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Related papers: Surface morphological evolutions on single crystal…

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The morphological evolution of hillocks at the unpassivated sidewalls of the single crystal metallic thin films is investigated via computer simulations by using the free-moving boundary value problem. The effects of the drift-diffusion…

Materials Science · Physics 2009-10-27 Tarik Omer Ogurtani , Aytac Celik , Emre Ersin Oren

The shape evolution of two-dimensional islands through periphery diffusion biased by an electromigration force is studied numerically using a continuum approach. We show that the introduction of crystal anisotropy in the mobility of edge…

Materials Science · Physics 2009-11-10 Philipp Kuhn , Joachim Krug , Frank Hausser , Axel Voigt

A two PDEs-based model is developed for studies of a morphological and compositional evolution of a thermodynamically stable alloy surface in a strong electric field, assuming different and anisotropic diffusional mobilities of the two…

Materials Science · Physics 2015-06-18 Mikhail Khenner , Mahdi Bandegi

Surface diffusion and surface electromigration may lead to a morphological instability of thin solid films and nanowires. In this paper two nonlinear analyses of a morphological instability are developed for a single-crystal cylindrical…

Materials Science · Physics 2025-01-22 Mikhail Khenner

A systematic study based on the self-consistent dynamical simulations is presented for the spontaneous evolution of an isolated thin solid droplet on a rigid substrate, which is driven by the surface drift diffusion induced by the…

Materials Science · Physics 2010-11-25 Tarik Omer Ogurtani , Aytac Celik , Ersin Emre Oren

The surface evolution model based on geometric partial differential equation is used to numerically study the kinetics of dewetting and dynamic morphologies for the localized pinhole defect in the surface of the ultrathin solid film with…

Materials Science · Physics 2009-11-13 M. Khenner

The morphology of crystalline thin films evolving on flat rigid substrates by condensation of extra film atoms or by evaporation of their own atoms in the surrounding vapor is studied in the framework of the theory of Stress Driven…

Analysis of PDEs · Mathematics 2024-11-05 Paolo Piovano , Francesco Sapio

We derive a stochastic nonlinear continuum theory to describe the morphological evolution of amorphous surfaces eroded by ion bombardment. Starting from Sigmund's theory of sputter erosion, we calculate the coefficients appearing in the…

Materials Science · Physics 2007-05-23 Maxim Makeev , Rodolfo Cuerno , Albert-László Barabási

We consider the shape evolution of two-dimensional islands on a crystal surface in the regime where mass transport is exclusively along the island edge. A directed mass current due to surface electromigration causes the island to migrate in…

Materials Science · Physics 2007-05-23 Philipp Kuhn , Joachim Krug

The rate of melting of a solid and the rate of deformation of the resulting melt due to capillary forces are comparable in additive manufacturing applications. This dynamic structural change of a melting solid is extremely challenging to…

Computational Physics · Physics 2018-04-18 Michael Blank , Prapanch Nair , Thorsten Pöschel

An evolution partial differential equation for the surface of a non-wetting single-crystal film in an attractive substrate potential is derived and used to study the dynamics of a pinhole for the varying initial depth of a pinhole and the…

Materials Science · Physics 2009-11-13 M. Khenner

Morphological properties of strained epitaxial films are examined through a mesoscopic approach developed to incorporate both the film crystalline structure and standard continuum theory. Film surface profiles and properties, such as…

Materials Science · Physics 2015-05-18 Zhi-Feng Huang , Ken Elder

Electromigration-induced flow of islands and voids on the Cu(001) surface is studied at the atomic scale. The basic drift mechanisms are identified using a complete set of energy barriers for adatom hopping on the Cu(001) surface, combined…

Condensed Matter · Physics 2016-08-31 Hanoch Mehl , Ofer Biham , Oded Millo , Majid Karimi

While fluids near a solid surface are at the core of applications in energy storage/conversion, electrochemistry/electrowetting and adsorption/catalysis, their nanoscale behavior remains only partially deciphered. Beyond conventional…

Soft Condensed Matter · Physics 2026-01-07 Cecilia Herrero , Lyderic Bocquet , Benoit Coasne

In numerous solution-processed thin films, a complex morphology resulting from liquid-liquid phase separation (LLPS) or from polycrystallization arises during the drying or subsequent processing steps. The morphology has a strong influence…

Applied Physics · Physics 2022-06-28 Olivier J. J. Ronsin , Jens Harting

A PDE-based model combining surface electromigration and wetting is developed for the analysis of morphological stability of ultrathin solid films. Adatom mobility is assumed anisotropic, and two directions of the electric field (parallel…

Materials Science · Physics 2015-06-12 Mikhail Khenner

A theoretical analysis of surface fluctuations of a freely standing thermotropic smectic-A liquid crystal film is provided, including the effects of viscous hydrodynamics. We find two surface dynamic modes (undulation and peristaltic). For…

Soft Condensed Matter · Physics 2009-10-30 Hsuan-Yi Chen , David Jasnow

Using an interface displacement model derived from a microscopic density functional theory we investigate thin liquidlike wetting layers adsorbed on flat substrates with an embedded chemical heterogeneity forming a stripe. For a wide range…

Soft Condensed Matter · Physics 2009-10-31 C. Bauer , S. Dietrich , A. O. Parry

The evolution of the atomic structures of the combinatorial library of Sm-substituted thin film BiFeO3 along the phase transition boundary from the ferroelectric rhombohedral phase to the non-ferroelectric orthorhombic phase is explored…

Data Analysis, Statistics and Probability · Physics 2021-03-03 Chris Nelson , Anna N. Morozovska , Maxim A. Ziatdinov , Eugene A. Eliseev , Xiaohang Zhang , Ichiro Takeuchi , Sergei V. Kalinin

The geometries of surface wave modes are determined by the highly nontrivial interplay of capillarity and wetting effects at the boundaries of their domain. Aside from idealised scenarios, this commonly leads to unknown boundary conditions,…

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