Abstract
This paper deals with to the modelling and simulation of the crystallization of polymers in an heterogeneous temperature field. Under realistic parameter ranges, of industrial interest, we face a multiple scale phenomenon since the temperature evolution occurs at a faster time scale with respect to the birth-and-growth process of crystallization. We propose a spatially structured stochastic bith-and-growth model for the crystallization process whose kinetics parameters depend locally upon the temperature field, and nonlocally upon the spatial distribution of the crystalline phase. For a large number of crystals the system can be shown to converge to a classical continuum deterministic model. We report here the results of the numerical simulation of the many particle system, and of the corresponding continuum model.
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References
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Capasso, V., Morale, D., Salani, C. (2002). Modeling and Simulating the Crystallization of Polymers via a Many-Particle System. In: Anile, A.M., Capasso, V., Greco, A. (eds) Progress in Industrial Mathematics at ECMI 2000. Mathematics in Industry, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04784-2_54
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DOI: https://doi.org/10.1007/978-3-662-04784-2_54
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07647-3
Online ISBN: 978-3-662-04784-2
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