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Thin film deposition on weakly interacting substrates exhibits a unique growth mode characterized by initially strong island formation and rapidly increasing roughness, which reaches a maximum and subsequently decreases as the film returns…

Unstable homoepitaxy on rough substrates is treated within a linear continuum theory. The time dependence of the surface width $W(t)$ is governed by three length scales: The characteristic scale $l_0$ of the substrate roughness, the terrace…

Statistical Mechanics · Physics 2007-05-23 Joachim Krug , Martin Rost

Unstable homoepitaxy on rough substrates is treated within a linear continuum theory. The time dependence of the surface width W(t) is governed by three length scales: The characteristic scale $l_0$ of the substrate roughness, the terrace…

Statistical Mechanics · Physics 2009-10-31 Joachim Krug , Martin Rost

Understanding non-equilibrium phenomena, such as growth, and connecting them to equilibrium phase behavior is a major challenge, in particular for complex multicomponent materials. We use X-ray reflectivity to determine the surface…

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

A continuum dynamical model is developed to determine the morphological and compositional instabilities on the free surface of heteroepitaxial alloy films in the absence of growth. We use linear stability analysis to study the early…

Statistical Mechanics · Physics 2009-11-07 Zhi-Feng Huang , Rashmi C. Desai

A strained epitaxial film deposited on a deformable substrate undergoes a morphological instability relaxing the elastic energy by surface diffusion. The nonlinear and nonlocal dynamical equations of such films with wetting interactions are…

Statistical Mechanics · Physics 2011-11-16 Jean-Noel Aqua , Thomas Frisch , Alberto Verga

Partially wetting nematic liquid crystal (NLC) films on substrates are unstable to dewetting-type instabilities due to destablizing solid/NLC interaction forces. These instabilities are modified by the nematic nature of the films, which…

Soft Condensed Matter · Physics 2021-01-05 M. Lam , L. Kondic , L. Cummings

We discuss instabilities of fluid films of nanoscale thickness, with a particular focus on films where the destabilising mechanism allows for linear instability, metastability, and absolute stability. Our study is motivated by nematic…

Soft Condensed Matter · Physics 2018-04-04 Michael-Angelo Y. -H. Lam , Linda J. Cummings , Lou Kondic

It is shown how the combination of atomic deposition and nonlinear diffusion may lead, below a critical temperature, to the growth of nonuniform layers on a substrate. The dynamics of such a system is of the Cahn-Hilliard type, supplemented…

Pattern Formation and Solitons · Physics 2013-07-22 Daniel Walgraef

Linear and weakly nonlinear stability analyses of an externally shear-imposed, gravity-driven falling film over a uniformly heated wavy substrate are studied. The longwave asymptotic expansion technique is utilized to formulate a single…

Fluid Dynamics · Physics 2024-05-22 Md. Mouzakkir Hossain , Sukhendu Ghosh , Harekrushna Behera , G. P. Raja Sekhar

The propagation of nonlinear waves in one dimensional space, unsteady and compressible flow in Darcy-type porous media is analyzed. It is assumed that the weak discontinuity propagate long the characteristic path using the characteristics…

Fluid Dynamics · Physics 2019-07-24 Mithilesh Singh

Roughness and orientational order in thin films of anisotropic particles are investigated using kinetic Monte Carlo simulations on a cubic lattice. Anisotropic next-neighbor interactions between the lattice particles were chosen to mimic…

Soft Condensed Matter · Physics 2022-09-08 Eelco Empting , Nicolas Bader , Martin Oettel

We study the effects of time-dependent substrate/film temperature in the deposition of a mesoscopically thick film using a statistical model that accounts for diffusion of adatoms without lateral neighbors whose coefficients depend on an…

Statistical Mechanics · Physics 2013-10-30 T. A. de Assis , F. D. A. A. Reis

We unravel the linear stability properties of an otherwise stagnant ultrathin non-wetting liquid film of thickness $h_o$ coating a spherical substrate of radius $R$. The configuration is known to be unstable due to the competition of the…

Fluid Dynamics · Physics 2023-11-27 D. Moreno-Boza , A. Sevilla

The dynamics of a thin liquid film on the underside of a curved cylindrical substrate is studied. The evolution of the liquid layer is investigated as the film thickness and the radius of curvature of the substrate are varied. A…

A linear stability analysis of the hydrodynamic equations with respect to the homogeneous cooling state is carried out to identify the conditions for stability of a granular gas of rough hard spheres. The description is based on the results…

Soft Condensed Matter · Physics 2018-05-10 Vicente Garzó , Andrés Santos , Gilberto M. Kremer

In this paper, the influence of non-Newtonian material properties on the draw resonance instability in film casting is investigated. Viscoelastic models of infinite width film casting are derived systematically following an asymptotic…

Fluid Dynamics · Physics 2020-03-23 Mathias Bechert

It has been experimentally observed that weakly conducting suspended films of smectic liquid crystals undergo electroconvection when subjected to a large enough potential difference. The resulting counter-rotating vortices form a very…

patt-sol · Physics 2009-10-30 V. B. Deyirmenjian , Zahir A. Daya , Stephen W. Morris

Cuprous oxide (Cu2O) films from 25 nm to 1500 nm were electrodeposited on n-Si(100) and Ni/n-Si(100) substrates from aqueous solution at room temperature. X-ray diffraction and transmission electron microscopy imaging show that the Cu2O…

Materials Science · Physics 2015-10-12 I. S. Brandt , V. C. Zoldan , V. Stenger , C. C. Pla Cid , A. A. Pasa , T. J. Oliveira , F. D. A. Aarao Reis
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