Phase-field model simulations of alloy directional solidification and seaweed-like microstructure evolution based on adaptive finite element method

Quantitative phase-field modeling of dendritic growth in two and three dimensions

Alain Karma, Wouter‐Jan Rappel · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1998 · 1.4K citations

Engineering, Interface Kinetics, Soft Matter +18

Phase-Field Formulation for Quantitative Modeling of Alloy Solidification

Alain Karma · Physical Review Letters · 2001 · 840 citations · Full text

Engineering, Material Simulation, Phase-field Formulation +16

Quantitative phase-field model of alloy solidification

Blas Echebarria, R. Folch, Alain Karma et al. · Physical Review E · 2004 · 772 citations · Full text

Engineering, Soft Matter, Thin Interface Analysis +18

The formation of patterns in non-equilibrium growth

Eshel Ben‐Jacob, Peter Garik · Nature · 1990 · 770 citations · Full text

Non-equilibrium Growth, Pattern Formation, Economics +6

Orientation selection in dendritic evolution

Tomorr Haxhimali, Alain Karma, Frédéric Gonzales et al. · Nature Materials · 2006 · 431 citations · Full text

Pattern Formation, Neuroanatomy, Medicine +5