We briefly review the state-of-the-art in phase-field modeling of microstructure evolution. The
focus is placed on recent applications of phase-field simulations of solid-state microstructure …

Rapid advances in atomistic and phase-field modeling techniques as well as new
experiments have led to major progress in solidification science during the first years of this …

The phase-field method has become an important and extremely versatile technique for
simulating microstructure evolution at the mesoscale. Thanks to the diffuse-interface …

Using a novel electrochemical phase-field model, we question the common belief that Li X
FePO4 nanoparticles always separate into Li-rich and Li-poor phases during battery …

New perspectives on the phase field approach in modeling deformation and fracture at the
fundamental defect level are reviewed. When applied at sub-angstrom length scales the …

We review how phase-field models contributed to the understanding of various aspects of
crystal nucleation, including homogeneous and heterogeneous processes, and their role in …

The effect of separator pore size on lithium dendrite growth is assessed through the use of
the phase field method (PFM). Dendrites are found to undergo concurrent electrodeposition …

In this paper first a generally valid model is derived from the two fundamental equations of
Gibbs for temperature and composition dependences of all types of interfacial energies. This …

This paper reviews methods and applications of the phase field technique, one of the fastest
growing areas in computational materials science. The phase field method is used as a …

The basic physics of nucleation in solid single-crystal nanoparticles is revealed by a phase-
field theory that includes surface energy, chemical reactions, and coherency strain. In …