This paper deals with the process of crystallization. We first present two major models that describe this phenomenon either as a birth-and-growth process or in terms of a Johnson-Mehl random tessellation. Then, we estimate the parameters of these models and we establish the asymptotic law of the estimators for the geometrical aspects of this phenomenon. Simulations of these laws are also provided in some cases.
Polymer crystallization processes / G. Aletti, D. Saada - In: Math Everywhere Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry Dedicated to the 60th Birthday of Vincenzo Capasso / [a cura di] G. Aletti, M. Burger, A. Micheletti, D. Morale. - Berlin : Springer, 2007. - ISBN 978-3-540-44445-9. - pp. 309-324 (( convegno Math Everywhere tenutosi a Milano nel 2005 [10.1007/978-3-540-44446-6_25].
Polymer crystallization processes
G. AlettiPrimo
;
2007
Abstract
This paper deals with the process of crystallization. We first present two major models that describe this phenomenon either as a birth-and-growth process or in terms of a Johnson-Mehl random tessellation. Then, we estimate the parameters of these models and we establish the asymptotic law of the estimators for the geometrical aspects of this phenomenon. Simulations of these laws are also provided in some cases.Pubblicazioni consigliate
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