A theoretical description of the oxidation kinetics of polymer melt in fractal mediums

Abstract

It is shown that the fractal approach using fractional integration and derivation gives an adequate description of decelerated curves in relation to consumed oxygen-and time. A clear physical interpretation of the fractal exponent as a fractional part of the fractal dimension of a macromolecular coil is obtained. It also indicates that classical equation is a particularly limiting case of the fractal relationship applicable to Euclidean mediums. The initial oxygen amount is represented as a constant in basic fractal relationship, which is also a function of the macromolecular coil structure.

The fractal calibration method applied to the characterization of polymers in solvent mixtures and in mixed gel packings by SEC

“…Furthermore, the fractal approach is receiving increasing attention not only on the SEC chromatographic field [14,15] but also in very different subjects such as the curing process of epoxy resins [16], the scattering behaviour of hyperbranched polymer structures [17], the stabilization process [18] and oxidation kinetics [19] of polymer melts, or the use of fractal models to account for the heat conductivity [20] and selectivity of polymer membranes [21].…”