%0 Journal Article
%T The Fractal (BSf) Kinetics Equation and Its Approximations
%A F. Brouers
%J Journal of Modern Physics
%P 1594-1601
%@ 2153-120X
%D 2014
%I Scientific Research Publishing
%R 10.4236/jmp.2014.516160
%X We
discuss the <i>Brouers-Sotolongo</i> fractal (BSf) kinetics model. This
formalism interpolates between the first and second order kinetics. But more
importantly, it introduces not only a fractional order <i>n</i> but also a fractal time parameter <i>a</i> 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 <i>Weibull</i> and <i>Hill</i> kinetics which are the two
most popular approximations of the BSf (<i>n</i>, <i>a</i>) 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.
%K Fractal Kinetics
%K Farmacokinetics
%K Cancer Research
%K Water Treatment
%K Adsorption
%K Porous Materials
%K Activated Carbons
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=50605