TITLE:
The Fractal (BSf) Kinetics Equation and Its Approximations
AUTHORS:
F. Brouers
KEYWORDS:
Fractal Kinetics, Farmacokinetics, Cancer Research, Water Treatment, Adsorption, Porous Materials, Activated Carbons
JOURNAL NAME:
Journal of Modern Physics,
Vol.5 No.16,
October
20,
2014
ABSTRACT: We
discuss the Brouers-Sotolongo fractal (BSf) kinetics model. This
formalism interpolates between the first and second order kinetics. But more
importantly, it introduces not only a fractional order n but also a fractal time parameter a which characterizes the time variation of the rate constant. This
exponent appears in non-exponential relaxation and complex reaction models as
demonstrated by the extended use of the Weibull and Hill kinetics which are the two
most popular approximations of the BSf (n, a) kinetic equation as well in
non-Debye relaxation formulas. We show that the use of nonlinear programs
allows an easy and precise fitting of the data yielding the BSf parameters
which have simple physical interpretations.