The boundary integral theory for slow and rapid curved solid/liquid interfaces propagating into binary systems
PK Galenko, DV Alexandrov… - … Transactions of the …, 2018 - royalsocietypublishing.org
The boundary integral method for propagating solid/liquid interfaces is detailed with
allowance for the thermo-solutal Stefan-type models. Two types of mass transfer …
allowance for the thermo-solutal Stefan-type models. Two types of mass transfer …
Kinetic effects during the plane-front and dendritic solidification of multicomponent alloys
A generalized model for the kinetics of a dendrite tip with a non-equilibrium interface is
presented for multicomponent alloys. The model includes full coupling with thermodynamic …
presented for multicomponent alloys. The model includes full coupling with thermodynamic …
Equilibrium and growth shapes of crystals: how do they differ and why should we care?
RF Sekerka - Crystal Research and Technology: Journal of …, 2005 - Wiley Online Library
Since the death of Prof. Dr. Jan Czochralski nearly 50 years ago, crystals grown by the
Czochralski method have increased remarkably in size and perfection, resulting today in the …
Czochralski method have increased remarkably in size and perfection, resulting today in the …
A brief history of defect formation, segregation, faceting, and twinning in melt-grown semiconductors
DTJ Hurle, P Rudolph - Journal of crystal growth, 2004 - Elsevier
A historical review of the development of knowledge of defect formation in semiconductor
crystals is given. The treatment starts with zero-dimensional defect types, especially native …
crystals is given. The treatment starts with zero-dimensional defect types, especially native …
Morphology: from sharp interface to phase field models
RF Sekerka - Journal of crystal growth, 2004 - Elsevier
Over the last 50 years, there has been tremendous progress in the quantification of crystal
growth morphology. In the 1950s, the dynamics of crystal growth from the melt was based on …
growth morphology. In the 1950s, the dynamics of crystal growth from the melt was based on …
Linear morphological stability analysis of the solid-liquid interface in rapid solidification of a binary system
PK Galenko, DA Danilov - Physical Review E—Statistical, Nonlinear, and Soft …, 2004 - APS
The interface stability against small perturbations of the planar solid-liquid interface is
considered analytically in linear approximation. Following the analytical procedure of Trivedi …
considered analytically in linear approximation. Following the analytical procedure of Trivedi …
Singularities in a modified Kuramoto-Sivashinsky equation describing interface motion for phase transition
AJ Bernoff, AL Bertozzi - Physica D: Nonlinear Phenomena, 1995 - Elsevier
Phase transitions can be modeled by the motion of an interface between two locally stable
phases. A modified Kuramoto-Sivashinsky equation, ht+∇ 2h+∇ 4h=(1− λ)|∇ h| 2±λ (∇ 2h) …
phases. A modified Kuramoto-Sivashinsky equation, ht+∇ 2h+∇ 4h=(1− λ)|∇ h| 2±λ (∇ 2h) …
Stability results for steady, spatially periodic planforms
Equivariant bifurcation theory has been used extensively to study pattern formation via
symmetry-breaking steady-state bifurcation in various physical systems modelled by E (2) …
symmetry-breaking steady-state bifurcation in various physical systems modelled by E (2) …
Computations of multiphase flows
G Tryggvason, B Bunner, A Esmaeeli… - Advances in applied …, 2003 - squ.elsevierpure.com
Computational studies of multiphase flows go back to the very beginning of Computational
Fluid Dynamics. It is, however, only during the last decade that direct numerical simulations …
Fluid Dynamics. It is, however, only during the last decade that direct numerical simulations …
On the creeping of saturated salt solutions
WJP van Enckevort, JH Los - Crystal growth & design, 2013 - ACS Publications
Creeping is a well-known but annoying phenomenon in the preparation of crystals from
solution, where growing crystallites gradually extend up the walls of the growth vessel. In …
solution, where growing crystallites gradually extend up the walls of the growth vessel. In …