[en] The application of phase-field modeling to nucleation as a phenomenon at the nanoscale is justified, if one takes into account the great success of continuum approaches in nanofluidics as proven by the many comparisons to experiments. Employed in this manner it provides an approach allowing us to account for effects of the physical diffuseness of a nucleus' interface and thereby go beyond classical nucleation theory (Granasy and James 2000 J. Chem. Phys. 113 9810; Emmerich and Siquieri 2006 J. Phys.: Condens. Matter 18 11121). Here we extend the focus of previous work in this field and address the question of how far the phase-field method can also be applied to gain further insight into nucleation statistics, in particular the nucleation prefactor appearing in the nucleation rate. In this context we describe in detail a morphology-dependent crossover effect noticeable for the nucleation rate at small driving forces.

[en] In this work we present experimental and theoretical investigations of the directional solidification of Al-36 wt% Ni alloy. A phase-field approach (Folch and Plapp 2005 Phys. Rev. E 72 011602) is coupled with the CALPHAD (calculation of phase diagrams) method to be able to simulate directional solidification of Al-Ni alloy including the peritectic phase Al₃Ni. The model approach is calibrated by systematic comparison to microstructures grown under controlled conditions in directional solidification experiments. To illustrate the efficiency of the model it is employed to investigate the effect of temperature gradient on the microstructure evolution of Al-36 wt% Ni during solidification.