Multifractal scaling analysis of diffusion-limited reactions with devil's staircase and Cantor set catalytic structures

R. Gutfraind; M. Sheintuch; D. Avnir

doi:10.1016/0009-2614(90)85318-7

Multifractal scaling analysis of diffusion-limited reactions with devil's staircase and Cantor set catalytic structures

R. Gutfraind^*
, M. Sheintuch
, D. Avnir

^*Corresponding author for this work

Institute of Chemistry

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	8-12
Number of pages	5
Journal	Chemical Physics Letters
Volume	174
Issue number	1
DOIs	https://doi.org/10.1016/0009-2614(90)85318-7
State	Published - 26 Nov 1990

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title = "Multifractal scaling analysis of diffusion-limited reactions with devil's staircase and Cantor set catalytic structures",

abstract = "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.",

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AU - Avnir, D.

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N2 - 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.

AB - 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.

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Multifractal scaling analysis of diffusion-limited reactions with devil's staircase and Cantor set catalytic structures

Abstract

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