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Projekt Details
| Project ID |
C10
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| Application Area |
C
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| Project Title |
Modelling, asymptotic analysis and numerical simulation of the dynamics of thin film nanostructures on crystal surfaces
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| Description |
Thin films play an important role in many
application areas and also in everyday life.
For thin liquid surface tension driven films applications range from the spreading of paint to the motion of nanoscale films of polymer or complex liquids like the photoresists that are spin-coated onto a silicon wafer in the process of chip manufacturing.
For thin solid films the development of
nanostructures during epitaxial growth
has received considerable attention
because of its potential in the
design of novel, multifunctional electronic device structures.
The small slope approximation has been shown to be the key to achieve model reduction from the underlying 3D free boundary problems to high order 2D partial differential equations for the evolving surfaces.
While the development and systematic study of such high order model equations
require new mathematical theory as well as numerical methods, they in turn
offer the possiblity to understand and control the dynamical processes
leading the experimentally observed long-time patterns,
or even, in the case of epitaxially grown films,
to the design of superlattices of QDs, having very different
electronic as well as optoelectronic properties.
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| Duration |
12/02-05/14
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| Status |
running
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| Members |
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| Heads |
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| Guests |
| Prof. L. Pamela Cook | | Prof. Karl Glasner | | Prof. Martin E. Glicksmann | | Prof. Hossein Pirouz Kavehpour | | Prof. John King | | Prof. Barbara Niethammer | | Prof. John Ockendon | | Prof. Alexander Oron | | Prof. Michael Shearer | | Prof. Thomas Witelski |
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| Publications |
From bell shapes to pyramids: A reduced continuum model for self-assembled quantum dot growth
M. D. Korzec and P. L. Evans, in: Physica D (2010) | Linear stability analysis of a sharp-interface model for dewetting
thin films
J.R. King, A. Münch and B. Wagner, in: J. Engrg. Math. (2009) | Coarsening dynamics of slipping droplets
G. Kitavtsev and B. Wagner, in: J. Engrg. Math. (2009) | Thin film rupture for large slip
D. Peschka, A. Münch and B. Niethammer, in: J. Engrg. Math. (2009) | Spinodal dewetting of thin films with large interfacial slip:
implications from the dispersion relation
M. Rauscher, R. Blossey, A. Münch and B Wagner, in: Langmuir (2008) | Galerkin method for feedback controlled Rayleigh-Benard convection
A. Münch and B Wagner, in: Nonlinearity (2008) | Thin film dynamics on a vertically rotating disk partially immersed in a liquid bath
Konstantin Afanasiev, Andreas Münch and Barbara Wagner, in: Appl. Math. Modelling (2008) | Stationary Solutions of Driven Fourth- and Sixth-Order Cahn–Hilliard-Type Equations
M. D. Korzec and P. L. Evans and A. Münch and B. Wagner, in: SIAM J. Appl. Math. (2008) | On the Landau-Levich problem for non-Newtonian liquids
Konstanin Afanasiev, Andreas Münch and Barbara Wagner, in: Phys. Rev. E (3) (2007) | Quantifying hydrodynamic slip: A comprehensive analysis of dewetting
profiles
A. Münch, B. Wagner, M. Rauscher and K. Jacobs, in: Langmuir (2007) | Stationary solutions of driven fourth- and sixth-order Cahn-Hilliard type equations
M. D. Korzec and P. L. Evans and A. Münch and B. Wagner (2007) | Interaction of Advancing Fronts and Meniscus Profiles Formed by Surface-Tension-Gradient-Driven Liquid Films
P. L. Evans and Andreas Münch, in: SIAM J. Appl. Math. (2006) | Intermediate-asymptotic structure of a dewetting rim with strong slip
P. L. Evans and J. R. King and A. Muench (2006) | Intermediate-asymptotic structure of a dewetting rim with strong slip
P. L. Evans and J. R. King and A. Münch, in: AMRX Appl. Math. Res. Express (2006) | Linear stability of a ridge
J.R. King, A. Münch and B Wagner, in: Nonlinearity (2006) | Slip vs. viscoelasticity in dewetting thin films
Ralf Blossey, Andreas Münch, Markus Rauscher and Barbara Wagner, in: Eur. Phys. J. E - Soft Matter (2006) | Intermediate-asymptotic structure of a dewetting rim with strong
slip
P. L. Evans, J. R. King, and A. Münch, in: AMRX (2006) | Dynamics of a surface-tension-gradient-driven liquid film rising from
a reservoir onto a substrate
P.L. Evans and A.Münch, in: SIAM J. Appl. Math. (2006) | Dynamics of a surface-tension-gradient-driven liquid film rising from a reservoir onto a substrate
Evans, P. L. and Münch, Andreas, in: Matheon (2005) | A thin-film equation for viscoelastic liquids of Jeffreys type
Markus Rauscher, Andreas Münch, Barbara Wagner, Ralf Blossey, in: European J. Phys. (2005) | Dewetting rates of thin liquid films
Andreas Münch, in: Journal of Physics: Condensed Matter (2005) | Three-dimensional solutions for coating flow on a rotating horizontal cylinder: theory and experiment
Evans, P. L. and Schwartz, L. W. and Roy, R. V., in: Phys. Fluids (2005) | Marangoni-driven liquid films rising out of a meniscus onto a nearly horizontal substrate
Münch, Andreas and Evans, P. L., in: Phys. D (2005) | New Slip Regimes and the Shape of Dewetting Thin Liquid Films
R. Fetzer, K. Jacobs, A. Münch, B. Wagner, and T. P. Witelski, in: Phys. Rev. Lett. (2005) | Lubrication models with small to large slip lengths
Andreas Münch, Barbara Wagner, Thomas P. Witelski, in: J. Engrg. Math. (2005) | Thin film dynamics on vertically rotating disks
K. Afanasiev, A. Münch, and B. Wagner (2005) | Linear stability of a ridge
John King, Andreas Münch, Barbara Wagner (2005) | The drag-out problem in film coating
Bo Jin, A. Acrivos, and Andreas Münch, in: Phys. Fluids (2005) | Contact-line instability for dewetting thin films
Münch, Andreas and Wagner, Barbara, in: Phys. D (2004) | Fingering instability in dewetting films induced by slippage
Münch, Andreas, in: Matheon (2004) | Steady and unsteady for coating flow on a rotating horizontal cylinder: Two-dimensional theoretical and numerical modeling
Evans, P. L. and Schwartz, L. W. and Roy, R. V., in: Phys. Fluids (2004) | Marangoni-driven liquid films rising out of a meniscus onto a nearly horizontal substrate
Münch, Andreas and Evans, Peter L., in: Matheon (2004) | Pinch-off transition in Marangoni-driven thin films
Münch, Andreas, in: Phys. Rev. Lett. (2003) |
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| Preprints |
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| Website |
http://www.mathematik.hu-berlin.de/~muench/web/c10/
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