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 …

▪ Abstract The phase-field method has recently emerged as a powerful computational
approach to modeling and predicting mesoscale morphological and microstructure evolution …

We propose a new approach, which we term as scalar auxiliary variable (SAV) approach, to
construct efficient and accurate time discretization schemes for a large class of gradient …

We propose a new numerical technique to deal with nonlinear terms in gradient flows. By
introducing a scalar auxiliary variable (SAV), we construct efficient and robust energy stable …

The digital fabrication of oxide glasses by three-dimensional (3D) printing represents a
major paradigm shift in the way glasses are designed and manufactured, opening …

In this paper, we develop a series of efficient numerical schemes to solve the phase field
model for homopolymer blends. The governing system is derived from the energetic …

In this paper, we review the recent development of phase-field models and their numerical
methods for multi-component fluid flows with interfacial phenomena. The models consist of a …

We develop a class of numerical methods for stiff systems, based on the method of
exponential time differencing. We describe schemes with second-and higher-order …

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

Written by a world-renowned theoretical physicist, Introduction to Statistical Physics, Second
Edition clarifies the properties of matter collectively in terms of the physical laws governing …