816 citations · 3.2k across the 41 of their papers we have counts for
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cond-mat.mtrl-sci2000★ 65 cited
Phase-field modeling of microstructural pattern formation during directional solidification of peritectic alloys without morphological instability
Tak Shing Lo, Alain Karma, Mathis Plapp
During the directional solidification of peritectic alloys, two stable solid phases (parent and peritectic) grow competitively into a metastable liquid phase of larger impurity con…
cond-mat.mtrl-sci2000★ 92 cited
Multiscale Finite-Difference-Diffusion-Monte-Carlo Method for Simulating Dendritic Solidification
Mathis Plapp, Alain Karma
We present a novel hybrid computational method to simulate accurately dendritic solidification in the low undercooling limit where the dendrite tip radius is one or more orders of…