241 citations · 808 across the 9 of their papers we have counts for
Showing 1999Show all
3 papers · 1 filter
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.soft1999★ 124 cited
Theory of spiral wave dynamics in weakly excitable media: asymptotic reduction to a kinematic model and applications
Vincent Hakim, Alain Karma
In a weakly excitable medium, characterized by a large threshold stimulus, the free end of an isolated broken plane wave (wave tip) can either rotate (steadily or unsteadily) aroun…
cond-mat.mtrl-sci1999★ 241 cited
Phase-Field Model of Dendritic Sidebranching with Thermal Noise
Alain Karma, Wouter-Jan Rappel
We investigate dendritic sidebranching during crystal growth in an undercooled melt by simulation of a phase-field model which incorporates thermal noise of microscopic origin. As…