Prof. Dr. Vincenzo Capasso
Milan Research Center for Industrial and Applied Mathematics
The Mathematics of Polymers' Crystallization
Abstract: Polymer crystallization may be modelled as a stochastic Birth-and-Growth process giving rise to a stochastic tessellation of the relevant space domain. The final morphology of the crystallized material is a fundamental factor in industrial applications so that modelling the evolution of the stochastic geometry of the system is crucial. It is well known that the kinetic parameters of nucleation strongly depend upon temperature. Viceversa temperature depends upon the crystallization process via latent heat. This gives rise to a random PDE coupled with an heterogeneous birth-and-growth process. At industrial conditions we face a multiple scale problem with respect to space. Conditions are given so to average at the lower scale (the crystallization process) and obtain hybrid models. Alternatively an interacting particle (stochastic) approach may be used for a rigorous derivation of a deterministic continuum model via a suitable limit.
| Zeit: | Freitag, 02. Februar 2001, 14.15 Uhr |
| Ort: | FU Berlin, Arnimallee 2-6, Raum 032 im EG |