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Simulation study for generalized logistic function in thermal data modeling
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DOI：10.1007/s10973-014-3887-z.png)
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The principal aim of the present study is to describe, analyze, and compare from a statistical standpoint the generalized logistic model with some well-known models used in the solid-state kinetics: power law, Avrami-Erofeev, and reaction order. For this purpose, synthetic conversion curves that simulate the kinetic processes were generated using the power law, Avrami-Erofeev, and reaction order models, where the Arrhenius equation was assumed in all the cases. This comprehensive simulation study allows to describe the relationship between the parameters belonging to the proposed generalized logistic model and the pointed traditional models' parameters, and also to validate the performance of the generalized logistic model in a wide variety of cases where other methods can be applied. Performing this analysis has been necessary to employ some new statistical techniques in thermal analysis modeling as the generalized additive models, and to perform global optimization evolutionary algorithms as the differential evolution for solving the non-linear regression problem. In order to implement these techniques, R statistical software routines were developed and applied.
Keyword:
Generalized logistic model
Kinetics
Thermal analysis
Differential evolution algorithms
Generalized additive models
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3.1
论文数:
1.8W
被引数:
3.2W
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A kinetic model that fits nicely isothermal and non-isothermal bulk crystallizations of polymers from the melt一个动力学模型，可以很好地拟合熔体中聚合物的等温和非等温本体结晶
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