The Fractal (BSf) Kinetics Equation and Its Approximations  

作　　者：F. Brouers 

机构地区：[1]Department of Chemical Engineering, Liege University, Liege, Belgium

出　　处：《Journal of Modern Physics》2014年第16期1594-1601,共8页现代物理（英文）

摘　　要：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.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.

关 键 词：FRACTAL KINETICS Farmacokinetics Cancer Research Water Treatment Adsorption POROUS Materials ACTIVATED CARBONS 

分 类 号：O1[理学—数学]