Modeling and Simulating the Crystallization of Polymers via a Many-Particle System

  • V. Capasso
  • D. Morale
  • C. Salani
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 1)


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.


Latent Heat Continuum Model Crystallization Process Nucleation Rate Particle System 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • V. Capasso
    • 1
    • 2
  • D. Morale
    • 1
    • 3
  • C. Salani
    • 1
    • 2
  1. 1.MIRIAMUniversity of MilanoMilanoItaly
  2. 2.Department of MathematicsUniversity of MilanoMilanoItaly
  3. 3.Department of MathematicsUniversity of TorinoTorinoItaly

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