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Autopoisoning reactions over rough surface: A multifractal scaling analysis
Author(s) -
Chaudhari Ajay,
Yan ChingCher Sanders,
Lee ShyiLong
Publication year - 2005
Publication title -
international journal of chemical kinetics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.341
H-Index - 68
eISSN - 1097-4601
pISSN - 0538-8066
DOI - 10.1002/kin.20062
Subject(s) - multifractal system , scaling , chemistry , homogeneity (statistics) , surface roughness , reaction rate , range (aeronautics) , surface finish , statistical physics , thermodynamics , fractal , statistics , physics , mathematics , geometry , materials science , mathematical analysis , biochemistry , composite material , catalysis
Abstract The effect of surface roughness and number of reaction event on the decay type diffusion limited reaction (DLR) over rough surface of random deposition model was studied to examine the surface morphological effect on the surface reaction. Effect of decay profiles on the reaction probability distribution (RPD) of the reaction was then analyzed with multifractal scaling techniques. The dynamics of these autopoisoning reactions is controlled by the two parameters, namely, the initial sticking probability ( P ini ) of every site and the decay rate ( m ). More the rough surface, less are the number of active sites and wider is the distribution of reaction probability. More the number of reaction events, more are the number of active sites and more is the homogeneity in the RPD. The q ‐τ( q ) multifractal curves are found to be nonlinear for all the cases which give wide range of α values in α‐ f (α) multifractal spectrum. Smaller the decay rate, narrower is the range of α values. © 2005 Wiley Periodicals, Inc. Int J Chem Kinet 37: 175–182, 2005