Simulation of coarsening in two-phase systems with dissimilar mobilities

Two-dimensional Cahn–Hilliard simulations for coarsening kinetics of spinodal decomposition in binary mixtures

“…Therefore, we plan to quantitatively analyze the obtained morphologies regarding their interfacial shape distribution, mean curvature and other structure metrics according to Refs. 19,22 . This also includes the characterization using Minkowski descriptors as proposed by Manzanarez et al 16,79 .…”

“…15 α is reported to be ϕ 0 -dependent and found 1/3 (25/75 and 50/50) and 1/4 (75/25). For this mobility and ϕ 0 = 0.5, Andrews et al 22 report a time-dependent coarsening rate constant C = C(t).…”

“…Coarsening of the morphology is therefore expected to have a significant impact on the material properties. Hence, coarsening is a long lasting subject of interest, mostly investigated together with SD in binary systems with experimental methods [7][8][9][10] , numerical simulations [11][12][13][14][15][16] , analytical models 1,17,18 and still an active area of research [19][20][21][22][23][24] . Being able to predict the actual time-dependent average domain size or characteristic length scale L(t) is crucial for understanding the morphology-property relationship.…”

“…An essential property in the Cahn-Hilliard model is the mobility, which describes how fast the system reacts to the thermodynamic driving force and is characterized by the mobility coefficient Λ. Beyond the simplest assumption of a composition-independent constant value for Λ, there exist many other compositiondependent mobility models in the literature 14,15,22 .…”

Formation of three-dimensional bicontinuous structures via molten salt dealloying studied in real-time by in situ synchrotron X-ray nano-tomography

“…For instance, continuum simulations (e.g. phase-field modeling 8 , 15 , 16 ) and atomistic simulations including kinetic Monte Carlo simulations 17 – 21 and molecular dynamics 22 , 23 model the morphological evolution during both dealloying and coarsening. Simulations also have offered a fundamental understanding of the processing–structure–property relationships such as explaining the atomistic origins on the anomalous compliance 23 and enhanced catalytic properties 17 .…”