Formal Kinetics

In a recent work, the present authors developed a new formal kinetics methodology suitablefor the situation in which transformations take place simultaneously or sequentially. In this work themain results of such a methodology are briefly presented in a simplified form. It is shown here howthis new methodology may be used for obtaining expressions for simultaneous or sequential reactionsfrom models of the kinetics of each reaction in isolation. It is also shown how one may extract theo-retical information from the experimentally measured quantities. Moreover, the methodology is usedto analyse published data on the recrystallization kinetics of IF steels.

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Formal kinetics of the condensation of polycaproamide and the effect of the nature of the molecular weight regulator on the stability of the polymers under repeated melting

Polymer Science U S S R ◽

10.1016/0032-3950(73)90411-5 ◽

1973 ◽

Vol 15 (8) ◽

pp. 1976-1987 ◽

Cited By ~ 2

Author(s):

L.N. Mizerovskii ◽

Yu.S. Paikachev ◽

V.Yu. Tikhonov

Keyword(s):

Molecular Weight ◽

Formal Kinetics ◽

Molecular Weight Regulator ◽

The Stability ◽

Kinetics Of

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Analytical Expressions for Formal Kinetics

Materials Science Forum ◽

10.4028/www.scientific.net/msf.715-716.971 ◽

2012 ◽

Vol 715-716 ◽

pp. 971-976 ◽

Cited By ~ 2

Author(s):

Paulo Rangel Rios ◽

Weslley L.S. Assis ◽

Tatiana C. Salazar ◽

Elena Villa

Keyword(s):

Cellular Automata ◽

Microstructural Evolution ◽

Analytical Solutions ◽

Stochastic Geometry ◽

Poisson Point Process ◽

Point Processes ◽

Formal Kinetics ◽

Bulk Nucleation ◽

Inhomogeneous Poisson Point Process ◽

Analytical Expressions

In recent papers Rios and Villa resorted to developments in stochastic geometry to revisit theclassical KJMA theory and generalize it for situations in which nuclei were located in space accordingto both homogeneous and inhomogeneous Poisson point processes as well as according to Materncluster process and surface and bulk nucleation in small specimens. Rigorous mathematical methodswere employed to ensure the reliability of the new expressions. These results are briefly described.Analytical expression for inhomogeneous Poisson point process nucleation gives very good agreementwith Cellular Automata simulations. Cellular Automata simulations complement the analyticalsolutions by showing the corresponding microstructural evolution. These new results considerablyexpand the range of situations for which analytical solutions are available.

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