816 citations · 3.2k across the 41 of their papers we have counts for
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cond-mat.mtrl-sci1999★ 111 cited
Three-dimensional dendrite tip morphology at low undercooling
Alain Karma, Youngyih H. Lee, Mathis Plapp
We investigate the three-dimensional morphology of the dendrite tip using the phase-field method. We find that, for low undercoolings, this morphology is ostensibly independent of…
cond-mat.mtrl-sci1999
Spinodal decomposition of an ABv model alloy: Patterns at unstable surfaces
Mathis Plapp, Jean-Francois Gouyet
We develop mean-field kinetic equations for a lattice gas model of a binary alloy with vacancies (ABv model) in which diffusion takes place by a vacancy mechanism. These equations…
cond-mat.mtrl-sci1999★ 124 cited
Multiscale Random-Walk Algorithm for Simulating Interfacial Pattern Formation
Mathis Plapp, Alain Karma
We present a novel computational method to simulate accurately a wide range of interfacial patterns whose growth is limited by a large scale diffusion field. To illustrate the comp…