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 …

The status of solidification science is critically evaluated and future directions of research in
this technologically important area are proposed. The most important advances in …

We report the results of quantitative phase-field simulations of the dendritic crystallization of
a pure melt in two and three dimensions. These simulations exploit a recently developed …

This is the first account of the history of our understanding of, and ability to model,
solidification microstructures. Its objective is to retrace the scientific steps made, from the …

This book gives a systematic overview on the scientific fundamentals of crystal growth from
the classical phenomenological description to the recent theoretical contributions of …

We study dendritic microstructure evolution using an adaptive grid, finite element method
applied to a phase-field model. The computational complexity of our algorithm, per unit time …

Many inhomogeneous systems involve domains of well-de? ned phases se-rated by a
distinct interface. If they are driven out of equilibrium one phase will grow at the cost of the …

We investigate dendritic sidebranching during crystal growth in an undercooled melt by
simulation of a phase-field model which incorporates thermal noise of microscopic origin. As …

In 1991, the late Peter Haasen, who had set out to edit a comprehensive treatment of
“Materials Science and Technology” together with Robert W. Cahn and Edward J. Kramer, a …

Phase-field modelling is still a young discipline in condensed-matter physics, which
established itself for the class of systems that can be characterised by domains of different …