1. Epitaxial growth of single-layer graphene sheets
Model for computing kinetics of the graphene
edge epitaxial growth on copper , Physical Review E 93, 062806 (2016); ArXiv2. Dynamics of monoatomic crystal steps
Step growth and meandering in a precursor-mediated epitaxy with anisotropic attachment kinetics and terrace diffusion, Mathematical Modelling of Natural Phenomena 10(4), 97-110 (2015); ArXiv
Long-wave model for strongly anisotropic growth of a crystal step, Physical Review E 88, 022402 (2013).
3. Dewetting of Solid Films/Morphological Evolution of Crystal Surfaces
Kinetics of nanorings
formation on surfaces of stressed thin films, with Lin Du and Dimitrios Maroudas, Physical Review Materials 2, 083403 (2018) (Lin and Dimitrios take most credit for this insightful work)
Modeling solid-state dewetting of a single-crystal binary alloy thin films, Journal of Applied Physics 123,
034302 (2018) ArXiv
Height transitions, shape evolution, and coarsening of equilibrating quantum nanoislands, Modelling and Simulation in Materials Science and Engineering 25, 085003 (2017) ArXiv
Interplay
of quantum size effect, anisotropy and surface stress shapes
the instability of thin metal films, Journal of
Engineering Mathematics 104(1), 77-92 (2017) ArXiv
Mathematical modeling of a surface
morphological instability of a thin monocrystal film in a strong
electric field, with Aaron Wingo, Selahittin Cinar, and Kurt Woods,
Involve, a Journal of Mathematics 9-4 (2016),
623-638
Electromigration-driven evolution of the surface morphology and composition for a bi-component solid film, with Mahdi Bandegi, Mathematical Modelling of Natural Phenomena 10(4), 83-96 (2015); ArXiv
Analysis
of a combined influence of substrate wetting and surface
electromigration on a thin film stability and dynamical morphologies, Comptes Rendus Physique 14, 607-618 (2013).
Stability of a strongly anisotropic thin epitaxial film in a wetting interaction with elastic substrate, with Wondimu Tekalign and Margo Levine, Eur. Phys. Lett. 93, 26001 (2011).
A tangent-plane,
marker-particle method for the computation of three-dimensional solid
surfaces evolving by surface diffusion on a substrate, with P. Du and Harris Wong
Journal
of Computational Physics 229(3), p. 813-827 (2010; due to copyright
restrictions, fulltext is available on request only).
Dewetting of an ultrathin solid film on a lattice-matched or amorphous substrate, Phys. Rev. B 77, 165414 (2008)
Morphologies and kinetics of a dewetting ultrathin solid film, Phys. Rev. B 77, 245445 (2008)
Comparative study of a solid film dewetting in an attractive substrate potentials with the exponential and the algebraic decay,
Math. Model. Nat. Phenom. 3(5), 16-29 (2008). Journal web site
Temperature of Spatially
Modulated Surface of Solid Film Heated by Repetitive Laser Pulses , with V.K. Henner
Journal of Physics D: Appl. Phys. 38
(2005)
4196-4201
Influence
of Pulsed Laser Heating on Morphological Relaxation of Surface Ripple
Physical Review E 72 (2005)
011604 ( MRS Fall'05 Meeting paper )
Tailoring of Crystal Surface Morphology by Induced Spatio-Temporal Oscillations of Temperature
Physical Review E 75 (2007)
021605 ( MRS Fall'06 Meeting paper )
Numerical Simulation of Liquid
Phase Electro-Epitaxial Selective Area Growth , with R.J. Braun
Journal
of Crystal Growth 279 (2005) 213-228; due to copyright restrictions, fulltext is available on request only
Motion of Contact Line of a Crystal Over the Edge of Solid
Mask in Epitaxial lateral Overgrowth
Computational
Materials Science 32 (2005) 203-216; due to copyright restrictions, fulltext is available on request only
Computation of the
Material Indicator Function Near the Contact Line (in Tryggvason's
method)
Journal of Computational Physics 200(1) (2004) 1-7; due to copyright restrictions, fulltext is available on request only
Enhancement of Epitaxial Lateral Overgrowth by Vapor-Phase
Diffusion
International Journal of Engineering Science 42
(2004) 1439-1457; due to copyright restrictions, fulltext is available on request only
A Model for
Anisotropic Epitaxial Lateral Overgrowth , with R.J. Braun and M.G. Mauk,
Journal of Crystal
Growth 241 (2002) 330-346; due to copyright restrictions, fulltext is available on request only
A Model for Isotropic
Crystal Growth from Vapor on a Patterned Substrate
, with R.J. Braun and M.G. Mauk,
Journal of Crystal
Growth 235 (2002) 425-438; due to copyright restrictions, fulltext is available on request only