Stochastic global model for the prediction of the asymptotic csds using antisolvent crystallization processes

A stochastic global formulation describing antisolvent mediated crystal growth processes based on the Fokker- Planck equation (FPE) is discussed. The obtained global model is used to define an operating map of the crystallization process, where asymptotic iso-mean and iso-variance curves are reported in an antisolvent flow rate – temperature plane. The asymptotic solutions of the obtained global model evidenced the occurrence of input multiplicities for a certain window of operating conditions. This implies that it is possible to obtain the same asymptotic Crystal Size Distribution (CSD) by using two different sets of input values. This particular behavior has been corroborated experimentally and it is due to the presence of competing effects of the process inputs. Using the obtained asymptotic operational map, three different CSDs have been predicted and compared, both in asymptotic and then in dynamic conditions, using experimental results.