SETS [J].

HALSEY, TC ;

JENSEN, MH ;

KADANOFF, LP ;

PROCACCIA, I ;

SHRAIMAN, BI .

PHYSICAL REVIEW A, 1986, 33 (02) :1141-1151

[9] EXACT ENUMERATION METHOD FOR DIFFUSION-LIMITED AGGREGATION [J].

HAVLIN, S ;

TRUS, BL .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (14) :L731-L735

[10] PHASE-TRANSITION IN THE MULTIFRACTAL SPECTRUM OF DIFFUSION-LIMITED AGGREGATION [J].

LEE, J ;

STANLEY, HE .

PHYSICAL REVIEW LETTERS, 1988, 61 (26) :2945-2948

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