Dr. Andrew R. Roosen, Mathematician
This is my research hat. My Ph.D. is in mathematics
from Rutgers University where
I studied under Jean Taylor.
I haven't proven any theorems since then, however, so you might say I'm
a lapsed mathematician.
Here's a list of my research interests, past and present, in no particular
order. All of them have relied heavily on the efforts of collaborators:
Wulffman, a tool
for computing Wulff shapes with specified symmetries.
Motion of fully-faceted interfaces. This includes my thesis work and the
projects that have developed from it including:
Solidification of a pure material from its melt
Surface-diffusion and surface attachment limited kinetics
Growth and coarsening of multiple particles, in particular Si3N4.
as a solder drop spreads over a reactive substrate.
OOF: the Object-Oriented
Finite Element solver for examining microstructures
List of publications:
Online versions available for linked publications.
Andrew Roosen and Jean E. Taylor. ``Simulation of crystal growth with faceted
interfaces''. Materials Research Society Symposium Proceedings,
237, 25-36, 1991.
Andrew Roosen. ``Simulation of crystal growth using fully faceted interfaces''.
In Jean E. Taylor, editor, Computational Crystal Growers Workshop,
Selected Lectures in Mathematics, American Mathematical Society,
Andrew Roosen and Jean E. Taylor. ``Modeling crystal
growth in a diffusion field using fully-faceted interfaces''. Journal
of Computational Physics, 114, 113-128, 1994.
W. C. Carter, A. R. Roosen, J. W. Cahn and J. E. Taylor. ``Shape
evolution by surface diffusion and surface attachment limited kinetics
on completely faceted surfaces''. Acta Metallurgica et Materialia,
43, 4309-4323, 1995.
L. H. Swartz, S. C. Glotzer, D. E. Hall, A. R. Roosen and J. A. Warren
. ``Materials science in the information age''. Technology in Society,
18, 151-164, 1996.
J-H. Choi, D-H. Kim, B. J. Hockey, S. M. Weiderhorn, C. A. Handwerker,
J. E. Blendell, W. C. Carter and A. R. Roosen. ``The equilibrium shape
of cavities in sapphire''. Journal of the American Ceramics Society,
80, 62-68, 1997.
A. R. Roosen, R. P. McCormack, W. C. Carter. ``Wulffman: A Tool for the
calculation and display of crystal shapes''. Computational Materials
Science, 11(1), 16-26, 1998.
J. A. Warren, W. J. Boettinger and A. R. Roosen. ``Modeling
Reactive Wetting''. Acta Materialia, 46(9), 3247-3264,
A. R. Roosen and W. C. Carter. ``Simulations of Microstructural Evolution:
Anisotropic Growth and Coarsening''. Physica A, 261(1-2),