Rationale and Myth of Thermoanalytical Kinetic Patterns: How to Model Reaction Mechanisms by the Euclidean and Fractal Geometry and by Logistic Approach

Abstract

Modeling tradition is reviewed within its historical maturity from Greek Plato to modern Penrose. Metaphors in non-isothermal kinetics achieved a wide application mostly employing models derived by means of undemanding isothermal descriptions. Geometrical basis of such modeling is revised and discussed in terms of symmetrical and asymmetrical (pentagonal) schemes. The properties of interface (reaction separating line) are found decisive in all cases of heterogeneous kinetics and can be acquainted with defects. The use of yet atypical fractal geometry is accredited, and associated formal kinetic models based on non-integral power exponents are acknowledged. Mathematical commencement and impact of logistic models are used highlighting the Sesták–Berggren (SB) equationSestak-Berggren equation and the impact of logistic approach as a generalized exploit. Typical erroneous beliefs are dealt with showing common kinetic misinterpretation of measured data and associated mathematical manipulability of kinetic equations. The correction of a measured DTA peak is mentioned assuming the effects of heat inertia and temperature gradients. The chapter contains 117 references.