Polymer crystallization may be modelled by a stochastic birth-and-growth pr
ocess, with temperature dependent parameters. The temperature field is itse
lf stochastic, because of the release of latent heat, due to the phase chan
ge. A mathematical model which couples the evolution of crystal growth with
the temperature field is here described. The final result is a stochastic
system of PDE's, which has been numerically simulated. Results of numerical
simulations for a test case are reported and discussed.