“…For this reason, it is very important to obtain the capability of modelling the microstructure evolution in detail. Although the mean field models, such as the ones used in [1,2,3,4], are useful in rapid modelling and optimization of the relative quantities related to the microstructure, they lack the capability of including local effects, which can play important role in the microstructure evolution. For example in [2], it was recently observed that in order to understand and to model stabilization of austenite regions in steel processing, it is necessary to consider local carbon enrichment and the effect of local mechanical strains.…”