Multifractal scaling analysis of reactions over fractal surfaces

Abstract Simulations of the Eley-Rideal diffusion-limited reaction mechanism and its modified versions over surfaces of different fractal objects having different fractal dimensions were performed using the Monte Carlo random walk algorithm. Effects on the reaction probability distribution (RPD) were examined by employing various sticking probability functions. Other effects also studied included cluster size effects and noise reduction. Multifractal analyses were then carried out on the reaction probability distribution to study the effects of those factors on model chemical reactions.

[1]  M. Toney,et al.  Roughness and porosity characterization of carbon and magnetic films through adsorption isotherm measurements , 1989 .

[2]  Peter Pfeifer,et al.  Molecular fractal surfaces , 1984, Nature.

[3]  Peter Pfeifer,et al.  Chemistry in noninteger dimensions between two and three. I. Fractal theory of heterogeneous surfaces , 1983 .

[4]  D. Avnir,et al.  Thermodynamics of gas adsorption on fractal surfaces of heterogeneous microporous solids , 1990 .

[5]  D. Farin,et al.  The reaction dimension in catalysis on dispersed metals , 1988 .

[6]  Witten,et al.  Scaling properties for the surfaces of fractal and nonfractal objects: An infinite hierarchy of critical exponents. , 1986, Physical review. A, General physics.

[7]  A. Adamson.  Physical chemistry of surfaces , 1960 .

[8]  M. Jaroniec,et al.  Surface fractal dimension of microporous carbon fibres by nitrogen adsorption , 1991 .

[9]  Shyi-Long Lee,et al.  SIMULATION OF DIFFUSION-LIMITED AGGREGATION AND REACTIONS OVER ITS SURFACES , 1994 .

[10]  H. Damme,et al.  Multilayer physical adsorption on fractal surfaces , 1986 .

[11]  J. M. Cook,et al.  The fractal approach to heterogeneous chemistry , 1990 .

[12]  K. A. Connors.  Chemical Kinetics: The Study of Reaction Rates in Solution , 1990 .

[13]  Michel Boudart,et al.  Kinetics of Heterogeneous Catalytic Reactions , 1984 .

[14]  Douglas M. Smith,et al.  Characterization of Porous Solids , 1994 .

[15]  Shyi-Long Lee,et al.  Multifractal analysis of diffusion-limited reactions over surfaces of diffusion-limited aggregates , 1993 .

[16]  D. Farin,et al.  Chemistry in noninteger dimensions between two and three. II: Fractal surfaces of adsorbents , 1983 .

[17]  Fractal clustering of reactants on a catalyst surface. , 1986, Physical review. B, Condensed matter.

[18]  M. Sheintuch,et al.  Deterministic approaches to problems of diffusion, reaction and adsorption in a fractal porous catalyst , 1989 .

[19]  M. Giona.  First-order reaction—diffusion kinetics in complex fractal media , 1992 .

[20]  Wu,et al.  Multilayer adsorption on a fractally rough surface. , 1989, Physical review letters.

[21]  H. Stanley,et al.  Multifractal phenomena in physics and chemistry , 1988, Nature.

[22]  Stephen A. Rice.  Diffusion-limited reactions , 1985 .

[23]  T. Sukegawa,et al.  Surface fractal dimensional change of microporous carbon fibers with partial graphitization , 1991 .

[24]  D. Avnir,et al.  Multifractal scaling analysis of diffusion-limited reactions with devil's staircase and Cantor set catalytic structures , 1990 .

[25]  D. Avnir,et al.  Fractal and multifractal analysis of the sensitivity of catalytic reactions to catalyst structure , 1991 .

[26]  Yongbai Yin,et al.  Adsorption isotherm on fractally porous materials , 1991 .

[27]  Aharony,et al.  Breakdown of multifractal behavior in diffusion-limited aggregates. , 1989, Physical review letters.

[28]  Albano,et al.  Adsorption isotherms on fractal substrata. , 1989, Physical review. A, General physics.

[29]  M. Kraft,et al.  Fractal analysis of pores , 1988 .

[30]  Stanley,et al.  Phase transition in the multifractal spectrum of diffusion-limited aggregation. , 1988, Physical review letters.

[31]  M. Jaroniec.  Evaluation of the fractal dimension of microporous activated carbons , 1990 .

[32]  S. Havlin,et al.  Fractals and Disordered Systems , 1991 .

[33]  B. Sulikowski.  The fractal dimension in molecular sieves: synthetic faujasite and related solids , 1993 .

[34]  D. Avnir,et al.  An isotherm equation for adsorption on fractal surfaces of heterogeneous porous materials , 1989 .

[35]  M. Sheintuch,et al.  Scaling approach to study diffusion and reaction processes on fractal catalysts , 1992 .

[36]  C. Jolicoeur,et al.  Surface fractal dimensions of some industrial minerals from gas-phase adsorption isotherms , 1992 .

[37]  Jensen,et al.  Erratum: Fractal measures and their singularities: The characterization of strange sets , 1986, Physical review. A, General physics.