Coarsening and kinetic arrest of colloidal systems undergoing spinodal decomposition (SD) is a conserved motif for forming hierarchical, bicontinuous structures. Although the thermodynamic origins of SD in colloids are widely known, the microstructural processes responsible for its coarsening and associated dynamics en route to arrest remain elusive. To better elucidate the underlying large-sca...

The objective of the study is to develop an algorithm for automatic directional coarsening of anisotropic meshes based on the finest level mesh to provide coarser meshes for geometric multigrid. Characteristic parameters of the meshes are high aspect ratio (of order 10 near the profile). The meshes are assumed to have a layer structure in boundary-layer zones. The aim of the study is to design ...

Gregory S. Rohrer and Chang-Soo Kim Department of Materials Science and Engineering, Carnegie Mellon University, Pittsburgh, Pennsylvania, USA The Influence of Singular Surfaces and Morphological Changes on Coarsening When the interface energy between coarsening crystals and an intervening phase is anisotropic, mechanisms that do not affect isotropic systems become important. If there are singu...

Many nonlinear partial differential equations (PDEs) display a coarsening dynamics, i.e., an emerging pattern whose typical length scale L increases with time. The so-called coarsening exponent n characterizes the time dependence of the scale of the pattern, L(t)≈t(n), and coarsening dynamics can be described by a diffusion equation for the phase of the pattern. By means of a multiscale analysi...

We investigate a nonequilibrium coarsening dynamics of a one-dimensional Ising spin system with chirality. Only spins at domain boundaries are updated so that the model undergoes a coarsening to either of equivalent absorbing states with all spins + or -. Chirality is imposed by assigning different transition rates to events at down (+-) kinks and up (-+) kinks. The coarsening is characterized ...

Conventional and new sintering mechanisms have been porous compacts is well-known in the ceramic literature. However, several reports have been presented recently that investigated using fine powders of CeO2 and Y2O3 of excellent sinterability. We have verified the validity of Herring’s show that particle/grain size can remain essentially constant up to a density of 92%, and such a resistance t...

For most coarsening systems, we do not understand how or why the evolution produces a statistical steady state. In a paper appearing in Physical Review B, Katayun Barmak at Carnegie Mellon University and colleagues present theoretical arguments to explain the statistics of grain boundaries in a polycrystalline material after the occurrence of coarsening due to annealing [1]. Recent experimental...

Suppose that a random variable X of interest is grouped or censored or missing so that one only observes a coarsening of X, i.e., a random set containing X with probability 1. It is assumed that the coarsening mechanism has the coarsening at random property. Suppose furthermore that the coarsening either equals X itself or that is a set with positive Xprobability. We modify the NPMLE of the dis...